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Sveta_85 [38]
3 years ago
12

Two buses depart two cities moving in the same direction. The speed of the first bus is 54 mph which is 60% of the speed of the

second bus. The faster bus caught up to the other bus one hour and thirty minutes after the departure. will give brainliest
Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

The second city is 54 miles behind the first city

Step-by-step explanation:

The first bus is assumed to go ahead of the second bus and is moving at 54 mph. The second bus is moving at a speed such as 54 mph is 60% (0.6) of its speed.  

The speed of the second bus is then 54/0.6 = 90 mph

When 1 and a half hour has passed, the first bus has moved a distance of

X_1=54\times 1.5 = 81 miles

The second bus (behind the first bus) has moved

X_2=90\times 1.5 = 135 miles

The problem states they both meet in that time, it can only be possible if the second bus departed a distance 135 - 81 = 54 miles behind the first city

So, the second city is 54 miles behind the first city

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. Multiply 15 by 1, then divide by 5

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In 1911, the temperature in Rapid City,
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The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F

<h3>How can the change in temperature be found from the rate of change?</h3>

The rate at which the temperature changed = 3.1 °F/min

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The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;

3.1  ^{\circ} F/min =  \frac{ \delta T }{\delta t}  =  \frac{ \Delta T }{ \Delta t}

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Which gives;

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Suppose j varies jointly with g and​ v, and j=2 when g=4 and v=3. <br> Find j when g=8 and v=9.
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Answer:

j=12

Step-by-step explanation:

we know that

In a join variation, If j varies jointly with respect to g and v, the equation will be of the form j = kgv

where k is a constant

step 1

Find the value of k

we have

j=2,g=4,v=3

substitute and solve for k

2 = k(4)(3)

2 = 12k

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The equation is equal to

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step 2

Find the value of j when g=8,v=9

substitute the values in the equation and solve for j

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