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Paul [167]
3 years ago
10

When a number is increased by 2.5%, the result is 51. What is the original number to the nearest tenth?

Mathematics
1 answer:
labwork [276]3 years ago
7 0

Answer:

49.8

Step-by-step explanation:

Number - x

2.5% of the number is 0.025x.

New number is  x+0.025x = 1.025x.

New number is 51.

1.025x = 51

x = 51/1.025≈ 49.8

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Read 2 more answers
Question 8 (2 points)
SashulF [63]

Answer:

\mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

Step-by-step explanation:

We need to determine if x=\frac{1}{2} is the solution to the equation: 4x+12-8x=-1+2x+10

Solving the equation first to find value of x

4x+12-8x=-1+2x+10

Combining like terms:

4x-8x+12=2x+10-1\\-4x+12=2x+9

Subtracting 2x on both sides

-4x+12-2x=2x+9-2x\\-4x-2x+12=9\\-6x+12=9

Now, subtracting 12 on both sides

-6x+12-12=9-12\\-6x=-3\\

Divide both sides by -6

\frac{-6x}{-6}=\frac{-3}{-6}\\x=\frac{1}{2}

So, we get  \mathbf{x=\frac{1}{2}}

Therefore we can say that \mathbf{x=\frac{1}{2}} is the solution to the equation: 4x+12-8x=-1+2x+10

The statement is true.

Option A is correct.

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3 years ago
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Nadusha1986 [10]
You could use a calculator. Other than that, I've never heard of an easier way to do long division. 
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