PLS HELP :[
The graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.


A graph shows Number of Pepperoni Rolls on x-axis and Price of Pepperoni Rolls on y-axis. The x-axis scale is shown from 0 to 24 at increments of 4, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pairs 4, 20 and 8, 40 and 12, 60 and 16, 80 and 20, 100 and 24, 120.

Kaiser Roll Packet

Number of Kaiser Roll Packet

Price of Kaiser Roll Packet (dollars)

4

24

8

48

12

72

16

96

How many dollars more is the price of a Kaiser roll packet than the price of a pepperoni roll at Luis's store? (1 point)


a

$1


b

$4


c

$5


d

$6

Answers

Answer 1

Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that the graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.

The price of a Kaiser roll packet = {C1} = (48 - 24)/(8 - 4) = 24/4 = 6

The price of a Kaiser roll  = {C2} = (40 - 20)/(8 - 4) = 20/4 = 5

$6 - $5 = 1

Therefore, Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1


Related Questions

What is the slope of the line that passes through the points (-5, 8)(−5,8) and (-5, 4)(−5,4)?

Answers

The slope of the line that passes through the points (-5, 8)and (−5,4) is undefined.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

A line that passes through the points (-5, 8)and (−5,4).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂),

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (4-8) / (-5 + 5)

m = -4/0

The slope is undefined.

Therefore, the slope is undefined.

To learn more about the slope;

brainly.com/question/3605446

#SPJ1

Ella stacks two boards under a table to make it level. One board is inch thick. The

other board is inch thick. Which equation most closely estimates the thickness of

the two boards?

Answers

"Thickness of two boards = Thickness of first board + Thickness of second board" would be the closely estimated equation.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.

Define quadratic equation.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

The thickness of the two boards together can be represented by the sum of the thickness of each individual board. Therefore, the equation that most closely estimates the thickness of the two boards stacked together is:

Thickness of two boards = Thickness of first board + Thickness of second board

So in this case, the equation would be:

Thickness of two boards = inch + inch

This equation gives the total thickness of two boards stacked together and it's the closest estimation.

To know more about algebra visit:

brainly.com/question/24875240

#SPJ4

What should be added in the polynomial x³ 6x² 11x 8 so that it is completely divisible by X² 3x 2?

Answers

The number that should be added in the polynomial [tex]x^{3}-6x^{2} +11x+8[/tex]  , so that it is completely divisible by  [tex]x^{2} -3x+2[/tex] is  -14  .

What are Polynomials ?

A polynomial is defined as a type of algebraic expression where the exponents of all the variables is a whole number.

The exponents of the variables in any polynomial is a non-negative integer. A polynomial consists of constants and variables.

the polynomial expression is ⇒ [tex]x^{2} -3x+2[/tex], which can be written in factor form  as  : [tex](x-1)(x-2)[/tex] ,

that means the polynomial is divisible by both x = 1 and x = 2 ;

So , on substituting [tex]x=1[/tex] in the polynomial [tex]x^{3}-6x^{2} +11x+8[/tex] ,

we get , [tex]1^{3}-6\times1^{2} +11\times 1+8[/tex] = 14 ;

on substituting [tex]x=2[/tex] in the polynomial [tex]x^{3}-6x^{2} +11x+8[/tex] ,

we get , [tex]2^{3}-6\times2^{2} +11\times 2+8[/tex] = 14 ;

So , the remainder is 14  .

Therefore , -14 should be added in the given polynomial .

The given question is incomplete , the complete question is

What should be added in the polynomial x³ -6x² +11x +8 so that it is completely divisible by x² -3x +2 ?

Learn more about Polynomial here

https://brainly.com/question/16774248

#SPJ4

Carl deposited $1220 in a bank that pays 9% interest, compounded monthly. Find the amount he will have at the end of 3 years.
a.
$3431.45
c.
$1549.40
b.
$1596.55
d.
$1334.44

Answers

The amount he will have at the end of 3 years is $1596.55.

