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Sliva [168]
3 years ago
7

Find the indicated quotient to the nearest tenth. 7.2/ 5.6

Mathematics
1 answer:
Talja [164]3 years ago
7 0

Answer:

1.3

Step-by-step explanation:

Given number = 7.2

Divisor = 5.6

\[\frac{7.2}{5.6} = \frac{7.2*10}{5.6*10}\]

\[= \frac{72}{56}\]

Simplifying,

\[= \frac{72\div 4}{56\div 4}\]

\[= \frac{18}{14}\]

\[= \frac{18\div 2}{14\div 2}\]

\[= \frac{9}{7}\]

\[= 1.285\]

\[= 1.3\]  (to the nearest tenth)

Validating by multiplying the quotient and divisor,

\[1.3 * 5.6\]

\[= 7.28\]

This is approximately equal to the dividend subject to rounding error.

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A geologist studying the depths of water in a mountain lake finds that it has changed from 8,300 ft to 8,881 ft over a period of
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Answer:

7.0%

Step-by-step explanation:

Here, we want to get the value of the percentage increase

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5 0
3 years ago
5
AveGali [126]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As Time = \frac{Distance }{Speed}

⇒ Time traveled by walking = \frac{1}{x}

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = \frac{1}{2x}

Now,

Given that - he cycles one and a half times as  fast as he runs.

⇒Speed of cycling =  \frac{3}{2} (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = \frac{1}{3x}

Now,

Total time traveled = Time traveled by walking + running + cycling

                                = \frac{1}{x} +  \frac{1}{2x} + \frac{1}{3x}

                                = \frac{6+3+2}{6x} = \frac{11}{6x}

If he cycled the three mile , then total time taken = \frac{1}{3x} + \frac{1}{3x} + \frac{1}{3x} = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = \frac{11}{6} x

⇒x - \frac{11}{6} x = -10

⇒-\frac{5}{6}x = -10

⇒x = \frac{60}{5} = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = \frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22 min

7 0
3 years ago
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