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Tema [17]
3 years ago
12

4.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0
<h3>Answer:  6 ounces</h3>

========================================================

Work Shown:

(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)

6/4 = 8/x

6*x = 4*8

6x = 32

x = 32/6

x = 5.333 approximately

x = 6 we round up despite 5.333 being closer to 5, than it is to 6.

If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.

The section below goes over why this is the case in more detail.

---------

6 servings : 4 ounces

6/4 servings : 4/4 ounces

1.5 servings : 1 ounce

So one ounce of sauce gets us 1.5 servings.

If we multiply both sides by 5, then,

1.5 servings : 1 ounce

5*1.5 servings : 5*1 ounce

7.5 servings : 5 ounces

This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.

If we multiplied both sides by 6, then

1.5 servings : 1 ounce

6*1.5 servings : 6*1 ounce

9 servings : 6 ounces

This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.

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Answer:

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Step-by-step explanation:

In the question we are given with a point (6,-3) and a line y=-2x-5. we have to find the line passing through given point and parallel to given line.\

formula used: equation of a line passing through a point(a,b) with slope m is given by (y-b) = m(x-a).

here we have (a,b)=(6,-3) and the slope of the line is slope of y=-2x-5

i.e, -2( coefficient of x).

therefore,  substituting point and slope in formula we get y+3 = -2(x-6)

which simplifies to y+3= -2x+12\\ y+2x=9 is asked line equation

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