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3 years ago

Solve for V . -2(v+1)=3v-17 Simplify your answer as much as possible.

Mathematics

1 answer:

Anna11 [10]3 years ago

7 0

Answer:

v = 3

Step-by-step explanation:

You can start by distributing -2:

-2v - 2 = 3v -17

Next, add 2v to both sides to combine the v terms:

-2v - 2 = 3v - 17

+2v +2v

-2 = 5v - 17

To isolate the v term, we add 17 to both sides:

-2 = 5v - 17

+17 +17

15 = 5v

Lastly, divide by 5 to get v:

15 = 5v

÷ 5 ÷5

3 = v --> v = 3

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2 years ago

Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-

levacccp [35]

Given:

The equation of parallel line is:

$3x-2y=5$

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).

To find:

The equation of required line.

Solution:

Midpoint of line segment joining the points (-4,2) and (2,4) is:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)$

$Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)$

$Midpoint=\left(-1,3\right)$

It means the required line passes through the point (-1,3).

The slope of line $Ax+By=C$ is:

$m=\dfrac{-A}{B}$

The given equation is:

$3x-2y=5$

Here, A=3 and B=-2. So, the slope of the line is:

$m=\dfrac{-3}{-2}$

$m=1.5$

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

$y-y_1=m(x-x_1)$

$y-3=1.5(x-(-1))$

$y-3=1.5(x+1)$

$y-3=1.5x+1.5$

Adding 3 on both sides, we get

$y=1.5x+1.5+3$

$y=1.5x+4.5$

Therefore, the equation of the required line is $y=1.5x+4.5$ .

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3 years ago

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax how much did she pay

saul85 [17]

Answer:

Kerry should pay = 155520

Step-by-step explanation:

Total amount paid = 14,4000 + 8% of 14,4000

It is given that,

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax

8% of 14,4000 = (8*144000)/100 = 11520

<u>To find total amount paid</u>

Total amount paid = 14,4000 + 8% of 14,4000

= 14,4000 + 11520 =155520

Therefore Kerry should pay = 155520

4 0

4 years ago

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Marina CMI [18]

Answer:

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3 years ago

What is the value of the 8 in this number...1,284,590?

Ymorist [56]

Answer: 8 ten thousands

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4 years ago