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3 years ago

Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.

Mathematics

1 answer:

lapo4ka [179]3 years ago

4 0

Answer:

The answer to your question is: x = 5 units

Step-by-step explanation:

Data

AB = x - 2

BC = 2x + 6

AC = 19

x = ?

Process

AB + BC = AC

Solve for x, x - 2 + 2x + 6 = 19

3x + 4 = 19

3x = 19 - 4

3x = 15

x = 15 / 3

x = 5 units

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The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about 14.29%. What is the

Yuki888 [10]

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

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

Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

---------------------

Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

----------------------

Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.

4 0

2 years ago

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julsineya [31]

Answer:

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2 years ago

You saved $35 to buy two books. The first book cost an unknown amount and the second book cost $24. If you don't have any money

vovangra [49]

Answer:

$11 Dollar

Step-by-step explanation:

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2 years ago

[HELP ASAP]~ A city has a population of 240000 people. Suppose that each year the population grows by 4%. What will the populati

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Answer:

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Step-by-step explanation:

I rounded the totals.

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3 years ago

bookstore ordered 1,528 packs of pens and 1,823 packs of pencils at the prices shown. how much did the bookstore spend on pens?

IgorC [24]

I found that the given prices are $ 4 per pack of pens and $ 3 per pack of penciles.

The question is how much the bookstore spent on pens.

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