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Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.

How many more cookies will Jessica have than Martha?

If x represents the number of cookies Jessica started with, complete the statements below.

The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0
Jessica has at least
_ cookies more than Martha.

Answers

Answer 1

That part is total cookies as per algebraic formula x^2-(a+b)x+ab=0

Hence

The inequality is

[tex]\\ \rm\rightarrowtail x^2-30x+224>=0[/tex]

[tex]\\ \rm\rightarrowtail (x-14)(x-16)>=0[/tex]

[tex]\\ \rm\rightarrowtail 14\leqslant x\leqslant 16[/tex]

Solution range

[14,16]

Atleast means the range

16-142

Atleast 2 more than Martha


Related Questions

What is the area of this triangle?
Enter your answer in the box.
units

Answers

Answer:

[tex]S=\frac{1}{2}\times4\times4=8\ {\rm units}^2[/tex]

[tex]\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}[/tex]

I hope this helps you

:)

Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-

Answers

Answer:

Option C

-3(x² + 2x) + 4x(x + 3) – 3x

Step-by-step explanation:

a.)-3(x² – 2x) + 4x(x + 3) – 12x

-3(x² – 2x) + 4x(x + 3) – 12x

-3x² + 6x + 4x² + 12x – 12x

4x² – 3x² + 6x + 12x – 12x

x² + 6x

Here, The answer is x² + 6x but our required answer is + 3x. So, option a is not the answer.

b.)3(x² + 2x) – 4x(x – 3) + 3x

3(x² + 2x) – 4x(x – 3) + 3x

3x² + 6x – 4x² + 12x + 3x

3x² – 4x² + 12x + 3x + 6x

-x² + 21x

Here, The answer is -x² + 21x but our required answer is x² + 3x. So, option b is not the answer.

c.)-3(x² + 2x) + 4x(x + 3) – 3x

-3(x² + 2x) + 4x(x + 3) – 3x

-3x² – 6x + 4x² + 12x – 3x

4x² – 3x² – 6x + 12x – 3x

+ 3x

Here, The answer is x² + 3x and our required answer is x² + 3x. So, option c is the answer.

Thus, The correct answer is option c.

What is the mean absolute deviation of Madison's exercise times?
Madison's
Exercise Times
20
25
35
40
55

Answers

Answer:

5

Step-by-step explanation:

Answer:

The mean absolute deviation would be 10.

Step-by-step explanation:

I calculated the answer in Microsoft excel. I used a bunch of excel formulas. I do not know how to insert some of the math symbols neccessary to show you my steps. Here is a picture of the formula.

An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210

Answers

Answer:

he has to pay 4980$ in tax

Step-by-step explanation:

Answer:

This question was on my test and I got a 100 so its right

Step-by-step explanation:

Choose the value of (n) that makes the sentence true.
32/n > 2
a. n=8
b.n=32
c.n=16
d.n=64
help me plss​

Answers

The symbol > means that (n) must be greater and cannot be 2.

32/32 = 1

32/16 = 2

32/64 = 1/2

32/8 = 4

Answer would be A

The perimeter of a rectangle is 12 meters. Find the maximum area of such a rectangle. You must support your answer with calculus; an answer without support will receive no credit

Answers

Answer:

9

Step-by-step explanation:

12 divided by 4 is 3

3 multiplied by 3 is 3

The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be the length of the rectangle and y be the width of the rectangle

The perimeter of a rectangle = 2( l + b)

                                         12   =   2(x + y)

                                         (x +y) = 6

                                             y = 6- x

The area of the rectangle = length × Width

                                          = x × y

                                          = x ( 6- x)

                                          = 6x - x^2

Learn more about the area;

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I need help bro like I'm screaming crying rn dude its not even a joke anymore

Answers

Answer: There are 24 monkeys in the tress.

Step-by-step explanation:

a yard is equal in length to three feet

Answers

Answer:

if it takes yards and turns it into feet then it just multiplies it by 3

Step-by-step explanation:

Which choice is equivalent to the fraction below?
5
6

a. 5-6
b. 5•6
c. 6 divided by 5
d. 5 divided by 6

Answers

Answer:

\ is the same as ÷

=d) 5 divided by 6

D. 5 divided by 6

A fraction line is also and other way to write a division sign
Hope this helps
Please mark as brainliest

Can you help me with this

Answers

Answer:

the anwer is d

I did the math

C.
10 to the Ninth power is 1, 000,000,000
1,000,000,000 x 8.06 = 8,060,000,000

what is -4 x 8 x n simplified?

