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3 years ago

2x to the power of 3 divided by x to the power of 5

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

Answer:

$\frac{2^{2} }{1}$

Step-by-step explanation:

$\frac{2x^{3} }{x^{5} }$

2/1 = 2 and 3-5 = -2, so

$2^{-2}$

You cannot have a negative exponent, so you must put it over one.

$\frac{2^{2} }{1}$

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Your mom's new car gets 32 miles per gallon and gasoline costs $1.99 per gallon. You are going to see Uncle buck for Christmas,

Mashcka [7]

The gas cost will be $19.53 for this trip.

Step-by-step explanation:

Given,

Distance covered by car per gallon = 32 miles

Cost of one gallon = $1.99

Unit rate in terms of miles;

32 miles = $1.99

1 mile = $\frac{1.99}{32}\ Dollars$

Therefore,

314 miles = Unit rate of mile * 314 miles

314 miles = $\frac{1.99}{32}*314$

$314\ miles = \frac{624.86}{32}\\\\314\ miles=\$19.526$

Rounding off to nearest hundredth;

314 miles = $19.53

The gas cost will be $19.53 for this trip.

Keywords: unit rate, multiplication

Learn more about unit rate at:

#LearnwithBrainly

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3 years ago

9(42) - 9(4) = 9(30) + 9 (___)

OverLord2011 [107]

Answer:

Step-by-step explanation:

378-36-270=9x

72=9x

72÷9=9x÷9

8=x

X=8

5 0

2 years ago

HELPP!!!!!!!!!!!!!!!!

Anvisha [2.4K]

Answer:

Step-by-step explanation:

We'll take this step by step. The equation is

$8-3\sqrt[5]{x^3}=-7$

Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time. First thing is to subtract 8 from both sides:

$-3\sqrt[5]{x^3}=-15$

The goal is to isolate the term with the x in it, so that means that the -3 has to go. Divide it away on both sides:

$\sqrt[5]{x^3}=5$

Let's rewrite that radical into exponential form:

$x^{\frac{3}{5}}=5$

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

$(x^{\frac{3}{5}})^{\frac{5}{3}}=5^{\frac{5}{3}}$

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely. On the right, let's rewrite that back in radical form to solve it easier:

$x=\sqrt[3]{5^5}$

Let's group that radicad into groups of 3's now to make the simplifying easier:

$x=\sqrt[3]{5^3*5^2}$ because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:

$x=5\sqrt[3]{5^2}$ which is the same as:

$x=5\sqrt[3]{25}$

8 0

2 years ago

Simplify the expression.<br><br> Thanks yall, I'll give brainliest to the right answer

Alik [6]

Answer:

ok.

Step-by-step explanation:

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2 years ago

(Plz help! I'll mark brainliest) <br> Q) Which statements are true about the graphed function?

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the amplitude of the function is 2.5

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2 years ago