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KATRIN_1 [288]
3 years ago
14

Larry rides his bike at a rate of 8.8 inches per second. About how m any miles per hour can Larry ride his bike?

Mathematics
1 answer:
sveta [45]3 years ago
5 0

Larry rides his bike 0.5 miles per hour

<em><u>Solution:</u></em>

Given that Larry rides his bike at a rate of 8.8 inches per second

To find: Speed in miles per hour

So we have to convert 8.8 inches per second to miles per hour

<em><u>Use the conversion factor</u></em>

1 \text{ inch } = \frac{1}{63360} \text{ mile }

1 \text{ second } = \frac{1}{3600} \text{ hours }

<em><u>Convert 8.8 inches per second to miles per hour</u></em>

8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times \frac{1}{63360} \times 3600 \times \frac{\text{miles}}{\text{hour}}

8.8 \frac{\text{inches}}{\text{second}} = 8.8 \times 0.00001578282 \times 3600 \times \frac{\text{miles}}{\text{hour}}\\\\8.8 \frac{\text{inches}}{\text{second}} = 0.5 \frac{miles}{hour}

Thus Larry rides his bike 0.5 miles per hour

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Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.

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n(A\cup B\cup C)=n(A)+n(B)+n(C)-n(A\cap B)-n(B\cap C)-n(A\cap C)+n(A\cap B\cap C)\\\\\Rightarrow n(A\cap B\cap C)=33+32+40-9-12-20+4\\\\\Rightarrow n(A\cap B\cap C)=68.

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.

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