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adell [148]
3 years ago
10

On Monday Billy spent 4 1/4 hour study on Tuesday he spent another 3 5/9 hour study what is the combined time he spent studying

answer as a mixed number
Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer: the combined time he spent studying is 281/36 hours

Step-by-step explanation:

The first step is to convert all mixed numbers to improper fraction.

On Monday Billy spent 4 1/4 hour study. Converting 4 1/4 hours to improper fraction, it becomes 17/4 hours.

On Tuesday he spent another 3 5/9 hour study. Converting 3 5/9 hours to improper fraction, it becomes 32/9 hours.

The combined time he spent studying answer as a mixed number would be

17/4 + 32/9 = (153 + 128)/36

= 281/36 hours

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2 years ago
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Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 32. Is Theod
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*Correct Question:

Based on the similar triangles shown below, Theodore claims that ∆TUV is transformed to ∆WXY with a scale factor of 3/2. Is Theodore correct?

A. Yes, the triangles are similar with a scale factor of 3/2.

B. No, the triangles are similar with a scale factor of 2/1.

C. No, the triangles are similar with a scale factor of 2/3.

D. No, the triangles are similar with a scale factor of 4/3.

Answer:

C. No, the triangles are similar with a scale factor of 2/3.

Step-by-step explanation:

∆TUV is the original triangle. After transformation, the size reduced to give us ∆WXY. This means ∆TUV was reduced by a scale factor to give ∆WXY. The scale factor should be a fraction, suggesting, the original size of the ∆ was reduced upon transformation.

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This is: \frac{8}{12} = \frac{16}{24} = \frac{12}{18} = \frac{2}{3}

If you multiply the side length of ∆TUV by ⅔, you'd get side length of ∆WXY.

So, Theodore is wrong.

8 0
3 years ago
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