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2 years ago

I need help with this problem, please help!!!

Mathematics

1 answer:

OverLord2011 [107]2 years ago

3 0

Answer:

Yes. (See below for explanation.)

Step-by-step explanation:

The number of servings is found by dividing the quantity available by the size of a serving. The quantity of punch is the sum of the quantities of the juices that go into the punch. The serving size of 3/4 cup is the same as 6 ounces, since a cup is 8 ounces. (3/4 × 8 oz = 6 oz)

The quantity available is (64 oz + 28 oz + 76 oz). The serving size is 6 oz. Since the units of numerator and denominator are the same, they cancel, leaving ...

... number of servings = (quantity available)/(serving size)

... = (64 +28 +76)/6 . . . . as shown in the problem statement

_____

It might not be obvious that the above ratio gives the number of servings. However, if you look at the real units, you see how it happens.

$\dfrac{oz}{(\frac{oz}{serving})}= oz\dfrac{serving}{oz}=\dfrac{oz}{oz}serving=serving$

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2 years ago

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2 years ago

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Brilliant_brown [7]

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$V=\dfrac{1}{3}Bh=\dfrac{1}{3}\pi r^2h$

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2 years ago

Solve 14x + 1 = 36.<br> Round to the nearest ten-thousandth.

Aneli [31]

Answer:

x≈ 3.2056

Step-by-step explanation:

Set both sides by log. Then, solve for x.

1. 14^(x + 1) = 36

(x + 1)log(14) = log(36)

x + 1 = log(36)/log(14) . . . Divide both sides by log(14)

x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.

x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.

Note that the second problem is similar to the first.

2. 12^(y - 2) = 20

(y - 2)log(12) = log(20)

y - 2 = log(20)/log(12)

y = log(20)/log(12) + 2

y ≈ 3.2056

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2 years ago

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