5-28. Sophie claims that whenever she increases the perimeter of a rectangle, its area increases. 5-28 HW eTool Homework Help ✎ a. She showed the rectangle at right and said, “If I make the base twice as long, then the area increases.” Is her statement correct for this figure? Draw a diagram of the rectangle she described and explain whether the area is greater or less than the rectangle at right. b. Is her claim about the relationship of area and perimeter correct for all figures? For example, is there any way that she could have a rectangle with a greater perimeter than the figure in part (a) but with the same area? Give examples and explain your reasoning.

Answers

Answer 1

Answer: your answer would be yes and yes on both a. and b. any number that is increased by a factor greater than 0 will always have a larger area

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How many times greater is the value of the 5 in 500 than the value of the 5 in 50

Answers

It is 10 times bigger. It is easy because you can do 50 x 10 which is 500 and you know it is 10 times bigger.

Jenna jump 156 inches in the long jump competition After High School track meet how many feet did Jenna jump

Answers

well lets think about it you need to make inches into feet
if they are telling us the units in inches so if we know i foot has 12 inches we would have to divide 156 by 12
156/12 =13
so that means she jumped 13 feet in long jump!

13 feet hears how:
156/12=13

divide it

Hope this helps

Write an equation for the situation.Jolene bought three blouses at one price and 2
Blouses priced $3 below the oothers. The total
Cost was $91.50 . Find the price of the blouses

Answers

The cost of the three blouses will be $28.5 while the total cost is $91.50.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the cost of the first three blouses is x dollars.

Then.

Total cost = 3x + 2(3)

3x + 6 = 91.50

3x = 85.5

x = 28.5

Hence "The cost of the three blouses will be $28.5 while the total cost is $91.50".

For more about the equation,

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Here is the answer:
Let x equal the price of 1 regular priced shirt
3x+(2(x-3))=91.50

there are 3 lines of people waiting to enter a museum each line has 12 people 4 people decide to leave how many people remain in line

Answers

32. (12×3)-4=32. I really hope that helps.

There are 12*3 people waiting in all. 36. 36- 4= 32

PLEASEEE HELPP The water usage at a car wash is modeled by the equation W(x) = 3x3 + 4x2 − 18x + 4, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 2x3 + 2x2 − 18x − 11
C(x) = 3x3 + 2x2 − 18x + 11
C(x) = 3x3 + 2x2 − 18x − 11
C(x) = 2x3 + 2x2 − 18x + 11

Answers

We have been given that the water usage at a car wash is modeled by the equation $W(x) = 3x^3+4x^2-18x + 4$ , where W is the amount of water in cubic feet and x is the number of hours the car wash is open.

The amount of decrease in water used is modeled by $D(x) = x^3 + 2x^2 + 15$ , where D is the amount of water in cubic feet and x is time in hours.

The function C(x) will be difference of W(x) and D(x) that is $C(x)=W(x)-D(x)$ .

Upon substituting both function values in above formula, we will get:

$C(x)=3x^3+4x^2-18x + 4-(x^3 + 2x^2 + 15)$

Let us remove parenthesis.

$C(x)=3x^3+4x^2-18x + 4-x^3-2x^2-15$

Combine like terms.

$C(x)=3x^3-x^3+4x^2-2x^2-18x+4-15$

$C(x)=2x^3+2x^2-18x-11$

Therefore, the function $C(x)=2x^3+2x^2-18x-11$ represents the water used by the car wash on a shorter day and option A is the correct choice.

Answer:

Step-by-step explanation:

What is 5.38 in its expanded form

Answers

5.38 in expanded form is 5 + 0.3 + 0.08

Expanded form means you have to break it apart into addition.

5.38 in expanded form is:

5 + .3 + .08

Hope I Helped!!!

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