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Fynjy0 [20]
2 years ago
11

I need help ASAP middle school work.

Mathematics
1 answer:
Arturiano [62]2 years ago
5 0

Answer:

B

Step-by-step explanation:

For 11  1/2 gallons, he paid $36.80.

We need to find the cost per gallon.

First, converting 11  1/2 gallons to decimal, it is:

1/2 = 0.5

So, 11  1/2  is  11.5 gallons

So, Cost Per Gallon (last week) = \frac{36.80}{11.5}=3.2

There is 5% increase on this $3.20 per gallon. We find 5% of 3.2 and add it to 3.2 to find this week's cost per gallon.

<em>5% = 5/100 = 0.05</em>

<em>0.05 * 3.20 = 0.16</em>

<em>So,</em>

<em>3.20 + 0.16  = $3.36 per gallon</em>

<em />

Cost Per Gallon (this week) = $3.36

To buy 9  1/4 gallons it would take:

3.36*9.25=31.08

<u>Note:</u>  1/4 = 0.25, so 9  1/4 = 9.25

It would cost $31.08  to buy  9.25 gallons this week

Correct answer is B

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There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

\sqrt{864} = \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3}

Take any number that is repeated twice in the square root, and move it outside of the root:

\sqrt{864} = \sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3}

\sqrt{2 \cdot 2} = \sqrt{4} = 2

\sqrt{3 \cdot 3} = \sqrt{9} = 3

\sqrt{(2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3} = \sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3}

\sqrt{(4) \cdot (4) \cdot 2 \cdot (9) \cdot 3} = (2 \cdot 2 \cdot 3) \sqrt{2 \cdot 3} = \boxed{12 \sqrt{6}}

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

6 0
3 years ago
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„„„„„„„„»»»»»»»»»»

I hope it helps you

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[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:

[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19

if we subtract [a] from [c] we get:
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if we subtract [c]*2 from [b] we get:
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Now we can subtract [e] from [d] to solve for t:
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Now put in 3 for t in [d] or [e] to solve for c:
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