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Natasha2012 [34]
3 years ago
15

Zachary divides 6 cups of fruit juice equally among 8 friends. How much fruit juice does each friend get?

Mathematics
2 answers:
KIM [24]3 years ago
5 0
There are 6 cups which is split between 8 friends. 6 divided by 8 is 0.75 or 3/4
Each friend gets 3/4 of a cup of fruit juice.
Lorico [155]3 years ago
3 0
Each friend would get 0.75 fruit juice
6÷8=0.75 or 3/4.
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Help please, my brains is empty :o(
den301095 [7]

Answer:

I think 5 and 5 are equal so the angles are equal which are 70,70

Step-by-step explanation:

70+70+x=180

140+x=180

x=40

6 0
3 years ago
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
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sineoko [7]

Answer:

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Step-by-step explanation:

Step 1: Define

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Step 2: Find 1st derivative

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Step 3: Find 2nd derivative

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