Option B is the correct answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $1220

r = 9%

n = 12

t = 3 years

Amount = P [tex](1 + r/n)^{nt}[/tex]

A = 1220 [tex](1 + 9/12)^{36}[/tex]

A = 1220 [tex](1 + 0.75)^{36}[/tex]

A = 1220 x [tex]1.75^{36}[/tex]

A = $1,596.55

Thus,

The amount after 3 years is $1596.55.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ1

What is the discriminant of the quadratic equation 2x 5x^2 1?

Answers

The discriminant of the quadratic equation 2x + 5x² = 1 is 24.

The discriminant of a quadratic equation is the value calculated from the coefficients of the quadratic equation and it gives information about the nature of the roots of the equation. The discriminant can be used to determine the number and type of solutions/roots of the equation.

-If the discriminant is greater than zero, the equation has two distinct, real solutions (or roots).

-If the discriminant is equal to zero, the equation has one real solution (or root).

-If the discriminant is less than zero, the equation has no real solutions (or roots), only complex solutions.

The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.

Plug in the values and solve for the discriminant of the quadratic equation 2x + 5x² = 1.

b² - 4ac = (2)² - 4(5)(-1) = 24

Hence, the discriminant is 24.

Learn more about discriminant here: https://brainly.com/question/12526527

#SPJ4

At what ordered pair will the function

f ( x ) = √ x + 2 - 2

begin on the coordinate plane?

( ? , ?)

Answers

Answer:(-2,-2)

Step-by-step explanation:

The radical has a value of 0 when x = -2. At that point, the function value is ...

 f(-2) = √(-(-2)-2) -2 = √(0) -2

 f(-2) = -2

can someone please help with this question i’ve been stuck on it for an hour thanks

Answers

Answer:

110° and 215°

Step-by-step explanation:

to measure the bearing from one point to another

the bearing is measured clockwise from a north line.

(a)

clockwise from the north line N at C to D is 110°

(b)

clockwise from the north line N at C to D is 215°

PLS HELP!!!! Will give brainliest (multiple answers) 40PTS
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.

Week 1 Week 2 Week 3
Salesman A 11 14 16
Salesman B 14 15 13
Salesman C 16 12 11
In which week(s), did Salesman C have a larger paycheck than both of the other salesmen? Select all that apply.

Week 3
None of the weeks.
Week 2
Week 1

Answers

Salesman C have a larger paycheck than both of the other salesmen in

None of the weeks.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Salesman A works  earns $65 per sale, with a maximum weekly commission of $1,300

Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale.

Salesman C does not earn any commission. His weekly salary is $900.  Now we have that, A is getting $1300 commission,

and, salary of C is $900, he has no commission.

i.e. C can't earn more than A

Hence, Salesman C have a larger paycheck than both of the other salesmen in None of the weeks.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

The solution is Option D.

The week 1 is when Salesman C have a larger paycheck than both of the other salesmen and is given by the equation C = $ 900

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of sales be represented as x

Let the maximum weekly salary of Salesman C be = $ 900

Now , the weekly salary of Salesman A = $ 65x

where x is the number of sales

And , the weekly salary of Salesman B = $ 300 + $ 40x

Now , on week 1,

Salesman A made 11 sales

Substitute the value of x = 11 in the equation , we get

So , the salary of Salesman A on week 1 = 65 ( 11 )

On simplifying the equation , we get

The salary of Salesman A on week 1 = $ 715

And , Salesman B made 14 sales

Substitute the value of x = 14 in the equation , we get

The salary of Salesman B on week 1 = 300 + 40 ( 14 )

On simplifying the equation , we get

The salary of Salesman B on week 1 = 300 + 560

The salary of Salesman B on week 1 = $ 860

So , Salary of Salesman C on week 1 > salary of Salesman B on week 1 > salary of Salesman A on week 1

And , $ 900 > $ 860 > $ 715

Hence , the solution to the equation is week 1

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

what is k if 1 1/3k=1/3

Answers

Answer: k = 11

Step-by-step explanation:

[tex]\frac{11}{3k} = \frac{1}{3} \\\\[/tex]

Cross multiply:

[tex]11 * 3 = 1*3k[/tex]

[tex]33 = 3k[/tex]

[tex]k = 11[/tex]

At what point does the graph of the linear equation 2x 3y =- 15?

