1. A hat store tracks the state of college and professional team hats for m, months. The number ofcollege hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.

Answers

Answer 1
Answer:

1)  The expression representing how many more college hats were sold than professional hats is m+5

when  m=10, 15more college hats were sold

2)  The equivalent expression to -3(4x-2)-2x is -14x+6. The explanation is found in the steps below

3) The length of one side of the square scrapbooking page will be

(2x+5)\text{ inches}. The working is shown below.

1)    According to the question, m is the number of months hats were sold.

6m+3 is the number of college hats sold in m months

5m-2 is the number of professional hats sold in m months

Since 6m+3>5m-2 when m>0

the expression representing how many more college hats were sold than professional hats is

(6m+3)-(5m-2)\n=6m+3-5m+2\n=m+5

when the number of months hats were sold is 10, m=10, and

m+5=(10)+5=15hats

15more college hats were sold in 10 months

2)  To get the equivalent expression to -3(4x-2)-2x, carry out the steps below

remove brackets

-12x+6-2x

arrange like terms

-12x-2x+6

simplify like terms

-14x+6

The answer is (D)

3)  Let the length of one side of the square be s

The perimeter will be  

4s=8x+20

making s the subject of the formula

(4s)/(4)=(8x+20)/(4)\n\ns=(2x+5)\text{ inches}

Learn more about word problems here: brainly.com/question/17067890


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Determine which polynomial has (x – 9) as a factor.

Answers

Answer:

option D

Step-by-step explanation:

(x-9) is a factor

x-9 =0 so x=9

now we plug in 9 for x  and see which polynomial gives us remainder 0

A. x^2 - 6x +9 = 9^2 - 6(9) + 9 = 36

Remainder = 36 so (x-9) is not a factor

B) x^2 + 16x + 63= 9^2 + 16(9) + 63 = 288

Remainder =288 so (x-9) is not a factor

C) x^2 + 14x + 45= 9^2 + 14(9) + 45 = 252

Remainder = 252 so (x-9) is not a factor

D) x^2 - 12x + 27= 9^2 -12(9) + 27 = 0

Remainder = 0 so (x-9) is a factor


Please simplify ∛(16x4)

Answers

∛(16x4) = ∛(64) = 4, because 4^3 = 4 x 4 x 4 = 64. Final Answer: ∛(16x4) = 4

The radius of the Earth is approximately 3,960 miles. Find the approximate surface-area-to-volume ratio of the Earth.

Answers


The surface area of a sphere is          A = 4π R²

The volume of a sphere is                  V = (4/3) ( π) (R³)

The ratio of  (surface area) to (volume) is

                                                  4 π R² / (4/3) (π) (R³)

Divide top and bottom by 4π :      R² / (1/3)     (R³)

Multiply top and bottom by 3:      3 R² / R³

Divide top and bottom by  R² :       3 / R .

For the Earth,

             A / V  =  (3) / (3,960 miles)  =  0.00076 per mile (rounded)

Answer:

B. 0.00076

Step-by-step explanation:

Unit test on e2020

WILL GIVE POINTS: A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint, the table shows different quantities for the same shade of pink. Complete the table.

Answers

Answer:

if red = 1  white = 4/3 or 1 1/3

if white = 1  red = 3/4

if red = 4  white =  = 16/3 = 5 1/3

if white = 5  red = 15/4  =  3 3/4

Step-by-step explanation:

white        4

--------= ---------

red          3


if red = 1

white        4

--------= ---------

1            3

using cross products

white *3 = 4*1

divide by 3

white = 4/3


if white = 1

1           4

--------= ---------

red          3

using cross products

3*1 = 4* red

divide by 4

3/4 = red


if red = 4

white        4

--------= ---------

4            3

using cross products

white *3 = 4*4

white *3 = 16

divide by 3

white = 16/3 = 5 1/3


if white = 5

5            4

--------= ---------

red          3

using cross products

3*5 = 4* red

15 = 4 * red

divide by 4

15/4 = red

3 3/4 = red

PROBLEM:1                 WHITE PAINT                                    PINK PAINT

                                        (CUPS)                                              (CUPS)

                                              4                                                         3        

                                             4/3                                                       1

                                             1                                                         3/4

                                             16/3                                                     4

                                              5                                                         15/4

What is the point of origin on a number line

Answers

0 is the point of origin because it's not really a number, it's more of a starting point for positive and negative numbers. 

If the probability that it will rain on Thursday is , what is the probability that it will not rain on Thursday?

Answers

Da probability would be no, because it is a yes for being able to rain. =)
I hope I helped! =D