Answers

Answer:

It's -32x^2

Step-by-step explanation:

Recall that in a 30 – 60 – 90 triangle, if the shortest leg measures x units, then the longer leg measures xStartRoot 3 EndRoot units and the hypotenuse measures 2x units. (150StartRoot 3 EndRoot – 75π) ft2 (300 – 75π) ft2 (150StartRoot 3 EndRoot – 25π) ft2 (300 – 25π) ft2.

Answers

The area of the shaded region is  [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex] option first is correct.

It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.

It is required to find the shaded area (missing data is attached shown in the picture).

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a hexagon with a side length of 10 feet.

We know the area of the hexagon is given by:

[tex]\rm A = \frac{3\sqrt{3} }{2} a^2[/tex]  where a is the side length.

[tex]\rm A = \frac{3\sqrt{3} }{2} 10^2[/tex] ⇒ [tex]150\sqrt{3}[/tex] [tex]\rm feet^2[/tex]

We have the shortest length = x feet and from the figure:

2x = 10

x = 5 feet

The radius of the circle r = longer leg

[tex]\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3}[/tex] feet

The area of the circle a = [tex]\pi r^2[/tex]  ⇒ [tex]\pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2[/tex]  

The area of the shaded region = A - a

[tex]\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]

Thus, the area of the shaded region is  [tex]\rm (150\sqrt{3} \ - 75\pi ) \ feet^2[/tex]

Learn more about circle here:

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Answer:

option A

Step-by-step explanation:

Ralph is covering a bulletin board with colored sheets of paper. The ratio of the number of sheets of red paper to the number of sheets of pink paper is 1 to 3. How many sheets of pink paper will Ralph need if he uses 3 sheets of red paper?

Please help ASAP!!

Answers

Answer:C, 9 sheets

Step-by-step explanation:

Answer: It's true, it's 9.

Step-by-step explanation:

Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).


a) x+y=1

2x+y=5




b) x+2y = 4

x +y = 1



c) x-y=-5

x+y= 11


Pls show your work as I want to understand how to solve this type of equation.

Answers

Answer:

B is a the answers for the question

please mark me as brainlest

Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses? a. 1,337,132 won b. 1,026,184 won c. 855,764 won d. 830,456 won.

Answers

An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,

Total Cost =  Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room

Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won

                  = 1,337,132 won

The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,

Amount left for Spending  = Total Budget - Total Cost

                                            = 2,192,896 won - 1,337,132 won

                                            = 855,764 won

Thus, the amount left with Ian to spend is 855,764 won.

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?

a.   1,337,132 won

b.   1,026,184 won

c.   855,764 won<<<CORRECT

d.   830,456 won

Step-by-step explanation:

2022 EDGE TOPIC TEST

For a given input value n, the function h outputs a value mmm to satisfy the following equation.
m+1=-2(n+6)

Write a formula for h(n) in terms of n.

Answers

Considering the equation given, the formula for h(n) in terms of n is given by:

h(n) = -2n - 13

What is the equation?


The equation given is:

m + 1 = -2(n + 6).

We want to write m as a function of n, hence:

m + 1 = -2(n + 6).

m = -2n - 12 - 1

m = -2n - 13

Hence:

h(n) = -2n - 13

More can be learned about equations at https://brainly.com/question/25537936

Write the decimal equivalent for 9 over 5.

Answers

divide 9 by 5 u will get 1.8 as the answer

Answer:  1.8

Explanation:

9 over 5 = 9/5 = 18/10 = 1.8

You can also use long division as shown below.

Or you can use your calculator to quickly get this value.

Please help, I’ll mark your answer as brainliest.

Answers

Answer: the answer is

Step-by-step explanation:

A sculpture in the shape of a triangular pyramid has a height of 10 feet. The area of the base of the sculpture is 12 square feet. What is the volume of the sculpture in cubic feet?

Answers

The volume of the sculpture with triangular pyramid shape is 40 feet³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a pyramid is given as:

Volume = (1/3) * base area * height.

