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Elanso [62]
2 years ago
11

Shelby is creating a budget for the week. At her job she earns $15.50 per hour. Her rent cost $300. Shelby wants to have at leas

t $280 left over after paying rent. Which inequality shows how many hours shelby should work
Mathematics
1 answer:
netineya [11]2 years ago
8 0

Answer:

15.5x - 300 >= 280

Step-by-step explanation:

Let x = the number of hours she works.

The amount of money she earns will be 15.50x

Her rent costs $300, so that value gets subtracted from the amount she earns. That makes our expression for how much money she earns:

15.5x - 300

This amount has to be over 280, so our inequality will be:

15.5x - 300 >= 280

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A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
V = 288 * pi

Step two 
Find the radius of the cylinder

<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0
3 years ago
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