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BartSMP [9]
2 years ago
12

Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way

back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?
Mathematics
1 answer:
Trava [24]2 years ago
7 0

Answer:

6.4 minutes

Step-by-step explanation:

The question gave us the following details:

Average speed = 60mph

Time spent on trip = 8 hours

Average speed of express train on way back = 75mph

T = distance/speed

D = distance

V = speed

T = d/v

d = v(t)

d = 60 x 8

= 480

Such that

480/75

= 6.4 hours.

That is 6 hours 40 minutes is the length of time it would take on the trip home.

Thank you!

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Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know ho
Eva8 [605]

Answer:666 hours

Step-by-step explanation: The reason is that if you turn the problem into an equation it would be h=Lx. h= hours. L=how long the log lasts and x=how many logs. So when you plug in the numbers you get 101010=L*151515. So we need to find L. What you do is you divide both sides by 151515 since it is the opposite of multiplication. 151515/151515 gets crossed out and 101010/151515 is .6666666666666 irrational. So the equation now looks like .666666 irrational=L. So .66666 irrational is your L. Know you plug .666666 irrational into your original equation. Which is now h=.6666 irrational*x. So to find how long the fire keeps on burning with 999 logs you just plug 999 into x and now your equation looks like this h=.6666 irrational*999. If you multiply .6666 irrational by 999 your final answer is 666.

8 0
2 years ago
Two vehicles are driving along a straight roadway at a constant speed. At a certain point in time, a car is 1.2 miles away from
Maurinko [17]

Answer:

The expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds

Step-by-step explanation:

The parameters given are;

Distance, d between car and landmark = 1.2 miles

Speed of car = 65 miles/hr

Distance between truck and landmark = 0.7 miles

Speed of car = 55 miles/hr

The expression for the total distance between the car and the landmark as a function of time t is given as follows;

Distance, d = Speed, v × Time, t

Therefore, the expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds.

7 0
2 years ago
1. Walking to improve health. In a study investigating a link between walking and improved health (Social Science & Medicine
lora16 [44]

Answer:

a) We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:\mu \geq 5.5  

Alternative hypothesis:\mu < 5.5  

b) For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

c) For this case the significance level is given \alpha=0.01 and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

z_{cric}= -2.326

And the rejection zone would be: (\infty ,-2.326)

And the region is on the figure attached

Step-by-step explanation:

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:\mu \geq 5.5  

Alternative hypothesis:\mu < 5.5  

Part b

For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

Part c

For this case the significance level is given \alpha=0.01and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

z_{cric}= -2.326

And the rejection zone would be: (\infty ,-2.326)

And the region is on the figure attached

3 0
2 years ago
A rectangle has a length that is equal to 4 less than twice the width. The function for the perimeter depending on the width can
Lady_Fox [76]

Answer:

The mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2

Step-by-step explanation:

In the real world, length and width only make sense when they are positive. For that to be the case, the width must be greater than 2. There is nothing in the description that restricts the values to integers.

8 0
2 years ago
Find the exact values for the lengths of the labeled segments a, b and p drawn in green, red, and blue, respectively. Note that
adell [148]
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