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3 years ago

12

Nat spent $28 on 8 DVDs. At this rate, how much would 5 DVDs cost? What is the unit rate?

2 answers:

Korvikt [17]3 years ago

8 0

You first have to find the rate of the DVDs. To do this you need to divide $28 by the number of DVDs, 8. 28/8 equals 3.5 so that means that a single DVD costs $3.50. To find the rate of 5 DVDs you need to multiply the rate of a single DVD by 5: 3.50 x 5= 17.50
5 DVDs costs $17.50 and the unit rate is $3.50 per DVD

mezya [45]3 years ago

7 0

5 DVDs would cost 7.50 and the unit rate is 3.50

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3 years ago

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yuradex [85]

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A

Step-by-step explanation:

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2 years ago

Four less than the product of 5 and a number is equal to 9 . Use the variable (w) for the unknown number

ivann1987 [24]

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Step-by-step explanation:

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3 years ago

what is the ratio for the volumes of two similar spheres given that the ratio of their radii is 4:7 A.)343:64 B.)49:16 C.)16:49

quester [9]

Answer:

Volume of the similar sphere be 64 :343 .

Option (D) is correct.

Step-by-step explanation:

Formula

$Volume\ of\ a sphere = \frac{4}{3}\pi r^{3}$

As given

The volumes of two similar spheres given that the ratio of their radii is 4:7 .

Let us assume that the x be the scalar multiple of the radi .

Radius of first sphere = 4x

Radius of second sphere = 7x

Putting the values in the formula

$Volume\ of\ first\ sphere = \frac{4}{3}\pi\times 4x\times 4x\times 4x$

$Volume\ of\ first\ sphere = \frac{4}{3}\pi\times 64x^{3}$

$Volume\ of\ second\ sphere = \frac{4}{3}\pi\times 7x\times 7x\times 7x$

$Volume\ of\ second\ sphere = \frac{4}{3}\pi\times 343x^{3}$

Thus

$\frac{Volume\ of\ first\ sphere}{Volume\ of\ second\ sphere} = \frac{\frac{4\pi\times 64x^{3}}{3}}{\frac{4\pi\times 343x^{3}}{3}}$

$\frac{Volume\ of\ first\ sphere}{Volume\ of\ second\ sphere} = \frac{64}{343}$

Therefore the ratio of the volume of the similar sphere be 64 :343 .

Option (D) is correct .

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2 years ago

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