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ss7ja [257]
3 years ago
14

Find the cost of 12 items if the cost function is C(x) = 2x +12

Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

Answer:

$36

Step-by-step explanation:

we need to find the cost of 12 items, and the function of determining the cost is C(x)=2x+12, where x is the number of items (the input value of the function)

we know that there are 12 items, so in this function, x=12

substitute x as 12 in the function; the x in C(x) also gets substituted as 12, as 12 is the input value and the value of C(x) is the output

C(12)=2(12)+12

multiply

C(12)=24+12

add

C(12)=36

that means, for 12 items, the cost will be $36

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A book had a lenght of 5 inches and a width of 10 inches. What is the area of the book
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Nostrana [21]

Answer:

Please check the explanation.

Step-by-step explanation:

BLUE PENTAGON

The blue shape represents the Pentagon

The length of the side a = 7

As there are 5 sides.

Thus,

The Perimeter of the Blue Pentagon = P = 5a = 5(7) = 35

Using the formula to determine the area of the Pentagon

 A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:

A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(7\right)^2\:\:\:\:\:\:

A\approx 84.3\:\:\:

Thus,

The Area of the Blue Pentagon = A\approx 84.3\:\:\:

RED PENTAGON

The red shape represents the Pentagon

The length of the side a = 4

As there are 5 sides.

Thus,

The Perimeter of the Red Pentagon = P = 5a = 5(4) = 20

Using the formula to determine the area of the Pentagon

 A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}a^2\:\:\:\:\:\:\:\:\:\:\:\:\:

A=\frac{1}{4}\sqrt{5\left(5+2\sqrt{5}\right)}\left(4\right)^2\:\:\:\:\:\:

\:A\approx 27.5

The Area of the Red Pentagon = \:A\approx 27.5

<u><em>Conclusion:</em></u>

The Perimeter of the Blue Pentagon =  35

The Perimeter of the Red Pentagon = 20

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The Area of the Blue Pentagon =  84.3 = 843/10

The Area of the Red Pentagon = 27.5 = 275/10

Thus, the<u><em> ratio of the Area</em></u> is:

 \frac{\frac{843}{10}}{\frac{275}{10}}=\frac{843}{275}

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