<h3>
Answer: 6 ounces</h3>
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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.
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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.
S=10(1/2)+ 1/2(-2)(0.5)^2
=5+ (-1)(0.25)
=5-0.25
=4.75
Hope this can help.
<span>arctan(2x) = -1 radian
</span>⇒ 2x = tan(-1)
⇒ 2x = -1.5574
⇒ x = -1.5574/2
⇒ x = - 0.7787<span>
</span>
55.5 (the outside angle is going to be half of the inside angle if it’s on the center point)