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hjlf
3 years ago
8

Solve. -5/8c = 20 A. -34 B. -32 C. 32 D. 34

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0
- \frac{5}{8} c = 20 

First, simplify \frac{5}{8} c to \frac{5c}{8} / Your problem should look like: - \frac{5c}{8} = 20
Second, multiply both sides by 8. / Your problem should look like: -5c = 160
Third, divide both sides by -5. / Your problem should look like: c = \frac{160}{-5}
Fourth, simplify \frac{160}{-5} to -\frac{160}{5} / Your problem should look like: c = -\frac{160}{5}
Fifth, simplify \frac{160}{5} to 32. / Your problem should look like: c = -32

Answer: B) -32

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Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes)     Altitude (meters)

6                                   -20.4

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m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 represents difference of two y-coordinates,

x_2-x_1 represents difference of two corresponding x-coordinates of y-coordinates.

Let (6,-20.4) be (x_1,y_1) and (9,-27.6) be (x_2,y_2).

m=\frac{-27.6-(-20.4)}{9-6}

m=\frac{-27.6+20.4}{3}

m=\frac{-7.2}{3}

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y=mx+b, where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting m=-2.4 and coordinates of point (6,-20.4), we will get:

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Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is -6 meters.

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