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ivolga24 [154]
2 years ago
5

The Italian size of a suit jacket is N centimeters, where N is the linear distance between the armpits. The American size of a s

uit jacket is 2.5P centimeters, where 2.5P is twice the linear distance between the armpits. If, for a particular jacket, N = P + 10, which of the following is closest to the value of N?
A. 36
B. 47
C. 58
D. 65
E. 72
Mathematics
1 answer:
Gekata [30.6K]2 years ago
5 0

Answer:

B) 47

Step-by-step explanation:

Given:

N = linear distance between the armpits in cm

2.5P = 2N

or

P = (2 ÷ 2.5)N

or

P = 0.8N         ................(1)

also,

N = P + 10,

substituting the value of P from (1) we get

N = 0.8N + 10

or

N - 0.8N = 10

or

0.2N = 10

or

N = 10 ÷ 0.2

or

N = 50

Hence

the value is closest to option (B) 47

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ALGEBRA 1, SEMESTER 2
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So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is \frac{y_2-y_1}{x_2-x_1} . Using what we have, we can solve it as such:

\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}

In short, the average rate of change from x = 0 to x = 8 is 5/21.

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