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MatroZZZ [7]
3 years ago
8

How to solve 8=3/4w on math

Mathematics
2 answers:
NeTakaya3 years ago
6 0
When you have to divide by a fraction, you have to multiply the other number by the fraction's reciprocal.

8 = 3/4 w    Divide by 3/4

w = 8/(3/4)

w = 8/ (3/4)  =  8 x 4/3   Multiply by the numerator and divide by the                                                   denominator.

w = (8 x 4) / 3

w = 32 / 3

w = 10 2/3
Over [174]3 years ago
3 0
You want to isolate the variable w so you want it by itself. To do so with a fraction multiply both sides by the fraction's denominator...
8(4)=3w
32=3w
Now you want to divide both sides by 3 
32/3=w
10.67=w
This should be your answer :)
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Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
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Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

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*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

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                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



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