For pyramid with base of 12 feet² and height 10 feet, hence:

Volume = (1/3) * 12 * 10 = 40 feet³

The volume of the sculpture with triangular pyramid shape is 40 feet³

Find out more on volume at: https://brainly.com/question/12410983

find the square root of following by division method
5499025

Answers

the answer to your question is 2345

Answer:

2345

Step-by-step explanation:

5499025

5 1099805

5 219961

7 31423

7 4489

67 67

67 1

5x5x7x7x67x67

pick one of the doubles

5x7x67

=2345

brainiest please

Compare the functions shown below
Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

check the answer in the solution part.

Step-by-step explanation:

[tex]Solution:\ f(x)=-6x-3.\ when\ x=0.\ f(x)=-3[/tex]

                 [tex]h(x)=2\ cos(x+\pi)-1\ when\ x=0.h(x)=-3\\ So\ we\ can\ know\ \left|-3\right|=\left|-3\right|\ so\\ the\ two\ functions\ has\ the\ same\\ y-intercepts.[/tex]

I hope this helps you

:)

Anyone please help me with this question

Answers

Answer:

12

Step-by-step explanation:

these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).

in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.

so, we can use the sides opposite of the 47° angles to find that ratio :

21/9 = 7/3

and now also the sides 28 and x must have the same ratio :

28/x = 7/3

4/x = 1/3

12/x = 1

x = 12

Mrs. Orrie surveyed all classes that he teaches about the three different types of music thay students most listen to. His findings are displayed in the Venn diagram below.

Part A: Determine the probability that a student will like Top-Hits.

Part B: Determine the probability that a student will like country or R&B.

Part C: Determine the probability that a student will not like all three generes of music.

Answers

Using the probability concept, it is found that there is a:

A. 0.5116 = 51.16% probability that a student will like Top-Hits.

B. 0.7907 = 79.07% probability that a student will like country or R&B.

C. 0.9186 = 91.86% probability that a student will not like all three generes of music.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.

Item a:

18 + 11 + 7 + 8 = 44 like top hits, hence:

p = 44/86 = 0.5116.

0.5116 = 51.16% probability that a student will like Top-Hits.

item b:

24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:

p = 68/86 = 0.7907.

0.7907 = 79.07% probability that a student will like country or R&B.

Item c:

Only 7 like all three, hence 86 - 7 = 79 do not.

p = 79/86 = 0.9186.

0.9186 = 91.86% probability that a student will not like all three generes of music.

More can be learned about probabilities at https://brainly.com/question/14398287

help me please i need help

Answers

Yes they intersect at one point

The Chen family drove 345.6 miles on their vacation. They drove the same amount each day of the the 3 days. How many miles did they drive each day?

_____ miles

Answers

Answer:

115.2

Step-by-step explanation:

Take 345.6 miles and divide it by 3 getting your answer. Have a great day!

A new club sent out 180 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?

Answers

They sent 36 coupons to the existing members

On a coordinate plane, 5 trapezoids are shown. Trapezoid L M N P is in quadrant 2 and has points (negative 2, 3), (negative 2, 6), (negative 1, 6), and (negative 1, 4). Trapezoid B is reflected in quadrant 2. Trapezoid C is reflected across the y-axis. Trapezoid D is reflected into quadrant 4. Trapezoid A is reflected across the x-axis.
Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?

figure A
figure B
figure C
figure D

Answers

Answer: C

Step-by-step explanation:

Reflecting over the x axis, the image of a point in Quadrant 2 is a point in Quadrant 3.

Answer:

Figure C

Step-by-step explanation:

-4x - 8 = -(5x + 3) pleasee

Answers

hopefully it's correct!!

Answer:

x = 5

Step-by-step explanation:

-(5x + 3) --> -5x - 3

-4x - 8 = -5x - 3

-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)

-4x = -5x + 5

-4x + 5x = -5x + 5 + 5x (add 5 to both sides)

x = 5

19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50​

Answers

Answer:

i think it's c

Step-by-step explanation:

a. 2/100 × 150= 3. b. 100×400=40000. c. 6/100 ×60= 1.2 ×3=3.6. d. 69×50=3400 so answer c.

Solve each system by graphing. Y=x-4 and y=-x

Answers

Check the picture below.

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