Only one of the comparisons below is correct. Which is correct? What benchmark was used in your answer?

ANSWERS ARE:

2/3<1/2; I used 1/2 as a benchmark.
1/2=3/5; I used 1/4 as a benchmark.
2/3<9/10; I used 3/4 as a benchmark.
3/4<2/3; I used 1/2 as a benchmark.

Answer:

x = 22.5°

3x = 67.5°

5x = 112.5°

7x = 157.5°

Step-by-step explanation:

You have both 2° and x for the measure of the first angle. I used x°.

Sum of the measures of the interior angles of a polygon

For an n-sided polygon:

(n - 2)180° = 2(180°) = 360°

x° + 3x° + 5x° + 7x° = 360°

16x = 360

x = 22.5°

3x = 67.5°

5x = 112.5°

7x = 157.5°

Answer:there you go

Step-by-step explanation:

use a graphing calc

142 9/10



6*23=138, 138+4 9/10=142 9/10

For upcoming trip. Tim should hire company A

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Given,

Distance to cover = 250 miles

For company A

By the graph line passes through

(200, 200) , (0,150)

equation of the line,

y-150 = [(200-150)/(200-0)](x-0)

y-150 = [50/200] x

y = x/4 + 150

y = 0.25 x + 150

No. of miles = 250

y = 0.25×250 + 150

y = 62.5 + 150

y = $212.5

Price for company B

y' = 0.75x + 50

where x is number of miles

for 250 miles price of company B

y' = 0.75 × 250 + 50

y' = 187.5 + 50

y' = $237.5

∵ y < y'

∴Price of trip with company A is less than company B

Hence, Tim should hire Company A for upcoming trip.

Learn more about linear equation here:

https://brainly.com/question/29739212

#SPJ1

Answer:

3 - 1

12 - 4

21 - 7

Step-by-step explanation:

Answer:

youd start and see that you can divide 12/3 this gives you 4 you then divide 4/4 and find 1 so he can do 3 lawns in 1 hour thus you just mutiplltiply each side by 7 so it'd be 21 and 7

Step-by-step explanation:

should look like this

3          1

12         4

21         7

Answer:

48 sq cm

Step-by-step explanation:

The smaller square is 3' x 3' = 9 square feet.

The larger square is 9' x 9' = 81 square feet.

9 goes into 81 exactly 9 times (81 / 9 = 9), so we could just multiply the 54 cm by 9 and get your answer in centimetres.

54 x 9 = 486 cm

The amount per gallon that Dawn will spend is $2.3 per gallon.

It should be noted that a word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In the information given, it was stated that Dawn spent $32.2 in 14 gallons of gas. The amount per gallon will be:

= Total amount / Number of gallons

= $32.2 / 14

= $2.3

Learn more about word problem on

brainly.com/question/21405634

#SPJ1

Answer:

The answer is option c.

Please could you give me brainliest

Answer:

The slope is 1.  It is the number before the x.  If we do not see a number, we assume that the number is 1.

Step-by-step explanation:

Answer:

The slope: 1

Step-by-step explanation:

The slope is simply the number in front of the x ONLY in the form y=mx+b, which it is currently in. If it is not in that form, try and manipulate the equation to put it into that form.

Moreover, if it is just x by itself imagine there being a 1 in front of it.

The answer: 1

The number of groups of 5/3 are in 1 would be equal to 3/5

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Division of fraction

Given that groups of 5/3 are in 1

= 1 ÷ 5/3

Then Multiply by the reciprocal of 5/3

The reciprocal of 5/3 is 3/5

1 ÷ 5/3

= 1 × 3/5

= 3/5

Therefore, the number of groups of 5/3 are in 1 is; 3/5

Learn more about division of fraction:

brainly.com/question/1622425

#SPJ2

Factors of  [tex]$$4(x-y)^3-x+y$$[/tex] are [tex]4 x^3-12 x^2 y+12 x y^2-4 y^3-x+y[/tex] and [tex]$16 x^{16}-1$[/tex], respectively, are [tex]\left(4 x^8+1\right)\left(2 x^4+1\right)\left(2 x^4-1\right)\end{aligned}$$[/tex].

