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andrew-mc [135]
3 years ago
5

Chef Selena is making her special dish that requires pasta, sauce, and onions.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Answer:

A and D. She can make 32 servings in total.

Step-by-step explanation:

This is because if she were to mix up all of the products, she would have 16 pounds of mix in total.

5 1/8 + 4 7/8 + 6 = 16

This is choice A.

Then she must divide this by 1/2 because each serving is 1/2 pound.

16 ÷ 1/2 = 32

That is choice D.

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Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
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y-y₀=m(x-x₀)
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if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
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