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castortr0y [4]
3 years ago
6

65 is 20% of what number

Mathematics
1 answer:
Verizon [17]3 years ago
6 0


(60 / - 20 ) x 100% = 300%
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Solve |p + 2| = 10Solve |p + 2| = 10<br><br> {-12}<br> {-8, 8}<br> {-12, 8}
valentinak56 [21]

By definition, we have

|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that p+2\geq 0 \iff p \geq -2

In this case, the absolute value doesn't do anything: the equation is

p+2 = 10 \iff p = 10-2 = 8

We are supposing p \geq -2, so we can accept this solution.

Now, suppose that p+2 < 0 \iff p < -2. Now the sign of the expression is flipped by the absolute value, and the equation becomes

-p-2 = 10 \iff -p = 12 \iff p = -12

Again, the solution is coherent with the assumption, so we can accept this value as well.

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3 years ago
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Paladinen [302]

Answer:

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Step-by-step explanation:

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3 years ago
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Just in case my car goes off the highway
UkoKoshka [18]

Answer:

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A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
Art [367]

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

L = 3x + 7

W = 2x

The perimeter of the rectangle is given by:

P = 2W + 2L

94 = 2(2x + 3x + 7)

94 = 10x + 14

x = 8

Now, we can calculate the length of the rectangle:

L = 3x + 7 = 3*8 + 7 = 31        

         

Therefore, the length of the rectangle is 31 units.

I hope it helps you!                

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Leto [7]

Answer:

45

Step-by-step explanation:

73+62=135

180-135=45

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