A sandbox is a right rectangular prism

If 17 bumper stickers cost $13.94, then 11 bumper stickers cost?

Lady bird [3.3K]

$9.02 because if you divide 13.94 by 17 you get 0.82, the price per sticker, then multiply that by 11 to find the price of 11 stickers.

6 0

3 years ago

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Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12

e-lub [12.9K]

Answer:

The height of the pan is 2 inches.

Step-by-step explanation:

Given : Paul bags of raisin bars in a pan shaped like a rectangle or prism the volume of the pan is 252 in.³ the length of the pants 12 inches and it's with is $10\frac{1}{2}$ inches.

To find : What is the height of the pan ?

Solution :

The volume of a rectangle or prism is

$V=l\times w\times h$

Where, l=12 inches is the length

$w=10\frac{1}{2}$ inches is the width

V=252 in.³ is the volume

h is the height

Substitute the value,

$252=12\times 10\frac{1}{2}\times h$

$252=12\times \frac{21}{2}\times h$

$h=\frac{252\times 2}{12\times 21}$

$h=2$

Therefore, the height of the pan is 2 inches.

7 0

3 years ago

The height of a cable that runs between two supports on a suspension bridge can be modeled by a quadratic function () where is t

Murrr4er [49]

What is the vertex

Its vertex is at (36, -10)

Let us assume that the left edge of the cable is at the origin.

Since the cable is at its lowest height 10 feet halfway between the two supports, the y-coordinate of its lowest point is -10 ft and the x coordinate is 72 ft/2 = 36 ft.

So, its vertex is at (36, -10)

Axis of symmetry

The y-axis.

Since the cable is symmetric about its lowest point, the axis of symmetry is the y-axis.

Domain

The domain is (0, 72).

Since the minimum value of its x-coordinate is at the origin which is x = 0 and the maximum value is at the other support which is at x = 72 ft,

the domain is (0, 72).

Range

The range is (0, -10)

Since the minimum value of the y-coordinate is -10ft and the maximum value is at the origin y = 0,

the range is (0, -10)

x and y-intercepts

The x-intercept is (0, 72) and the y-intercept is (0, 0)

Since the cable is attached at the origin and at 72 feet away from the origin at the other support, the x-intercept is 0 and 72 ft and the y-intercepts are 0 and 0.

So, the x-intercept is (0, 72) and the y-intercept is (0, 0)

Learn more about quadratic functions here:

brainly.com/question/10606041

5 0

2 years ago

It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked

tresset_1 [31]

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

$\frac{1}{tb}$ = $\frac{1}{t1}$ + $\frac{1}{t2}$ , where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

$\frac{1}{tb}$ = $\frac{1}{5}$ + $\frac{1}{10}$

$\frac{1}{tb}$ = $\frac{4}{20}$ + $\frac{2}{20}$

$\frac{1}{tb}$ = $\frac{6}{20}$

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

5 0

3 years ago

There are infinitely How many pairs of numbers of which the sum of their cube roots is zero give two of these pairs

ivanzaharov [21]

Answer:

Infinite pairs of numbers

1 and -1

8 and -8

Step-by-step explanation:

Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:

$\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y$

Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.

Examples: 1 and -1; 8 and -8; 27 and -27.

8 0

3 years ago