Answers

The graph of the linear equation 2x - 3y = -15 is a line that passes through the point (-5, 5), and has a slope of 2/3.

The linear equation

2x - 3y = -15

can be written in the form

y = mx + b,

where m is the slope and b is the y-intercept. To find the slope of this equation, we can rearrange the equation to be in the form y = mx + b, which gives us

y = (2/3)x - 5.

This means that the slope of the line is 2/3. To find the y-intercept, we can plug in 0 for x and solve for y. This gives us

y = -5.

Therefore, the graph of this equation is a line that passes through the point (-5, 5) and has a slope of 2/3.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

Please help quickly! Due in 2 hours! 20pts

A line which is perpendicular to this line would have a slope of ___.

Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar.

Answers

Answer:

1/2

Step-by-step explanation:

A line that is perpendicular to another has an opposite reciprocal slope. In this case, we can see that the slope of the given line is -2, so the perpendicular line would have a slope of 1/2.

Answer:

1/2

Step-by-step explanation:

The slope of a line perpendicular to any given line is the negative reciprocal of the given line's slope:

[tex]m_\perp = \dfrac{1}{m}[/tex]

In this problem, the slope of the given line is [tex]\dfrac{-2}{1}[/tex] (rise over run).

So, to find the slope of a line that is perpendicular to it, we simply flip the given line's slope and change its sign.

[tex]m_\perp = \dfrac{1}{2}[/tex]

So, a line which is perpendicular to the given line would have a slope of 1/2.

Find the measure of MN

Answers

Answer:

The measure of arcMN is 60°

Step-by-step explanation:

All the way around the circle is 360°. Two marked arcs are 100° and 140°. AngleMON and AngleNOP are marked equal, which means that ArcMN and ArcNP are also equal. So we can write an equation:

100+140 + x+x =360

combine like terms.

240 + 2x = 360

subtract 240.

2x = 120

divide by 2

x = 60

ArcMN is 60°

HELP!!! I WILL GIVE YOU 24 POINTS!!!THINK SMaRTER| Sense or Nonsense? . Emilio and Julia used different ways to find ‡ + 4. Emilio used a rodel to find the quotient. Julia used a related multiplication equation to find the quotient. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.

Answers

Answer:

24

Step-by-step explanation:

24 it's could be ok. I think 24 is good.

Answer: I think it's nonsense??? Not quite sure...

Step-by-step explanation:

write a paragraph defending, refuting, or qualifying William Wordsworth's claim about the value of nature. Use a quote from one of his poems to support your claim OR present one of the quotes as a counterargument, if you are refuting his claim.

Answers

Answer: William Wordsworth, a prominent figure in the Romantic movement, believed that nature had an immense value and could have a profound impact on the human spirit. In his poem "I Wandered Lonely as a Cloud," he wrote, "Nature never did betray the heart that loved her," which is a claim that nature is a constant source of comfort and inspiration. In this poem he praises nature and its ability to be a source of beauty and joy.

One could argue that Wordsworth's claim is true based on the evidence that nature can have a positive impact on mental and physical health. Studies have shown that spending time in nature can reduce stress, improve mood, and boost overall well-being. Additionally, nature can be a source of inspiration for many artists and poets, including Wordsworth himself, who drew inspiration from the natural world for his poetry.

On the other hand, one could argue that Wordsworth's claim is idealistic and may not apply to everyone or every situation. Some people may not find nature as comforting or inspiring, especially those who live in urban areas with limited access to natural spaces. Additionally, there are negative impacts of human activities on nature, such as pollution and deforestation, which can make it harder for some people to find value in nature.

