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galina1969 [7]
2 years ago
5

James and Lucas competed in climbing a mountain and coming back. James climbed Alan average rate of 3 mph and ran back at 4 mph.

Lucas climbed at an average rate of 2 mph and ran back at 5 mph. If the path from the bottom to the top of the mountain was 2 miles, how much time did each take to finish and who was faster?
Mathematics
2 answers:
kondor19780726 [428]2 years ago
7 0
It took 70 minutes for james to finish which mean he finished faster bc lucas finished after james and it took lucas 84 minutes
Bad White [126]2 years ago
6 0

Answer: It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

Step-by-step explanation:

Given,

Climbing rate of James = 3 mph

Running back rate of James = 4 mph

Climbing rate of Lucas = 2 mph

Running back rate = 5 mph

Total distance = 2 miles

We know that;

Distance = Speed * Time

As we have to find, we will rearrange the formula in terms of time

Time took by James for climbing =

Time took for running back =

Total time =

Total time taken by James =

1 hour = 60

Total time taken by James =

Time took by Lucas for climbing =

Time took by Lucas for climbing = 60 minutes

Time took on return =

Total time taken by Lucas = 60+24 = 84 minutes

Therefore,

It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.

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The answer would be 1/100 or 0.01
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3 years ago
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What are the factors of 3x^2 + 23x − 8?
Margaret [11]
<span>3x</span>²<span> + 23x − 8 = 3x</span>² + 24x - x - 8 = 3x(x+8) - (x+8) = (x+8)(3x-1)
8 0
3 years ago
SOLVE
Ber [7]

Answer:

Step-by-step explanation:

Numer 1:  The answer to this problem is 4 pounds

Numer 2: 13 cups

Explanation:

Four jars of sauce with 26 oz would be a total of 104 ounces

4 x 26 = 104

1 cup contains 8 ounces.

104 oz x \frac{1cps}{8oz}=13 cups

Numer 3: Since,  1 quartz = 33.307 ounces ( approx )

⇒ 3 quartz  = 99.921 ounces

If the total number of players = 16,

And, the given fluid is divided equally among these players,

Then the total quantity of fluid each player get

\frac{toral quality od drink }{ total players}

=\frac{99.921}{16}

=6.24505625= 6.245

Hence, each player will get around 6.245 ounces of the drink.

Number 4:

36 inches or 3 feet is the correct answer

Number 5 ;

The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...

There are:  

64 boxes of pencils

1 box weighs 2.5 ounces

Find its total weight in pounds.

1 ounce = 0.0625 pounds

64 boxes * 2.5 ounces = 160 ounces

160 ounces * 0.0625 pounds/1 oz = 10 pounds.

The 64 boxes of pencils weigh 10 pounds.

8 0
3 years ago
45.3297 rounded to the nearest tenth would be?
Alex
45.3297 rounded to the nearest tenth is 45.3
3 is in the tenths place, so you look at the number to the right of it. If that number is 5 or more, you round up. If the number is 4 or less, you round down. So you round 45.3297 down to 45.3
5 0
3 years ago
The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 90 inches comma and a standard
Debora [2.8K]

Step-by-step answer:

standard deviation (sigma) = 12 inches

mean (mu) = 90 inches.

For 36 years, the standard error of the mean is

e = sigma / sqrt(n) = 12" / sqrt(36) = 2".

Deviation from the mean

= 92.8 -90 = 2.8

Since the standard error of the mean follows the normal distribution, we have

Z=(92.8-90)/2 = 1.4

Looking up the normal distribution tables, or check R, we find

P(Z>1.4) = 1-P(Z<1.4) = 1-0.9192433 = 0.08075666

Answer: P(snowfall>92.8) = 0.0808 (to four decimal places)

3 0
3 years ago
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