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

The sum of twice a number and 4 is -22. Find the number

Answers

Answer:

-13

Step-by-step explanation:

let the unknown number be x

2x + 4=-22

2x=-22-4

2x=-26

divide both sides by 2

x=-13

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
y=7

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

Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10

The missing side 10.

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:

https://brainly.com/question/14930619

#SPJ1

What is the final amount if 1885 is increased by 5% followed by a further 18% increase

Answers

9514 1404 393

Answer:

  2335.515

Step-by-step explanation:

The first increase multiplies the original amount by 1 + 5% = 1.05.

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

Then the final amount is ...

  1885(1.05)(1.18) = 2335.515

I need this answer ASAP!!!!!!
What is 1 + 2?

Answers

Ummmmmm I think it’s 12

Answer:

3

Step-by-step explanation:

The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write your answer as a fraction in simplest form.
The ratio of adults to students is

Answers

Answer: 17 to 15

Step-by-step explanation:

which statement is true

Answers

Answer: The answer is D. the data distribution is skewed to the right.

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.

The answer is d the data is skewed to the left

The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?

Answers

Answer:

2r ^2  +61+3x

Step-by-step explanation:

1 Collect like terms.

(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r

​2

​​ −r

​2

​​ )+(58−6+9)+3x

2 Simplify.

2{r}^{2}+61+3x2r

​2

​​ +61+3x

What is the equation of the line that passes through the point (–5,–6) and has a slope of zero?

Answers

Answer:

y = -6

Step-by-step explanation:

y = mx +  b

-6 = -5(0) + b

b = -6

Is this a Right Triangle 9 m, 15 m, 17 m
Yes or No?

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.

Squares of the two shorter sides:

[tex]9^{2}+15^{2}=306[/tex]

Square of the longer side:

[tex]17^{2}=289[/tex]

[tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.

I hope this helps :)

Evaluate 2x

2 + y if the values of x = 3, and y = 10

Answers

Answer:

6,12

Step-by-step explanation:

i have no idea what to do

do u want me to evaluate 1 problem or 2

6,2
Do you want me to do 1 or 2 Answeres

Which geometric shape would best describe a flashlight?
cylinder
hemisphere
rectangular prism
sphere

Answers

Answer:

cylinder

Step-by-step explanation:

f (x)=−8x− 4 cual es la pendiente y y el coeficiente de posición f (x )= (6x− 12) : 3 cual es la pendiente y y el coeficiente de posición AYUDA PORFA

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.

f (x) = - 8x− 4   we know that f(x) is y

slope intercept form of the line

y = -8x -4

slope = -8

intercept = -4

similarly

f (x) = 6x− 12

y = 6x -12

slope =6

intercept = -12

(10pts) A train left a station at 8:00 am
going at 45 mph. A second train left the station
at 10:00 am going in the same direction at 55
mph. At what time will the second train catch
up with the first train?

Answers

Answer:

12:00 i think

Step-by-step explanation:

hope this helps

PLEASE BE A LIFE SAVERRR AND HELP ME ITS SO IMPORTANT

Answers

Answer:

a

Step-by-step explanation:

If you factor 27x^3+1 in form (a-b)(a^2+ab+b^2) what is the value of a?

Answers

Answer:

3x

Step-by-step explanation:

i took the test and got it right

Solve for c and d:
10 – 7i = (c – 4) + zdi
C =
d =

Answers

Answer:

c= 14-7i-zdi

d=14/zi - 7/z - c/zi

Step-by-step explanation:

Solve for c by simplifying both sides of the equation, then isolating the variable.

Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.

Here you go! Hope this helps

Sarah's math grade average is 93.3333(repeating)%. What is the repeating decimal part of her grade as a fraction?

Answers

It is 1/3....................

Answer:

280/3

Step-by-step explanation:

multiply the number by 10x

subtract it by the original number on both sides

it should give u 9x to whatever answer u got multiply by 10 then divide by 90

An electrician charges a rate of $65 per hour plus a fee of $75 for a job done during the weekend. She earned $465 for a weekend job.

Part A. Enter an equation to find the number of hours, h, the electrician worked on this job.

Part B. How many hours did the electrician work?

Answers

Answer:

(465 - 75) ÷ 65

She worked for 6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

jj

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?
y-22=10x y=22x-10 y=22x+10 22x+y=10

Answers

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

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

$12x17.5=210

$11x12.5=137.5

210+137.5=$347.5

Elizabeth worked for 17.5 Hours

Her sister worked 12.5 hours

Which two expressions are equivalent to each other?

Answers

Answer:

The answer is 8^11/8^5 and 8^3×8^3

8^11/8^5= 262144

8^3×8^3= 262144

Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?

Answers

im pretty sure it’s 15.77 because if you divide $78.75 by 5 you get that.

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

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:

Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

The slope of the line will be "[tex]-\frac{2}{3}[/tex]".

The given points are:

[tex](x_1, y_1) = (0, -2)[/tex]

[tex](x_2, y_2) = (3, -4)[/tex]

As we know,

→ The slope of the line:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

= [tex]\frac{-4-(-2)}{3-0}[/tex]

= [tex]\frac{-4+2}{3}[/tex]

= [tex]-\frac{2}{3}[/tex]

Learn more about slope of line here:

https://brainly.com/question/18891994

Find the slope of the line.

Answers

Answer:

4

Step-by-step explanation:

Write the following algebraically:
I think of a number, take away one and multiply the rest by 3.

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

y = 3(57)

y = 171

Hope this helps!!

A. an angle measures . What is the measure of its supplement?

B. An angle measures . What is the measure of its complement?

there are 2 parts plz answer both.

Answers

Answer:

Fkgjjgjvvkvkkv

Step-by-step explanation:

Mcmvvnvnvfngnfkkfkfkfxkcjccnvnvnvvn

Hhh

Help me now!!!!! This is due at 12

Answers

16

i know this because
2 x 9 = 18
4 x 9 = 36
and 14 x 9 = 126

so, the constant of this proportional ratio table is 9

144 divided by 9 is 16

Answer:

umm what grade are you in???

144/9= 16!!!!!

Step-by-step explanation:

anyways wont act exactly like you and the answer is 16

There are 8 big fish for every
small fish.
There are 4 big fish for every
small fish.

Answers

So what’s the question-

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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