Mr. Howard and Ms. Egan enjoy running on the weekends. They both usually run at a steady pace and try to meet in the middle. They are 14 miles apart. Mr. Howard can run 3 miles in 30 minutes. Ms. Egan can run 4 miles in 30 minutes.

Answers

Answer 1

Given :

Distance between them, D = 14 miles .

Mr. Howard can run 3 miles in 30 minutes.

Ms. Egan can run 4 miles in 30 minutes.

To Find :

Time taken by them to meet.

Solution :

Mr Howard speed, [tex]v_H=\dfrac{3}{0.5}=6\ mph[/tex] .

Mr Egan speed, [tex]v_e=\dfrac{4}{0.5}=- 8\ mph[/tex] . [ Since they run in opposite direction ]

Their relative speed :

[tex]v=v_E-v_H\\\\v = 8-(-6) \ mph \\\\v = 14 \ mph[/tex]

Time taken by them to meet :

[tex]T = \dfrac{14}{14}\ hours\\\\T = 1 \ hours[/tex]

Hence, this is the required solution.


Related Questions

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

c= 14-7i-zdi

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Step-by-step explanation:

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Here you go! Hope this helps

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Answers

Answer:

No it would not be because two sides added up would not equal the other side

Step-by-step explanation:

Answer:

No it is not.

Step-by-step explanation:

All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.

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I hope this helps :)

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Answers

Answer:

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Using the equation y = 3x – 5, what would the output be for an input of 4

Answers

The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
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The output is 7.

Answer:

output(y)=7

Step-by-step explanation:

y=3(4)-5

<=> y= 12-5

<=> y= 7

Find the length of the missing side. The triangle is not drawn to scale

Answers

Answer:10

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Option C is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

Applying the Pythagorean theorem.

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10

Thus,

The missing side is 10.

Learn more about the Pythagorean theorem here:

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Answers

Answer:

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Step-by-step explanation:

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Answers

The translation of the given question is

f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient

Answer:

We need to determine slope and position coefficient which is the intercept.

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y = -8x -4

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intercept = -4

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Write the following algebraically:
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Answers

Answer:

y = 3(x-1)

Step-by-step explanation:

Here is an example so you know it works.

Regular: I pick 58 I take away 1 = 57*3=171

Algebraically: y = 3(58-1) First do parenthesis

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Hope this helps!!

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

Answers

Answer:

2

Step-by-step explanation:

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As we know,

→ The slope of the line:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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So what’s the question-

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Answers

Answer:

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jj

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Answers

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Answer:

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Step-by-step explanation:

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The second increase multiplies the already increased amount by 1 + 18% = 1.18.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Elizabeth and her sister earned money shoveling snow over winter break. Altogether, they shoveled for a total of 30 hours. Elizabeth charged her customers $12 per sidewalk, and her sister charged $11 per sidewalk. If they earned $347.50 total, how many hours did each girl spend shoveling?

Answers

Answer:

Step-by-step explanation

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Her sister worked 12.5 hours

Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
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Answers

The equation of the line is Y =22x + 10

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Answers

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Step-by-step explanation:

Since in the picture it is shown that everything is more to the left but the tail is on the right side so it would be skewed right.

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Answers

Answer:

2r ^2  +61+3x

Step-by-step explanation:

1 Collect like terms.

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​2

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2 Simplify.

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​2

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Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?

Answers

Answer:

$463.50

Step-by-step explanation:

3% of 450 is 13.50

450+13.50=463.50

hope this helps :3

if it did pls mark brainliest

463.5 idrk

but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5

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