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pochemuha
2 years ago
9

Express 80 as a product of its prime factors, write the prime numbers in accending order

Mathematics
1 answer:
Alex73 [517]2 years ago
4 0

Answer:

80 as a product of prime numbers can be expressed as 2×2×2×2×5

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A pilot flew a jet from City A to City B, a distance of 2300 mi. On the return trip, the average speed was 20% faster than the o
Ugo [173]

The speed from City A to City B is 506 miles per hour

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

A pilot flew a jet from City A to City B, a distance of 2300 miles

Distance for trip = 2300 miles

Distance for return trip = 2300 miles

The round-trip took 8 h 20 min

Total time taken for both trips = 8 hour 20 minutes

We know that,

1 hour = 60 minutes

20 \text{ minutes } = \frac{20}{60} \text{ hour } =\frac{1}{3} \text{ hour }

Thus, we get,

Total time taken for both trips = 8 + \frac{1}{3} = \frac{24+1}{3} = \frac{25}{3} \text{ hour }

On the return trip, the average speed was 20% faster than the outbound speed

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Then, x + 20 % of x is the average speed of return trip

x + 20\% x = x + 0.2x = 1.2x

Speed for return trip = 1.2x

<em><u>Time taken is given by formula:</u></em>

\text{total time } = \frac{distance}{\text{speed of outbound trip}} + \frac{distance}{\text{speed of return trip}}

\frac{25}{3} = \frac{2300}{x} + \frac{2300}{1.2x}\\\\\frac{25x}{3} = \frac{2300 \times 1.2 + 2300}{1.2}\\\\10x = 5060\\\\x = 506

Thus speed from City A to City B is 506 miles per hour

4 0
4 years ago
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