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slamgirl [31]
3 years ago
12

Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.

Mathematics
2 answers:
mojhsa [17]3 years ago
5 0

Answer:

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

olga_2 [115]3 years ago
4 0

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

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Which of the following equations represents the graph shown?
melomori [17]

Answer: Last option.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Where m is the slope and b the intersection with the y-axis.

You can observe in the graph that the line passes through the origin, then:

b=0

Choose two points of the line and calculate the slope with:

m=\frac{y_2-y_1}{x_2-x_1}

Points: (2,3) and (-2,-3)

Substitute values, then the slope is:

m=\frac{-3-3}{-2-2}=\frac{-6}{-4}=\frac{3}{2}

 Substituting "m" and "b" into  y=mx+b, you get that the equation is:

y=\frac{3}{2}x

This can be written as:

f(x)=\frac{3}{2}x

6 0
4 years ago
Read 2 more answers
Hannah has $300 to spend on vacation.she is going to be gone for 3 days.what is the most she can spend each day while on vacatio
Serggg [28]
Hannah can spend: 100$ each day

Hope this help! :D lol my name is Hannah
6 0
3 years ago
After a storm damage is the community center sent Kiya and her friends hold fundraising events to help pay for repairs after the
andrew-mc [135]

Answer: the total amount of money that they wanted to raise is $2400

Step-by-step explanation:

Let x represent the total amount of money that Keelan and her friends want to raise.

After the first event they raise $240 which is 10% of the total amount they want to raise. The amount of money that raised after the first event is expressed as

10/100 × x = 0.1 × x = 0.1x

Therefore,

0.1x = 240

Dividing both sides of the equation by 0.1, it becomes

x = 240/0.1

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7 0
3 years ago
Physics or Chemistry. In a group of 50 students, 7 take all three
astraxan [27]

Answer:

Step-by-step explanation:

There are 50 students in a group.

Using Venn diagram, we have 50=x+8+7+5+x+9+(x+3)50=x+8+7+5+x+9+(x+3) .

50=3x+3250=3x+32

3x=183x=18

x=6x=6

The number of students that take Maths is x+8+7+5=26x+8+7+5=26 .

Answer: x=6x=6 ; 2626 students take Maths.

8 0
3 years ago
Find the exact circumference, in terms of , of a circle with the given radius.
Grace [21]
By definition, when we say circumference, this is the measure or the distance around the circle. To find the circumference of a circle we use this formula. C = π x the diameter of the circle or C = 2πr . 
Given that the radius is x/2 miles, let us plug in the values.
So C = 2(3.14)(x/2)
C = 6.28 (x/2)
C= 6.28x/2
C = 3.14x
So the circumference of the given circle above would be 3.14x miles. Hope this answer helps.
8 0
3 years ago
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