Overall, while Wordsworth's claim that "Nature never did betray the heart that loved her" is a strong statement, and it holds true for many people, but it's a personal perspective that may not apply to everyone. Each individual has their own relationship with nature and it's not always a constant source of comfort, however, it's a treasure that we should take care of, respect and appreciate in order to achieve a better quality of life.

Step-by-step explanation:

Zasha spent $6 on packages of gum. How many more packages of gum that cost $1.20 each can she buy if she has a $20 bill?

Answers

Answer: Zasha spent $6 on packages of gum, which means that she bought 6 / $1.20 = 5 packages of gum.

If she has a $20 bill, she has $20 - $6 = $14 left to spend on gum.

Zasha can buy an additional 14 / $1.20 = 11.6666666666666666666666667 packages of gum with this money.

Rounded down, Zasha can buy an additional 11 packages of gum.

Therefore, Zasha can buy a total of 5 + 11 = 16 packages of gum.

Step-by-step explanation:

She can buy 16 packages
Step-by-step explanation:
mhm yes yes mayum :p

(Car Sales) Of the cars sold during the month of July, 85 had air conditioning, 102 had automatic transmission, and 54 had power steering. 8 cars had all three of these extras. 24 cars had none of these extras. 25 cars had only air conditioning, 56 cars had only automatic transmissions, and 26 cars had only power steering. 11 cars had both automatic transmission and power steering. How many cars had exactly two of the given options

Answers

24 cars lacked power steering but did have air conditioning and an automatic gearbox.

According to the question,

No. of cars with Air conditioning = 88

No. of cars with Automatic transmission = 96

No. of cars with power steering = 76

All three = 4

None of these extras = 19

Only air conditioning = 23

Only automatic transmissions = 61

Only power steering = 28

Power steering and automatic transmission both = 11

The calculation for missing values:

11 - 4 = 7

96-61-4-7 = 24

88-24-4-23=37

It is obvious that 24 cars lacked power steering but did have air conditioning and an automatic gearbox.

To learn more about cars here:

https://brainly.com/question/17827671

#SPJ4

Evaluating Linear Functions

Answers

The value of linear equations are  f(x) = -17 and f(x) = -73 .

What is linear equation ?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

Equation with two variables of degree one is referred to as a linear equation with two variables. Formal expression: ax+by+c=0, where a, b, c R & a, b 0.

A)

f(x) = -2x + 7 when x = -12

   f (x) = -2*12 + 7

          = -24 + 7

          = -17

f(x) = 5x - 13 when x = -14

       f(x) = 5*-14 - 13

             = -60 -13

             = -73

To learn more about linear equation from the given link  

https://brainly.com/question/2030026

#SPJ1

What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?

Answers

The smallest positive integer that is both a multiple of 7 and a multiple of 4, is 28 .

How to find the smallest positive integer ?

To find the smallest positive integer that is both a multiple of 7 and a multiple of 4, first find the multiples of both 4 and 7 to see which multiples are common between them and which are the lowest.

The multiples of 4 and 7 are:

Multiples of 4 :

4, 8, 12, 26, 20, 24, 28, 32, 36, 40,

Multiples of 7 :

7 , 14 , 21 , 28 , 35 , 42 , 49

The smallest positive integer that is both a multiple of 7 and a multiple of 4 is therefore 28.

Find out more on multiples at https://brainly.com/question/14312051

#SPJ1

The magnolia trees purchased for planting at the school are 3 feel tall. Research shows that these types of trees grow at a average of 3/4 per year.

I made a equation y=3/4x+3

Please help me determine the hight of the tree in 3 years!

Answers

Using the linear function given, the tree will have a height of 5.25 feet in 3 years

What is Linear Function

Linear functions are mathematical functions where the output values are in direct proportion to the input values. A linear function has the form

y = mx + c, where m is the slope of the line and c is the y-intercept.

