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Margaret [11]
2 years ago
5

A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Ans

wer parts a and b.
a. To what percent of its capacity is the large container filed?
The container is filled to % of the maximum capacity.
Mathematics
1 answer:
son4ous [18]2 years ago
3 0

Answer:

The container is filled to 87.5% of the maximum capacity.

Step-by-step explanation:

Given

Maximum capacity of container = m = 64 ounces

Filled capacity=> as it is 8 less than maximum capacity = 64-8 = 56 ounces

The container is 56 ounces full.

To find the percentage:

percentage = \frac{56}{64}*100\\= 0.875*100\\=87.5\%

Hence,

The container is filled to 87.5% of the maximum capacity.

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Answer:

<h2><u>question 1</u></h2>

n^{2} - 20n -96 = 0

use product and sum method

product = -96

sum = -20

numbers needed = ( -24 , 4)

n - 24 = 0

n + 4 = 0

hence <u>n = 24 and n = -4 </u>

<u></u>

<h2><u>Question 2 </u></h2>

<u />x^{2} + 12 x = 48<u />

in the form ax^{2}  +bx +c = 0

= x^{2} +12x - 48

make use of the formula :

\frac{-b+-\sqrt{b^{2} -4ac} }{2a}

replace values to make 2 equations :

1.\frac{-12+\sqrt{12^{2} -4*1*-48} }{2*1} = 3.17

2.\frac{-12-\sqrt{12^{2} -4*1*-48} }{2*1} = -15.2

hence <u>x = 3.17 and x = -15.2</u>

<u />

<h2><u>Question 3 </u></h2>

<u />x^{2} -14x+40=0<u />

use product and sum method

product = 40

sum = -14

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<u />

<h2><u>Question 4 </u></h2>

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in the form ax^{2}  +bx +c = 0

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= 5b^{2} -20b-25

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use product and sum method

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b + 1 = 0

hence <u>b = 5 and b = -1</u>

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