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9966 [12]
3 years ago
11

If 2a-b:2a+b=1:2, find the value of a:b.​

Mathematics
1 answer:
Kryger [21]3 years ago
7 0

Answer:

a:b = 3:2

Step-by-step explanation:

You are given:

 2a - b        1

----------- = ------

2a + b        2

Then, through cross-multiplication, we get:

4a - 2b = 2a + b, or

2a = 3b

We want the value of the ratio a:b.  To obtain this, divide both sides by b, which results in

  2a

------- = 3

    b

Finally, we divide both sides by 2, obtaining the desired ratio:

a:b = 3:2

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Solve the system of linear equations by substitution. x=17−4y y=x−2
erik [133]

Answer:

y = x - 2

x = 17 - 4y

x = 17 - 4(x -2)

x = 17 - 4x + 8

5x = 17 + 8

5x = 25

x = 5

y = 5 - 2

y = 3

(5, 3)

Step-by-step explanation:

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4 years ago
Profit is always calculated as revenue minus expenses. If a company's expenses were $10 million, write an equation that expresse
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Answer:

c. P=R-10; 35 million

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Which of the following points is a solution of y &gt; |x| + 5? <br> (0, 5)<br> (1, 7)<br> (7, 1)
solmaris [256]
<span> y > |x| + 5
when you graph that you get(picture below)
so one of the points would be (0,5)</span>

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3 years ago
Find an equation for the line below.<br><br><br> will give brainiest
pogonyaev

Answer: y=-\frac{x}{2}-6.5

Step-by-step explanation:

First find slope m. From observing the equation we can see that there are two points on the line. They are (-5,-4) and (-1,-6). Using the formula to find slope rise/run we get m = -0.5.

Now we use the point-slope formula to start the switch to the slope-intercept formula. Using (-1,-6) as our x and y values and switching m=-0.5 we get y + 6 = -0.5 ( x + 1). Simplify and we get y + 6 = -x/2 - -0.5. Subtract 6 from both sides and the final equation is y = -x/2 - 6.5.

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