In this problem, the function given already models y = mx + c

Since y = 3/4x + 3;

The height of the tree in 3 years can be solved as;

y = 3/4(3) + 3

y = 9/4 + 3

y = 5.25

The height of the tree in 3 years is 5.25 feet

Learn more on linear function here;

https://brainly.com/question/15602982

#SPJ1

Which is greater, 1 2cup or 1 3cup? How much greater *fractions*

Answers

Answer:

Step-by-step explanation:

A half of a cup is greater than 1/3 of a cup. This is because if you convert the fractions to the nearest common denominator (6) you can see that 1/2 = 3/6 and 1/3 = 2/6, so 1/2 of a cup is greater.

I hoped this helped!!

Wenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

# of movies Frequency

0 4

1 9

2 5

3 6

4 1

a) Find the sample standard deviation, s. (Round your answer to two decimal places. )

b) Find the sample mean x^-

Answers

Answer: 35

Step-by-step explanation:

: i took this quiz before :)

32​(43​x−23​) is equivalent to

Answers

Answer:

1376x-736

Step-by-step explanation:

Take 32 and multiply it by 43. By multiplying vertically, distribute the multiplication of 3 (from 43) times both the 2 and 3 of 32 (right to left)

3 x 2=6; 3 x 3=9:

32

x

43

--------

96

Then, distribute the multiplication of 4 (from 43) times both the 2 and 3 of 32 (right to left) and leave a zero under the last number of your previous answer while moving the distribution of numbers forward.

4 x 2=8; 4 x 3=12

32

x

43

--------

   96

+

1280   <----(this is the zero you must leave under your previous set)

After distributing each number of 43 to each number of 32 while multiplying, add your answers together vertically from right to left and bring down the x:

  96

+

1280

----------

1376x

Now do the same for 32 x -23 after learning vertical multiplication to get -736

Your final answer put together is 1376x-736

The sum of three consecutive integers is 27. Find the value of the greatest of the three.

Answers

Answer: The greatest of the three is 10.

Step-by-step explanation:

27/3=9 so the numbers will be around nine.

8+9+10=27

Answer:

Let x represent the value of the smallest of the three consecutive integers.

Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.

Since the sum of the three integers is 27, we have:

x + (x+1) + (x+2) = 27

Combining like terms, we have:

3x + 3 = 27

Subtracting 3 from both sides, we have:

3x = 24

Dividing both sides by 3, we have:

x = 8

Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.

Thus, the value of the greatest integer is 10.

Step-by-step explanation:

the question in the picture below

Answers

Answer:

answer is option A

Step-by-step explanation:

2x+6≤10or2x+8>20

2x≤10-6 or 2x>12

x≤4/2 or x>2/12

x≤2 or x>6

Which expression is equivalent to 2x² 4 3x² 2x 7?

Answers

Given Expression is equivalent to 5x^2 - 2x + 3 With the Same Variable and exponent we have added or subtracted their constant value.

First, try to learn what is an expression.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4x+ 15, for instance, the terms 4x and 15 are separated from the variable x by the arithmetic sign +.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The following components make into a mathematical expression:

Constant, Variables, Terms, Operators.

Given expression is  (2x^2-4) - (-3x^2+2x-7)

let's Multiply - sign inside the bracket.

2x^2 - 4 + 3x^2 - 2x + 7

With the Same Variable and exponent and their constant value, we can perform mathematical operations like addition, multiplication, and subtraction.

2x^2 + 3x^2 = 5x^2

5x^2 - 2x + 3.

Given Question is  incomplete complete question here.

