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Alex17521 [72]
3 years ago
5

Solve for x. x - 2(2 - 3/2 x) = 2(4 - x) + 1

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

x = 13/6

Step-by-step explanation:

We are the following expression;

       x - 2(2 - (3/2)*x) = 2(4 - x) + 1

       x - (4 - 3*x) = 8 - 2*x + 1

       x - 4 + 3*x = 8 - 2*x + 1

         4*x + 2*x = 9 + 4

             6*x = 13

              x = 13/6

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A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they double the
valina [46]

Answer:

Boxes sold first week = 104

Boxes sold second week =x+5= 104+5=109

Boxes sold third  week = 109 times 2= 218

Step-by-step explanation:

Let x be the number of boxes sold in first week

the girls sold 5 more boxes the second week

So number of boxes sold in second week is x+5

they double the sales of the second week for the third week

So number of boxes sold in third week is 2 (x+5)

Total boxes sold is 431

x+x+5+2(x+5)=431

x+x+5+2x+10=431

4x+15=431

subtract 15 from both sides

4x=416

divide by 4 on both sides

x=104

Boxes sold first week = 104

Boxes sold second week =x+5= 104+5=109

Boxes sold third  week = 104 times 2= 218

4 0
3 years ago
Triangle ABC was dilated by 50%. What is the relationship between AC and A'C'?
Elina [12.6K]

Answer:      

The length of segment AC is two times the length of segment A'C'

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

A'C' ----> the length of segment A'C'

AC ----> the length of segment AC

so

z=\frac{A'C'}{AC}                        

we have that

z=50\%=50/100=\frac{1}{2} ---> the dilation is a reduction, because the scale factor is less than 1 and greater than zero

substitute

\frac{1}{2}=\frac{A'C'}{AC}                

AC=2A'C'

therefore

The length of segment AC is two times the length of segment A'C'

5 0
2 years ago
Read 2 more answers
Hi!! Can you pls help thanks:)
Pani-rosa [81]
1. Y=X-4
2. Y=X*4
3. Y=X+3
4. Y=X/6
8 0
2 years ago
(DESPERATE PLEASE HURRY)<br> question down below<br> please show the work
zubka84 [21]

Answer:

v= -12

Step-by-step explanation:

v= -12

v = -29+17

v= -12

3 0
2 years ago
Read 2 more answers
What is the rate of A, what is the rate of B, which equation has a greater rate?
11Alexandr11 [23.1K]

Answer: Rate of A: 5/6

Rate of B: 3/5

A has a higher rate of change

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5 0
3 years ago
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