Knowing that x varies directly with y, we know the basic skeleton of the equation is y = mx.

To find m, plug in the known coordinate (8,10), where the x-coordinate is 8 and the y-coordinate is 10.
$y=mx \\ 10=m8 \\ (10)/8=(8m)/8 \\ m= \frac{10}{8} = \frac{5}{4}$

Then, plug in m to the equation to get y = (5/4)x.

Finally, plug in the y-coordinate 18 to the equation and solve for x!
$y= \frac{5}{4}x \\ 18= \frac{5}{4}x \\ \frac{4}{5}(18)=( \frac{5}{4}x) \frac{4}{5} \\ x= \frac{4*18}{5} \\ x= \frac{72}{5}$

Your exact answer is x = 72/5. However, if your teacher prefers decimals, then x = 14.4

Hope this helps!

5 0

2 years ago

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Add the numerator and denominator seperatly, then find the quotient <br> -3( - 8) / 5 + 7

Aleonysh [2.5K]

Numerator = -3( - 8) = - 3 - 8 = -11

Denominator = 5 + 7 = 12

So the quotient = -11/12

Answer

- 11/12

4 0

2 years ago