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Shalnov [3]
3 years ago
6

Two trains leave Cleveland at the same time. One train travels east and the other travels west. The speed of the westbound train

is 4mph greater than the speed of the eastbound train. After 3.5 hours, they are 658 miles apart. Find the rate of each train. Assume that the trains travel in a straight line in directly opposite directions
Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer:

The eastbound train travels at 92 mph and the westbound train travels at 96 mph.

Step-by-step explanation:

We know that Velocity = distance / time

If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.

After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.

Substituting the values of the problem and solving for x we have

658 = 3.5x+3.5(x+4)\\658=3.5x+3.5x+14\\644=7x\\92=x

Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.

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Answer:

2.10

Step-by-step explanation:

The point estimate for the population standard deviation of the height of the cabinets equals to the provided standard deviation of the cabinets. Rounding off the given standard deviation which is 2.1 to 2 decimal places as the question requires then the point estimate for the population standard deviation of the height of the cabinets is approximately 2.10 ( 2 decimal places)

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3 years ago
Can someone please help me figure this out, thanks!
AURORKA [14]

Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

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2 years ago
The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The fi
Marianna [84]

Answer:

hello your question is incomplete below is the complete question

The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of 33 Honda Accords. Click on the datafile logo to reference the data. The estimated regression equation is Selling price = 20385.25049 - 0.03739 Mileage - 686.33668 age. Round your answers to the nearest dollar. a. Estimate the selling price of a four-year-old Honda Accord with mileage of 40,000 miles.

answer :  ≈ $16144

Step-by-step explanation:

<u>Determine the selling price of a four-year-old Honda Accord with mileage of </u><u>40,000</u><u> miles.</u>

Given data :

Age= 4 year, Mileage=40,000 miles

Hence the selling price

= 20385.25049 - 0.03739 Mileage - 686.33668 age

=  20385.25049 - 0.03739(40,000)  - 686.33668 ( 4 )

= $16144.32

 

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A man selling computer parts realizes that when he sells 16 computer parts, his earning is $1700. When he sells 56 computer part
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We need to find the unit rate. To do so, divide the amount of money he makes by the number of parts sold. 1,700 / 16 = 106.25. So, if the man sells one computer part, he gets $106.25. To find the price of 30 parts, multiply 106.25 by 30. 106.25 * 30 = $3,187.50

The man will make $3,187.50 if he sells 30 parts.

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Answer:

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Step-by-step explanation:

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