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Yuki888 [10]
3 years ago
5

keisha drove 380 miles using 14 gallond of gas. At this rate, how many gallons of gas would she need to drive 418 miles?

Mathematics
1 answer:
pychu [463]3 years ago
8 0
14gallons=380miles

14/380=<span>0.03684210526gallons/mile
</span>
418*<span>0.03684210526=15.4gallons
</span>
or you could cross multiply

14gallons=380miles
x gallons=418miles

\frac{14}{380} = \frac{x}{418}

380x=5852
divide both sides by 380
x=15.4 gallons

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What is the value of the x variable in the solution to the following system of equations?
defon

ANSWER

The correct answer is C x=3.



<u>EXPLANATION</u>


We have

4x+2y=12---(1)


and


x-y=3---(2).


We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for x.



We first multiply equation (2) by 2

2x-2y=6---(3).


We add equation (3) and (1).


\Rightarrow 6x=18.

Dividing through by 6 gives

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7 0
3 years ago
In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did
Gre4nikov [31]

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

<u>This means:</u>

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

<u>Let </u>

Hours slept = 1x and hours awake = 3x

<u>Hence,</u>

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

<u>So,</u>

Hours slept = 1(6) = 6 hours

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\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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2 years ago
Explain why rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is nega
Mice21 [21]
<span><u><em>The correct answer is: </em></u>
we cannot take an even root of a negative number in the real number system.

<u><em>Explanation</em></u><span><u><em>: </em></u>
A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.
If the base is negative, this means we want an even root of a negative number.
Any even root can be broken down into a series of square roots, done one after another.
However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.</span></span>
5 0
3 years ago
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Step-by-step explanation:

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3 years ago
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