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Romashka-Z-Leto [24]
3 years ago
14

Barbara drove a total of 580.5 580.5 miles in two legs of a trip. In the first part of her trip, she drove at a constant speed f

or 4.5 4.5 hours. In the second part of her trip, she drove 10 10 miles per hour slower, and drove for 6 6 hours. How fast was Barbara driving in each leg of the trip?
Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Answer:

During the first leg, her speed was 61 mph;

During the second leg, her speed was 51 mph

Step-by-step explanation:

In this question, we are told to calculate the speed at which Barbara traveled in both legs of her trip.

Since we do not know the constant speed at which she drove during the first leg of her trip, we can represent this by x. So we can say her speed during the first leg of the trip is x mph.

For the second leg, she drove 10 mph less. Hence her speed here would be (x-10) mph

Let’s start by calculating the distance she traveled during the first leg.

Mathematically, distance traveled is = speed * time = x mph * 4.5h = 4.5x miles

For the second part of the trip, the distance traveled is (x -10) * 6 = (6x - 60) miles

Now the twist to this is that if we add both distances, we get the total distance traveled.

Let’s do that;

4.5x + 6x - 60 = 580.5

10.5x = 580.5 + 60

10.5x = 640.5

x = 640.5/10.5 = 61 mph

In the second leg, her speed would be 61 - 10 = 51 mph

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The volume of the sphere is 500/3pi cubic units. What is the value of x
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Answer:

Step-by-step explanation:

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and so the cube of the radius, "r," is   r³ = ------------- * -----

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Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. A vending m
Anuta_ua [19.1K]

Answer:

A) 1.96%

Step-by-step explanation:

You need to know the band between 5.48 g and 5.82 g, the mean is 5.67 g and the standard deviation is .0.070 g, with that information you can calculate the percentage to the left of the mean and the percentage to the right of the mean and add them.

To know its percentage you have to calculate the z score for both values.

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For 5.48 g:

z = \frac{5.48-5.67}{0.070} =-2.714

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7 0
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