Which expression is equivalent to  

[tex](2x^2-4)-(-3x^2+2x-7)[/tex]

To know more about expression here:

https://brainly.com/question/13947055

#SPJ4

Match each trig function with its corresponding trigonometric ratio.
Find Sin A, Sin B, Cos A, Cos B, Tan A, Tan B

Answers

The trigonometric ratios for the triangle in this problem are given as follows:

sin(A) = a/c.cos(A) = b/c.tan(A) = a/b.sin(B) = b/c.cos(B) = a/c.tan(B) = b/a.

What are the trigonometric ratios?

The three trigonometric ratios are defined as follows:

Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.

The sides are connect by the right angle, of 90 degrees, while the hypotenuse is the straight line segment that connects the endpoints of each of the sides.

Then the trigonometric ratios presented on the bullet points are used for angles A and B in this problem.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

In an examination, Kavita obtained 72%marks.If the maximum marks are 650, find the marks obtained by Kavita.

Answers

Answer:468

Step-by-step explanation:cause of the max mark is 650 /100=6.5 (1%)

then 6.5*72=468

Select the correct answer. A figure shows a pyramid of height 3 h and a rectangular prism of height h. This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the pyramid to the volume of the prism? A. volume of pyramid volume of prism = 1 B. volume of pyramid volume of prism = 1 9 C. volume of pyramid volume of prism = 3 D. volume of pyramid volume of prism = 2 3 Reset Next

Answers

Answer:

Step-by-step explanation:

The ratio of the volume of the pyramid to the volume of the prism is 1.so, the option A. is correct.

Let the base of  the base of a prism is b and the height of the prism is h.

so, the volume of the prism-

                                    V= [tex]b^{2}[/tex] h

also, given that base of the given pyramid is also b and the height of the pyramid is three times the height of the prism.

                                     h'=3h

so, the volume of the square pyramid-

                                    V'=[tex]\frac{1}{3}[/tex][tex]b^{2}[/tex]h'

                                    V'=[tex]\frac{1}{3}[/tex][tex]b^{2}[/tex](3h)

                                    V'=[tex]b^{2}[/tex]h

so, now-

                                  [tex]\frac{V'}{V}[/tex]=[tex]\frac{b^{2}h }{b^{2}h }[/tex]

                                   [tex]\frac{V'}{V}[/tex]= 1

  so. the ratio of the volume of the pyramid to the volume of the prism is 1.                                

What number should be added to the polynomial 2x³ − 3x² − 8x so that the resulting polynomial leaves the remainder 12 when divided by 2x 1?

Answers

The number that should be added to the polynomial 2x³ - 3x² - 8x is 12x

When a polynomial is divided by a linear factor, the remainder is equal to the constant term of the polynomial multiplied by the reciprocal of the linear factor.

In this case, the polynomial is 2x³ - 3x² - 8x, and the linear factor is 2x-1.

To find the remainder when this polynomial is divided by 2x-1, we need to multiply the constant term of the polynomial, which is -8, by the reciprocal of 2x-1, which is 1/(2x-1).

So the remainder should be -8*(1/(2x-1)) = -8/(2x-1) = -4/(x-0.5)

To make the remainder 12, we will add 12x to the polynomial so that the new constant term is 12.

The polynomial 2x³ - 3x² - 8x + 12x will have a remainder of 12 when divided by 2x-1.

Learn more about Polynomials here:

https://brainly.com/question/30111198

#SPJ4

becky is doing research in which she needs 28 g of a substance that is 30% protein how many grams of each two ingredients one that is 50% protein in the other 25% protein should she mix together

Answers

Therefore, Becky must combine 25.6 grams of the second ingredient (25 percentage protein) with 2.4 grams of the first ingredient (50 percent protein) to create 28 grams of

Define percentage.

A percentage (%) is a number that can alternatively be written as a decimal or fraction and represents a quantity as a proportion of 100. You can change a percentage to a fraction by putting 100 in the numerator and also the percentage number in the numerator.

Here,

Becky will need to blend several substances to obtain the necessary level of protein in order to generate 28 grams of a material that is 30% protein.

