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Luke counted the gumballs in a machine and found that there were 1.37 times as many gumballs as he had estimated. What is this number as a percent?

Answer :

Final answer:

To convert 1.37 as a decimal to a percent, divide it by 100 and multiply by 100.


Explanation:

To find the number as a percent, we need to convert it to a decimal first. To do this, divide the number by 100. So, 1.37 as a decimal is 0.0137. Then, multiply by 100 to convert it to a percent. Therefore, 1.37 is 137% as a percent.


Learn more about converting decimal to percent

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Rewritten by : Barada

Luke's gumball count exceeded his estimate by 37%. To find this, calculate the percentage increase using the formula [tex]\((\frac{\text{Actual} - \text{Estimated}}{\text{Estimated}}) \times 100\)[/tex], yielding 37%.

To find the percentage increase, follow these steps:

1. Define the Variables: Let the original estimation be \(O\) and the actual count be \(A\).

2. Calculate the Ratio: Given that there were 1.37 times as many gumballs as estimated, the ratio is [tex]\( \frac{A}{O} = 1.37 \).[/tex]

3. Express as a Decimal: Subtract 1 from the ratio to find the increase as a decimal:[tex]\( \text{Decimal Increase} = 1.37 - 1 = 0.37 \).[/tex]

4. Convert to Percentage: Multiply the decimal increase by 100 to express it as a percentage: [tex]\( \text{Percentage Increase} = 0.37 \times 100 = 37\% \).[/tex]

Therefore, the number is 37% as a percentage increase. This means that the actual count exceeded Luke's initial estimation by 37%. In summary, Luke's estimate was 100%, and the actual count was 137%, resulting in a 37% increase over the estimate.