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elena-s [515]
4 years ago
11

Solve the equation: 3(-x+4)=20x-7

Mathematics
1 answer:
lisov135 [29]4 years ago
3 0
1 Regroup terms
3(4−x)=20x−7

2 Expand
12−3x=20x−7

3 Add 3x to both sides
12=20x−7+3x

4 Simplify
20x−7+3x to 23x−7
12=23x−7

5 Add 7 to both sides
12+7=23x

6 Simplify 12+7 to 19
19=23x

7 Divide both sides by 23
19/23 =x

8 Switch sides
x= 19/23
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Step-by-step explanation:

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Draw a number line to show the product of 1/3 and 3/4
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The table lists how poverty level income cutoffs​ (in dollars) for a family of four have changed over time. Use the midpoint for
frez [133]

The poverty level cutoff in 1987 to the nearest dollar  was $10787.

<h3>How to find a midpoint?</h3>

The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: \mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right).

For solving this exercise, first you need plot the points in a chart. See the image.

Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).

\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\

\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)

\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)

The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar  was $10787.

Read more about the midpoint segment here:

brainly.com/question/11408596

7 0
2 years ago
What is the sum of complex numbers 2+3i and 4+8i, where i= square root -1
bearhunter [10]

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2+3i  +  4+8i

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3 0
4 years ago
Evaluate the diagram below. Find the measures of Angles A, B, C, and D.
laiz [17]

Answer:

A: 65° B: 65° C: 125° D: 125°

Step-by-step explanation:

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180-50 divided by 2 to give you A and B angles.

Then angled on a straight line add up to 180° so if you take angle A away from 180° you will get the answer to angle C.

The same for angle D.

5 0
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