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Nezavi [6.7K]
4 years ago
10

one video rental club charges $25 to become a member and 2.50 to rent each video another charges no membership fee but charges $

3.25 to write each video how many videos must you run to make the first Club more economical
Mathematics
1 answer:
ladessa [460]4 years ago
8 0

The total charges for the first club as a function of the number of rentals (x) are

... f1 = 25 + 2.50x

The total charges for the second club are

... f2 = 3.25x

We want to find x so that f1 < f2.

... f1 < f2

... 25 + 2.50x < 3.25x

.. 25 < 0.75x . . . . . . . . . . subtract 2.50x

... 25/0.75 < x . . . . . . . . . divide by the coefficient of x

... 33 1/3 < x

You must rent 34 videos or more to make the first club more economical.

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Answer:

48

Step-by-step explanation:

Remark

Use a^2 + b^2 = c^2 to solve for the height.

Givens

c = 10

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6^2 + h^2 = 10^2

36 + h^2 = 100            Subtract 36

h^2 = 100 - 36

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Area = 1/2 *12 * 8

Area = 48

Comment

You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12

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3 years ago
The length of a room is 18
Virty [35]

<em><u>Question:</u></em>

The length of a room is 18  1 /2  feet. If using  1 /4  inch = 1 foot scale, what would be the length of a wall on a blueprint of a floor plan?

<em><u>Answer:</u></em>

The length of a wall on a blueprint of a floor plan is 4.625 \text{ or } 4\frac{5}{8} \text{ inches }

<em><u>Solution:</u></em>

Given that,

Length\ of\ room = 18\frac{1}{2} \text{ feet }\\\\Length\ of\ room = 18.5 \text{ feet }

The scale given is:

\frac{1}{4}\ inch = 1\ foot

To find: Length of a wall on a blueprint of a floor plan

Let "x" be the length of a wall on a blueprint of a floor plan

Then from given,

\frac{1}{4}\ inch = 1\ foot\\\\x\ inches = 18.5\ feet

This forms a proportion and we can solve by cross multiplying

\frac{1}{4} \times 18.5 = x \times 1\\\\x = 4.625\\\\In\ terms\ of\ mixed\ fraction,\\\\x = 4\frac{5}{8}

Thus length of a wall on a blueprint of a floor plan is 4.625 \text{ or } 4\frac{5}{8} \text{ inches }

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