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Anna [14]
3 years ago
5

When a number is increased by 2.8%, the result is 56. What is the original number to

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

56 \div 1.028 = 54.47

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

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Explanation:

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dmitriy555 [2]
Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
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Now just solve for x as u normally would
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(Divide both sides by 4 to isolate x)
x = 12

I hope this somewhat helped :)
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