Let's incrementally simplify.

[tex]$$4(x-y)^3-x+y$$[/tex]

Distribute:

[tex]$$=4 x^3+-12 x^2 y+12 x y^2+-4 y^3+-x+y$$$=4 x^3-12 x^2 y+12 x y^2-4 y^3-x+y$[/tex]

Factor [tex]$16 x^{16}-1$[/tex]

[tex]$$\begin{aligned}& 16 x^{16}-1 \\& =\left(4 x^8+1\right)\left(2 x^4+1\right)\left(2 x^4-1\right)\end{aligned}$$[/tex]

When you factorize a number in mathematics, you divide it into smaller numbers that, when multiplied together, give you the original number. Factorization occurs when a number is divided into its components or divisors. For illustration, the factorization of the integer 12 can appear as 3 times 4. When you factorize a number in mathematics, you divide it into smaller numbers that, when multiplied together, give you the original number. Factorization occurs when a number is divided into its components or divisors. For illustration, the factorization of the integer 12 can appear as 3 times 4. Each check takes longer on average due to the larger size of our product and the larger size of the numbers we use to verify it.

To learn more about factorization refer to :

https://brainly.com/question/25829061

#SPJ1

Answer: 5

Step-by-step explanation: To solve f(x), g(x), or f(g(x)) problems, we place the value of x in the functions with the value that we are given. This value will be f(g(5)) or g(3) or f(27). We plug in the number in the parentheses.

In this problem, we have to first plugin 5 to g(x) then plug g(5) into f(x).

First, we do g(5)=sqrt((5^2)+2). This gives us 3. Then we plug in 3 which is g(5) into f(x). This gives us f(g(5)) or f(3)=sqrt((3^3)-2) which is 5.

The equivalent exponential equations are given as follows:

[tex]2^{4x} = 2^{3(x - 3)}[/tex]

The exponential expression for this problem is defined as follows:

[tex]2^{4x} = 8^{x - 3}[/tex]

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

[tex]8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}[/tex]

Meaning that the correct option is given by the fourth option.

More can be learned about the power of a power property at brainly.com/question/11975096

#SPJ1

Proportionately, the number of cups of strawberries that Maria needs to use is 3¹/₈ cups.

Proportion refers to a part of a whole.

Proportion is a ratio of one value to another.

Proportions are depicted as decimals, fractions, or percentages.

In this situation, we know that the amount of strawberries is a fractional value of the combined fruits.

Thus, we can multiply the fraction of strawberries against the combined value of the other fruits to determine the number of cups of strawberries needed.

Kind of Fruit       Amount

Grapes               3²/₃ cups

Melon                 2¹/₄ cups

Pineapple          2³/₄ cups

Total of other fruits = 8²/₃ cups

Strawberries             ?

Strawberries = 3¹/₈ (8²/₃ x ³/₈)

Thus, Maria needs 3¹/₈ cups of strawberries.

Learn more about proportions and ratios at https://brainly.com/question/1496357

#SPJ1

Answer:

Step-by-step explanation:

To find the percentage of men who are over 70.5 inches tall, we need to use the standard normal distribution table, which gives the proportion of observations that fall within a given range of standard deviation from the mean.

We first need to standardize the height of 70.5 inches by subtracting the mean (68 inches) and dividing by the standard deviation (2.5 inches) to get (70.5 - 68) / 2.5 = 0.8

This tells us that 70.5 inches is 0.8 standard deviations above the mean.

We can then look up the proportion of observations that fall within this range in the standard normal distribution table, which is approximately 0.1587 or 15.87%. So, the answer is (1-0.1587) = 84.13 or 84.13%.

So the answer is 84.13%

The length of other side is 20.8 in the given triangle.

