In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, how many light colors are there?

Answers

Answer 1

Answer: 5x4=20 so 8x4=32 32 light colors in the box

Answer 2

Answer: If we write this as a ratio then it would be 5:8. Now since there are 20 dark colors and also 5, what do 5 and 20 have in common... 5 times 4 is 20 so since we multiplied by 4 on dark colors do the same to the light colors so 8 times 4 = 32. So the answer is 32 light colors

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!The table shows the values of a function f(x).

What is the average rate of change of f(x) from −2 to 2?

Answers

Answer: -4

Step-by-step explanation:

Average rate of change is the slope (m) between the two coordinates (-2, 25) and (2, 9).

$m=(y_2-y_1)/(x_2-x_1)$

$m = (25-9)/(-2-2)$

$=(16)/(-4)$

$= -4$

For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7? (2 points)

Answers

A)Both m(x) and p(x) cross the x-axis at 7.
B)Both m(x) and p(x) cross the y-axis at 7.
C)Both m(x) and p(x) have the same output value at x = 7.
D)Both m(x) and p(x) have a maximum or minimum value at x = 7.

m(x) = p(x) at x = 7

True statement about x = 7.
C)Both m(x) and p(x) have the same output value at x = 7.

Answer: Its true that it but equals 7

Step-by-step explanation:

The expression "an established fact" refers to ____

Answers

given information
postulates
definitions
a theorem that has already been proven
(I'm pretty sure)

A 24 inch x 30 inch poster is made from a picture that is 4 inch x 5 inch. This is an example of A: Expansion
B: Contraction
C: Translation
D: Diagram

Answers

Answer: A: Expansion

Step-by-step explanation:

Given: A 24 inch x 30 inch poster is made from a picture that is 4 inch x 5 inch.

Thus, the dimension of the image = 24 inch x 30 inch

The dimension of pre-image = 4 inch x 5 inch.

We know that the scale factor of dilation is given by :-

$k=\frac{\text{side length of image}}{\text{side length of corresponding side in pre-image}}\n\n\Rightarrow\ k=(24)/(4)=(30)/(5)=6$

Since, k>1, therefore the given dilation is an example of expansion because the dimension of the image is greater than the dimension of pre-image.

It's an expansion because they are expanding the original photograph.

Frank solves the system of equations using the linear combination method. 2x+3y=−13x−5y=10

Which steps would allow him to eliminate the y terms in the system of equations?

Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 5. Add the resulting equations together.

Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 2. Add the resulting equations together.

Multiply 2x+3y=−1 by 2. Multiply 3x−5y=10 by 5. Add the resulting equations together.

Multiply 2x+3y=−1 by 5. Multiply 3x−5y=10 by 3. Add the resulting equations together.

Answers

Answer:

Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

Step-by-step explanation:

To eliminate the y-term. we must multiply both equations by values that make the coefficients of y opposite in sign.

2x + 3y = -1 (1)

3x - 5y = 10 (2)

The easiest way to do this is to multiply Equation (1) by 5

and Equation (2) by 3.

5 × [2x + 3y = -1]

3 × [3x - 5y = 10]

Then, add the two equations.

10x + 15y = -5

9x - 15y = 30

19x = 25

Conclusion: Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

Find the area of the regular polygon. Give the answer to the nearest tenth.pentagon with a side of 6 m (1 point)
A. 123.9 m²
B. 12.4 m²
C. 61.9 m²
D. 49.5 m²

Answers

The area of the regular pentagon: $A=5* (s*a)/(2)$ where s=6m, and a=3*tg 54°= 3*1.37=4.13 m
Explanation: 54° is a half of the inner angle of the pentagon. The interior angles of a pentagon add up to 540°. Each angle is 108°.
Finally: A= $5* (6*4.13)/(2)$ =61.93 m².
Answer: C) 61.9 m²

Answer:

61.9

Step-by-step explanation:

center center is 72 degree for each triangle

the distance of center to the side h=3/tan 36=4.12,

area=5* (4.12*6)/2=61.94==61.9

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