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3 years ago

Jerry is a judge. He hears 5 cases in 2 3/8 hours. How many cases does he hear per hour

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

Jerry does $2.11$ cases per hour (Rounded to 2 decimal places). As we cannot do 0.11 cases. We can say Jerry does 2 cases per hour.

Step-by-step explanation:

to find the number of cases per hour, we have to divide the number of cases by number of hours taken for those cases,

Number of cases per hour = $\frac{5cases}{2\frac{3}{8} hours}$

= $\frac{5}{\frac{19}{8} } \\$ cases per hour

= $\frac{5*8}{19}$ cases per hour

= $\frac{40}{19}$ cases per hour

= $2.11$ cases per hour (Rounded to 2 decimal places)

As we cannot do 0.11 cases. We can say Jerry does 2 cases per hour.

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1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

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Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

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$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

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3 years ago

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Answer:

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The simplest requirement of all is that there must be one pair of sides that
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Here are some other, more strict requirements, that make other special
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Answer:

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