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Ilya [14]
3 years ago
6

When a number is decreased by 45%, the result is 9. What is the original number to the nearest tenth?

Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer:

16.4

Step-by-step explanation:

To decrease a number by 45% of its value, you subtract the 45%. To get 45%, you multiply the number by 0.45.

So, if x is the original number, then the equation for this word problem would be x - 0.45x = 9.

To solve, we first subtract 0.45x from x, which is 0.55x. This means that 0.55x is equal to 9. To simplify, we can divide both sides by 0.55. 9/0.55 is 16.36363636..., etc. The nearest tenth would be 0.4, so your answer is 16.4

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Answer:

62.8yd

Step-by-step explanation:

formula for circumference of a circle = 2 π r

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working:

2 x π x 5 = 31.4yd

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If f(x) = 3x² tlo, what is f(-7)?
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A frequency table of grades has five classes (A, B, C, D,F) with frequencies of 4, 10, 17, 6, and respectively. Using percentage
fiasKO [112]

We have the frequencies for each of the grades. We can estimate the number of students graded by adding all those frequencies. Let's call N the total number of grades:

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We have then a total number of grades of 39.

The corresponding relative frequency for a grade is the ratio of the frequency to the total number of "samples", 39 in this case.

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This will be the fraction of the total grades that are A. Represented as a percentage will be 10.26%, rounded to two decimal places.

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RF_B=\frac{10}{39}\approx0.2564\approx25.64\text{ \%}

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RF_C=\frac{17}{39}\approx0.4359\approx43.59\text{ \%}

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