What is a triangle ?

triangle can be defined in which it consists of three sides and three angles and sum of all the angles is always 180 degrees .

Given in the triangle ,

AC = 27 cm

AB = 9 cm

CAB = 74 degrees

a2 = b2 + c2 – 2bc cos ∠x

a2 = 27*27 + 9*9 - 2*27*9*cos74

a2 = 529 + 81 - 486*0.27

a2 = 610-486*0.27

a2 = 610-131.22

a2 = 479

a= [tex]\sqrt{479}[/tex]

a = 20.8  (approximately)

Hence the length of other side is 20.8 in the given triangle.

To learn more about triangle from the given link.

https://brainly.com/question/2773823

#SPJ1

The sum of the exterior angles for a parallelogram is 360°.

Exterior angles are angles that are formed outside two lines when they intersect. They are located outside the two lines, on the outside of the shape. They can be found by adding the two interior angles together, whose measurements are always equal to 180 degrees. Exterior angles are also supplementary angles, meaning that the sum of their measurements is always equal to 360 degrees.

This is because the four angles on the outside of the parallelogram are all right angles, and the sum of four right angles is 360°.

Similarly, the sum of the exterior angles for a hexagon is also 360°.

This is because the six angles on the outside of the hexagon are all 120° angles, and the sum of six 120° angles is 360°.

To know more about exterior angle click-
https://brainly.com/question/29344920
#SPJ1

The answer to the system of equations 3x-2y=3 and -4x+5y=-11 is (6, 7). An equation is a proposition that has two equal sides as well as an equal sign .

what is equation ?

It is thought that a number's simplest form is represented by its smallest equivalent fraction. finding the simplest form: what to do. For shared factors, look into the numerator and denominator. Examine a fractional integer to determine if it is a prime number. An equation is a proposition that has two equal sides as well as an equal sign in the middle. In the general form of any equation, the degrees of all the variables are listed in descending order. The common representation of a system of equations is an x + b = 0. x + b y + c = 0 is the general form of a two-variable linear equation (or something similar). Identity or conditional equations are the two categories under which equations fall. An identity holds true regardless of how the variables are valued.

given

Equation substitution is another name for combining the equations. When one variable is added to another equation, this is done.

-8x - 5y = -13

-4x - 5y = 11

Let's make the second equation a one-variable-on-each-side equation.

-5y = 4x + 11

y = -4/5x - 11/5

Put this into your first equation right now.

-8x - 5(-4/5x - 11/5) = -13

Give out the -5 symbol.

-8x + 4x + 11 = -13

Stack similar phrases.

-4x + 11 = -13

-4x = -24

Divide both sides by -4 to isolate x.

x = -24/-4

x = 6

Reintroduce this to either equation now.

y = -4/5(6) - 11/5

Multiply.

y = -24/5 - 11/5

Subtract.

y = -35/5

Simplify.

y = -7

The answer to the system of equations 3x-2y=3 and -4x+5y=-11 is (6, 7).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

If the two graphs are mirror images of one another across the line y = x, then they are inverse functions.[tex]$f(x)=\frac{x}{3}+10$ \\[/tex] and [tex]$g(x)=3 x-10$[/tex]

As for looking at the graphs, we already knew that. You should keep in mind that inverse functions are represented by two graphs that are mirror images of one another over the line y = x. The broadest definition of an inverse function is one that "reverses" another function.

The inverse, for instance, must take b to an if a function goes from a to b. When the first and second elements of each pair in the original function are switched, a set of ordered pairs is obtained that is known as the inverse of the function. The act of switching the x and y coordinates is known as obtaining an inverse. They aren't opposites. The output of the first function is sent through an inverse function, which then generates an output whose input was the first function.

So, option A) [tex]$f(x)=\frac{x}{3}+10$ \\[/tex] and [tex]$g(x)=3 x-10$[/tex] is the appropriate response.

