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Blababa [14]
2 years ago
12

Mario walked at a rate of 2/3 miles every 10 minutes what is his unit rate every mile per hour

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
5 0

Mario's unit rate is given by 900 miles/hour.

Explanation:

We have been given that Mario walked at a rate of 2/3 miles every 10 minutes.

We have the relation between speed, time and distance, which is given by

\text{Speed}= \frac{\text{Distance}}{\text{Time}}

We have,

Distance = \frac{2}{3} \text{ miles}

Time = 10 minutes

On substituting these values in the above formula, we get

\text{Speed} = \frac{2/3}{10}\\\\ \text{Speed} =\frac{2}{10\cdot 3}\\\\ \text{Speed} =[tex]\frac{1}{15} \text{ miles/min}[/tex]

We have to find the unit rate in mile per hour, so we need to multiply it by 60

Thus, unit rate is given by

\frac{1}{15} \times 60\\ = 4 \text{ miles/hour}

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neonofarm [45]

Answer:

K=\frac{2}{(4t^{2}+1)^{\frac{3}{2}}}

Step-by-step explanation:

First of all, we calculate v and a as:

v(t)=\frac{dr(t)}{dt}=(2t,1,0)

a(t)=\frac{dv(t)}{dt}=(2,0,0)

after that, we compute the cross product and we replace in the formula for k

a(t) X v(t) = (0,0,2)

| a(t) X v(t) | = 2

| v |^{3} = (4t^{2}+1)^{\frac{3}{2}}

Hence we have

K=\frac{2}{(4t^{2}+1)^{\frac{3}{2}}}

I hope this is useful for you

regards

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2 years ago
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Ten people, including Fred, are in the Jazz Club. They decide to form a 3-person steering committee. How many possible committee
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ΔABC is dilated using a scale factor of 12 to produce ΔA'B'C'. Select all of the statements that apply to the transformation.
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Answer:

Options (3) and (6)

Step-by-step explanation:

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Since, dilation is a rigid transformation,

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