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3 years ago

10

Mrs. Silverstein bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to serve each guest 1 quar

ter of a cake.
How many guests can she serve with all her cakes?

1 answer:

Veseljchak [2.6K]3 years ago

4 0

The anwser would be 12 cakes because you are going to multiply 3x4=12

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<h3><u>Solution:</u></h3>

Given that line that passes through the point (1, -3) and that is parallel to the line with the equation $\frac{3}{2}x - 2y = \frac{-17}{2}$

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<em><u>The slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

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So the slope of line parallel to line having above equation is also $m = \frac{3}{4}$

<em><u>Now let us find the equation of line having slope m = 3/4 and passes through point (1 , -3)</u></em>

Substitute $m = \frac{3}{4}$ and (x, y) = (1 , -3) in slope intercept form

y = mx + c

$-3 = \frac{3}{4}(1) + c\\\\c = -3 - \frac{3}{4}\\\\c = \frac{-15}{4}$

<em><u>Thus the required equation of line is:</u></em>

substitute $m = \frac{3}{4}$ and $c = \frac{-15}{4}$ in slope intercept form

$y = \frac{3}{4}x + \frac{-15}{4}\\\\y =\frac{3}{4}x - \frac{15}{4}$

Thus the equation of line is found out

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