To learn more about inverse function refer to :

https://brainly.com/question/3831584

#SPJ1

Answer:

10

Step-by-step explanation:

10 is 10 units away from 0 on a number line

-9 is only 9 units away from 0 on a number line

The farthest away from 0 would be 10

The combinations between the linear function g(x) = 4 · x + 1 and the quadratic function g(x) = 4 · x + 1 are f ° g (x) = 16 · x² + 44 · x + 10 and g ° f (x) = 4 · x² + 36 · x + 1, respectively.

Let be f(x) and g(x) a linear function and a quadratic function, respectively. The composition between two functions is represented below:

f ° g (x) = f [g(x)]

g ° f (x) = g [f(x)]

Where the input of the former function is substituted by the latter function. Now we proceed to find the resulting function:

f(x) = x² + 9 · x

g(x) = 4 · x + 1

f ° g (x) = (4 · x + 1)² + 9 · (4 · x + 1)

f ° g (x) = 16 · x² + 8 · x + 1 + 36 · x + 9

f ° g (x) = 16 · x² + 44 · x + 10

g ° f (x) = 4 · (x² + 9 · x) + 1

g ° f (x) = 4 · x² + 36 · x + 1

To learn more on composition of functions: https://brainly.com/question/29127818

#SPJ1

By dividing the circle's diameter by, you may determine a circle's circumference (pi). By dividing 2radius by pi, or 3.14, you may also determine the circumference.

R denotes the circle's radius.

Again,

and C = D

Circumference = 2r

= 2 x 3.14 x 4

= 25.12 cm

To Learn more About circle's circumference refer to:

https://brainly.com/question/18571680

#SPJ1

a) The inequality showing the number of push-ups Jada needs to do each day for the rest of the week to meet her goal of 100 push-ups for the week is 30 + 6x ≥ 100.

b) The solution to the inequality shows D. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal

Inequality is a mathematical statement that two or more mathematical expressions are unequal and not equivalent.

Inequalities are depicted in the following ways:

The total number of full push-ups for the week = 100

The number of push-ups done on Sunday = 30

The remaining number of push-ups for 6 days = 70 (100 - 30)

30 + 6x ≥ 100

6x ≥ 70

x ≥ 12

Learn more about inequalities at https://brainly.com/question/25275758

#SPJ1

a. The function, (f + g)(x), is evaluated as: (f + g)(x) = 5x + 11

b. The function (f + g)(5) = 36

c. (f + g)(5) = 36 means in 5 months, the total number of animals adopted at the two shelters is 36.

We can evaluate functions just as we solve normal algebraic equations when we plug in the given value of a variable.

Given the following:

f(x) = 4x + 9 [number of animals at one shelter]

g(x) = x + 2 [number of animals at another shelter

Part A: Find (f + g)(x)

(f + g)(x) = f(x) + g(x) = 4x + 9 + x + 2

Combine like terms:

(f + g)(x) = 5x + 11

Part B: Find (f + g)(5)

Substitute the x = 5 into the function (f + g)(x)

(f + g)(5) = 5(5) + 11

(f + g)(5) = 25 + 11

(f + g)(5) = 36

Part C: It means in 5 months, the total number of animals adopted at the two shelters is 36.

Learn more about evaluating functions on:

https://brainly.com/question/2284360

#SPJ1

The required number below correctly describes 25 A is 0.025 KA. Option A is correct.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
25 A is the unit of current,
Now,
This unit can be further written as,
25 A = 25 × KA / 1000 = 0.025 KA

The required number below correctly describes 25 A is 0.025 KA. Option A is correct.

Learn more about measurement here:

brainly.com/question/12629581

#SPJ1

Complete question-

which of the numbers below correctly describes 25 A? a) .025 KA, b) .25KA, c) 25,000 uA, d) 2500 mA

Answer:0.093333333333

Step-by-step explanation:

Answer:

$6

Step-by-step explanation:

50% x 2 = 100%

3 x 2 = $6