Let's name the first ingredient's percentage of protein (50%) "x" and the second ingredient's percentage of protein (25%) "y".

That which we are aware of is

28 grams of the combination are present in total.

It has 30% protein.

50% of the first component is protein.

25% protein makes up the second component.

To express the issue, we can build up the following equations:

x + y = 28 (the total amount of the mixture is 28 grams) (the total amount of the mixture is 28 grams)

(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)

Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:

y = 28 - x

We can substitute this into the second equation:

(0.50)x + (0.25)y = 0.30(28) (28) (30% of the mixture is protein)

We may now solve for one variable in terms of the other using the first equation. If we figure out y, we obtain:

y = 28 - x

This can be used as a substitution in the second equation:

(0.50)x + (0.25)(28-x) = 0.30(28) (28)

which results in:

0.50x + 7 - 0.25x = 8.4

And simplifying even more

0.25x = 0.6

x = 2.4

We now know that 2.4 grams of the combination are made up of the first component, which is 50% protein. Using this knowledge, we can calculate the quantity of the second ingredient:

y=28 - x=28 - 2.4=25.6 grams

To know more about percentage , visit

brainly.com/question/20260562

#SPJ1

Other Questions
in general, what causes a seabreeze Which is a correct expansion of (4x + 1)(2x7 - 2)? For each of the following pairs of terms, explain how the first concept influences the process indicated by the second. Be sure to define the first term and then apply it to the second.Rods, Peripheral Vision Motion Parallax, Depth Perception Proximity, Perception McGurk Effect, Audition For every 4 children in the class who dont have glasses 1 student does. If there are 20 students in the class, how many of them have glasses? What do the stage directions for the actors speaking parts add to your understanding of how the scene would be performed? What is the degree of polynomial 5x 4x 7x? How did the Silk Road impact the production of arts along trading routes? 4. Which of these is NOT involved in proving the converse of the Pythagorean theorem?Ocollecting like terms and applying the distributive propertysubstitution and constructioncongruent trianglessubstitution and contradiction 2 Lauren is using 10 pink beads and 5 black a bracelet. Which beads to decorate ratio compares the number of black beads to the total number of beads She is using? Inventions Promote Change4. How did the harnessing of electricity transform American business? What are the 5 types of electrical incidents? Italian Unification occurred due to which of the following circumstances?Group of answer choicesA. leadership of Camillo di CavourB. military victory of Giuseppe GaribaldiC. the defeat of Austria in northern ItalyD. all of the above Several minutes later, Raul decides to measure the water temperature again. He finds that the temperature changed by -0.6F. What is the temperature of the water now? Show your work. When a real estate loan uses both real and personal property as collateral for the loan it is called a (an) get the standard form and slope-intercept form1. 5x - 6y - 12 = 02. y - 2 = 2/3 (x+3)3. y -9 = 1/7 (x+4)4. y-8 = - 7/2 (x - 2) Cari says if a triangle has the side lengths of 3, , and 9, then the triangle is a 30-60-90 triangle. Dana says if a triangle has the side lengths of 2, , and 4, then the triangle is a 30-60-90 triangle. Who is correct and why Select all the true equations. Group of answer choices 5+0=0 LaTeX: 15\cdot0=015 0 = 0 1. 4 + 2. 7 = 4. 1 LaTeX: \frac{2}{3}\cdot\frac{5}{9}=\frac{7}{12}2 3 5 9 = 7 12 LaTeX: 4\frac{2}{3}=5-\frac{1}{3} Maria believes that she will get a 1 hit in 10% of her softball games, 2 hits in 30% of her games, 3 hits in 55% of her games, and 4 hits in 5% of her games. About how many hits can Maria expect to have each game You are inspecting a user's system after she has complained about slow Internet speeds. After analyzing the system, you notice that the default gateway in the ARP cache is referencing an unknown MAC address. What type of attack has occurred Do my grammar sound right? I do, If I didnt, I wouldnt have asked you if you were ok.