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BlackZzzverrR [31]
3 years ago
6

The selling price for a classic car is $12,000, which is $500 less than two times its original price. What was the original pric

e of the car?
Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:$6250

Step-by-step explanation:

selling price(sp)=12000

Original price(op)=?

sp+500=2 x op

12000+500=2 x op

12500=2 x op

Divide both sides by 2

12500/2=(2 x op)/2

6250=op

Therefore original price is $6250

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

V = \frac{4}{3}\pi r^3

Divide both sides by r

\frac{V}{r} = \frac{4}{3r}\pi r^3

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

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abruzzese [7]

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Given the graph below, which of the following points would be included in the graph of the inverse of the function?
Svetlanka [38]

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3 years ago
SOMEONE WHOS GOOD AT EXPLAINING WITH FULL DETAILS
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Im not sure what you are asking, but for a probability tree, you have the total # of something at the very top of the tree, next it branches out into groups, and those groups represent something like colored marbles or something... and to find percent you divide the total number like the number of marbles bye 100 and multiply that number bye the thing that you're trying to get job percent like a color of marbles, I hope this helped...
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