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3 years ago

Determine the solution to the equation given 4(m-2)=18

Mathematics

1 answer:

Maksim231197 [3]3 years ago

7 0

Answer:

m=13/2 hope this helped:)

Step-by-step explanation:

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Over [174]

Answer:

y = ⅔x - 5

Step-by-step explanation:

The line that passes through (-3, -7) will have the same slope (m) as the line, 2x - 3y = 24. This is because if two lines that are parallel to each other would have the same slope.

Rewrite 2x - 3y = 24, in the slope-intercept form, y = mx + b.

Thus:

2x - 3y = 24, rewritten would give us y = ⅔x - 8.

The slope of the line, 2x - 3y = 24, is ⅔.

Thus, the slope of the line that is parallel to 2x - 3y = 24, is also ⅔.

To find the equation, substitute a = -3, b = -7, and m = ⅔ into y - b = m(x - a).

Thus:

y + 7 = ⅔(x + 3)

Rewrite to make the equation in slope-intercept form.

Thus:

y + 7 = ⅔(x + 3)

3(y + 7) = 2(x + 3) ---› multiplication property of equality

3y + 21 = 2x + 6 ----› distributive property

3y = 2x + 6 - 21 ----› subtraction property of equality

3y = 2x - 15

y = ⅔x - 5 (division property of equality)

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2 years ago

Dalia saved $3000 last year. She said $600 in the month of January. What percent of the total amount of money she saved last yea

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1. We assume, that the number 3000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for. 
3. If 100% equals 3000, so we can write it down as 100%=3000. 
4. We know, that x% equals 600 of the output value, so we can write it down as x%=600. 
5. Now we have two simple equations:
1) 100%=3000
2) x%=600
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3000/600
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 600 is what percent of 3000

100%/x%=3000/600
(100/x)*x=(3000/600)*x - we multiply both sides of the equation by x
100=5*x - we divide both sides of the equation by (5) to get x
100/5=x 
20=x 
x=20
So 600 is 20% of 3000

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