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Bumek [7]
4 years ago
9

Solve the following equation, and check your solution. Be sure to show all work.

Mathematics
1 answer:
sweet-ann [11.9K]4 years ago
3 0

<u>1. </u>Subtract 24 from both sides

-3x = -27 - 24

Simplify -27 - 24 to -51

-3x = -51

Divide both sides by -3

x = -51/-3

Two negatives make a positive

x = 51/3

Simplify 51/3 to 17

<u>x = 17</u>

<u>2.</u> Regroup terms

n/5 - 17 = 33

Add 17 to both sides

n/5 = 33 + 17

Simplify 33 + 17 to 50

n/5 = 50

Multiply both sides by 5

n = 50 * 5

Simplify 50 * 5 to 250

<u>n = 250</u>

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ANSWER: $5.60 was the sales tax the customer paid.
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Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = \frac{4}{2} = 2 inches

Since, the area of a circle = \pi r^{2}

This implies that area of the two circles = 2\times \pi r^{2}

i.e. Area of the circles =  2\times \pi 2^{2}

i.e. Area of the circles =  8\pi

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = side^{2}

i.e. Area of the square = 10.5^{2}

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7 0
3 years ago
George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5
jeka94

Answer:

74 pages/hour

Step-by-step explanation:

The average rate of change is the difference in the numbers of pages  divided by the difference in the numbers of hours.

At the end of 3 hours, 90 pages were read.

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Difference in pages: 238 pages - 90 pages = 148 pages

The average rate of change is the difference in pages divided by the difference in hours.

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5 0
3 years ago
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