21 is 70 % of what number?

Answers

Answer 1

Answer: 21/x = 70/100 cross multiply and get 30

Answer 2

Answer: Its 30. 21----> 70%
x------> 100%. You do: 100% times 21 divided by 70%.

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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

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

best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $159 for 3 days and 300 miles, while mary was charged $289 for 5 days and 600 miles. what does best rental charge per day and per mile?

Answers

Answer:

Let charge per day be $x and charge per mile be $y

then:

as per the given condition we have;

3x + 300y =159 .....[1]

5x + 600y = 289 .....[2]

Multiply equation [1] both sides by 5 we get;

$5(3x+300y) = 5 \cdot 159$

Using distributive property: $a \cdot(b+c) = a\cdot b+ a\cdot c$

15x+1500y = 795 .....[3]

Multiply equation [2] by 3 both sides we get;

$3(5x+600y) = 3 \cdot 289$

Using distributive property: $a \cdot(b+c) = a\cdot b+ a\cdot c$

15x+1800y = 867 .....[4]

Subtract equation [3] from [4] to eliminate x and solve for y;

15x+1800y-15x-1500y = 867 -795

Combined like terms;

300y = 72

Divide both sides by 300 we get;

$y = (72)/(300)=0.24$

⇒ y =$0.24 per mile.

Now substitute this value y in equation [1] to solve for x;

3x + 300(0.24) =159

3x + 72 =159

Subtract 72 both sides we get;

3x + 72 -72 = 159 -72

Simplify:

3x = 87

Divide both sides by 3 we get;

$x = (87)/(3) = 29$

Therefore, the best rental charges per day is, $ 29 and the charges per mile is, $0.24

The image shows a right triangle in the coordinate plane. What is the measure of segment DF?

Answers

Answer:

10.8 units

Step-by-step explanation:

Answer:

10.8

Step-by-step explanation:

Its True

50 r 3r 20 I need this by tomorrow morning plz!!!!!

Answers

50 + r = 3r + 20
Rearrange on either sides so it is easy to isolate

50 - 20 = 3r - r
30 = 2r

Divide by 2 to isolate r and to find its value

$(30)/(2)$ = $(2r)/(2)$
2 and 2 cancels out

15 = r

Check, if you want :)
50 + (15) = 3(15) + 20
65 = 45 + 20
65 = 65

PLEASE HELP!

Which of the following is a polynomial?