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inn [45]
3 years ago
7

A video rental company offers a plan that includes a membership fee of $10 and charges $5 for every DVD borrowed. They also offe

r a second plan, that costs $30 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that?
Mathematics
1 answer:
babunello [35]3 years ago
8 0

Answer:

  4

Step-by-step explanation:

The cost for plan 1 will be ...

  p1 = 10 +5x

The cost for plan 2 will be ...

  p2 = 30

These costs are equal when ...

  p1 = p2

  10 +5x = 30

  5x = 20 . . . . . . . . subtract 10

  x = 4 . . . . . . . . . . . divide by 5

The two plans will cost the same if a customer borrows 4 DVDs in a month.

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Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT
Paul [167]

Answer:

The space NOT occupied by the tennis balls is 12.26 cube inches.

Step-by-step explanation:

The space NOT occupied = volume of cylinder - total volume of spheres

The can is cylinder with volume = \pir^{2}h

where r is the radius and h the height of the cylinder

With the given condition,

r = \frac{diameter}{2} = \frac{2.5}{2}

                 = 1.25 inches

h = 3 x diameter = 3 x 2.5

                     = 7.5 inches

So that,

Volume of the can = \frac{22}{7} x (1.25)^{2} x 7.5

                               = 36.830

Volume of can is 36.83 cube inches.

The tennis ball is a sphere with volume = \frac{4}{3}\pir^{3}

                                = \frac{4}{3} x \frac{22}{7} x (1.25)^{3}

                                = 8.185

Volume of the tennis ball is 8.19 cube inches.

Since they are sold in three's, then;

total volume of the tennis balls = 3 x 8.19

                                     = 24.57

Volume of the tennis balls is 24.57 cube inches.

Thus,

The space NOT occupied = 36.83 - 24.57

                                           = 12.26

The space NOT occupied by the tennis balls is 12.26 cube inches.

7 0
3 years ago
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