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ValentinkaMS [17]
2 years ago
5

The total cost of 7 shirts and 5 pairs of pants is $517. The total cost of a shirt and a pair of pants is $89. How much does a p

air of pants cost?​
Mathematics
1 answer:
pickupchik [31]2 years ago
7 0

Answer:

pair of pants = $53

Step-by-step explanation:

s = shirts

p = pair of pants

eq = equation

eq 1:          7s + 5p = 517

eq 2:           s + p = 89

multiply the equation 2 by 7

eq 3:        7s + 7p = 623

negate equation 1 and add it to the eq 3

      7s + 7p = 623

+    -7s - 5p = -517

             2p = 106

               p = 53

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LenaWriter [7]

The simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

<h3>How to simplify the expression?</h3>

The expression is given as:

\sqrt{\frac{162x^9}{2x^{27}}}

Divide 162 and 2 by 2

\sqrt{\frac{81x^9}{x^{27}}}

Take the square root of 81

9\sqrt{\frac{x^9}{x^{27}}}

Apply the quotient rule of indices

9\sqrt{\frac{1}{x^{27-9}}}

Evaluate the difference

9\sqrt{\frac{1}{x^{18}}}

Take the square root of x^18

\frac{9}{x^9}

Hence, the simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

Read more about expressions at:

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1 year ago
Given a point on a line and the equation of a parallel or perpendicular line, write the equation of the line in point-slope form
Arlecino [84]

Answer: y - 5 = 0(x - 1)

==================================================

Explanation:

Recall that point slope form in general is written as such

y - y1 = m(x - x1)

where,

m is the slope

(x1,y1) is the point the line goes through

The given equation y = 7 can be written as y = 0x+7. So we see that this line has a slope of m = 0

Plug m = 0 along with the given point (x1,y1) = (1,5) into the point slope equation and we get

y - y1 = m(x - x1)

y - 5 = 0(x - 1)

which is the final answer

note: the equation in bold can be rearranged and simplified to get y = 5; however your teacher seems to want the answer in point-slope form, so we leave it as such.

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3 years ago
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Llana [10]

Hey!

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Steps To Solve:

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~Solve for exponent

50 - 25 ÷ 5

~Divide

50 - 5

~Subtract

45

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Answer: \Large\boxed{\mathsf{45}}

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Hope This Helped! Good Luck!

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lisabon 2012 [21]

Answer:

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Step-by-step explanation:

We are given the dimensions of a rectangular prism;

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We are required to determine its surface area;

We need to know that;

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Assuming;

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Always will be your answer ;D
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