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Vesnalui [34]
3 years ago
6

Find the distance between each pair of parallel liney=x-6 and y=x+8

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0
Both these lines are linear and have the same slope, just different y-intercepts. This means one line is shifted higher than the other. y=x+8 is 14 units higher than y=x-6. The answer to you question therefore is 14 units!
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A classroom has 2 bookcases that weigh 117 pounds altogether. If they all weigh the same amount, how much does each bookcase wei
Lapatulllka [165]

Answer:

58.5 pounds each.

Step-by-step explanation:

If two bookcases weigh 117 pounds and each weighs the same amount, each bookcase must weigh half of the total weight. 117/2 equals 58.5.

6 0
3 years ago
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If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that
lions [1.4K]

Answer:

b) 25/100 x 79

= 19.75

= 79 - 19.75

= $59.25 (before tax)

7/100 x 59.25

= 414.75/100

= 4.15

= 59.25 + 4.15

= $63.4 (after adding tax)

First we have to take out the percentage of discount and minus it from the total cost . To find the discounted price with tax, we have to take out the percentage of the tax from the discounted amount and add it to the discounted amount to get the total cost.

Step-by-step explanation:

7 0
3 years ago
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What is 159as a percent
11Alexandr11 [23.1K]

Answer:

159 as a percent = 15900%

Brainiest if helpful!

Step-by-step explanation:

To convert 159 to percent multiply 159 by 100. The result is 15900 percent, or, using the percent sign, 15900 %. Put simply, to change 159 to % move the ″.″ two places to the right.

5 0
3 years ago
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The sum of the angle measures of a triangle is 180°. Find the measure of each angle
Mice21 [21]

Answer:

16 and 82 degrees

Step-by-step explanation:

You can sum all of the angles together and solve for x.

(x - 1) + (5x - 3) + (5x - 3) = 180

11x - 7 = 180

11x = 187

x = 17

The first angle is 16 degrees. (17 - 1)

The other two angles are 82 degrees(5(17) - 3)

8 0
3 years ago
According to the National Center for Health​ Statistics, in​ 1990, 28% of babies in the United States were born to parents who w
svlad2 [7]

Answer:

The year is  b =  1995

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       d =  a - k

=>    d =  31 - 28

=>   d =  3\%

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       n = \frac{3\%}{0.6\%}

=>     n = 5\ years

Generally the year which the considered percentage will be attained is  

    b =  1990 + n

=> b =  1990 + 5

=> b =  1995

6 0
3 years ago
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