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beks73 [17]
3 years ago
10

Part A: Solve –vp + 40 < 95 for v. Show your work. (4 points) Part B: Solve 8w – 3r = 45 for r. Show your work. (6 points)

Mathematics
2 answers:
N76 [4]3 years ago
6 0

Part A:  

-vp + 40 < 95

       -40    -40

        -vp < 55

      -vp/p < 55/p

         -v < 55/p

         -v > 55/p

Ierofanga [76]3 years ago
3 0
Subtract 40 from both sides
-vp+40-40<95-40

Simplify
-vp<55
Multiply both sides by -1 (reverse the inequality)

(-vp) (-1) > 55 (-1) 

Simplify
vp> -55 

Divide both sides by v

vp ÷ v > -55 <span>÷ v 
</span>
Simplify
p> -55 <span>÷ v </span>

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5 0
3 years ago
What are the solutions to the quadratic equation (5y + 6)2 = 24?
Ivenika [448]

Answer:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

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7 0
4 years ago
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Which of the following equations is equivalent to x - y = 5?
Masja [62]

Answer:

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Step-by-step explanation:

<u><em>The complete options are</em></u>

a) x - 2y = 30

b) 4x - 3y = 30

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x-y=5

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we have

6x-6y=30

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3 0
3 years ago
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\sin(x)  =  \frac{opposite \: side}{hypotenuse}


When we fill in the formula, we get the following
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8 0
4 years ago
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neonofarm [45]
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