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

What is the value of x? Please provide an explanation, thanks!

Answers

Answer:

x=97/5

Step-by-step explanation:

let y be the opposite angle,

6x-11 + y = 180( sum of opposite angles)

y=180+11-6x

y=191 - 6x

thus, 81+x+5+191-6x=180(angle sum property)

-5x=-97

x=97/5

Hi, could any one explain how to find the amount of prime numbers between numbers?

Answers

Answer:

The answer is below

Step-by-step explanation:

So first to find a prime number, you need to know some multiplication skills.

So prime number is a number that is only divisible by itself or 1.

______

For example

3 is a prime number because it can't be divisible by any number

but

9 is not a prime number, because it can be divisible by 3

3 x 3 = 9

______________________

So you get it now

Now if you get a some number between 1 - 10

you have to use your multiplication skills to see if there are any prime numbers.

_____________________________

so

1  - not a prime number, can't be divisible by any number.

2 - not a prime number, can't be divisible by any number.

3 - not a prime number, can't be divisible by any number

4 - is a prime number, can be divisible a number (2 x 2 = 4)

5 - not a prime number, can't be divisible by any number

6 - is a prime number, can be divisible a number (3 x 2 = 6)

7 - not a prime number, can't be divisible by any number

8 - is a prime number, can be divisible a number (4 x 2 = 8)

9 - is a prime number, can be divisible a number (3 x 3 = 9)

10 - is a prime number, can be divisible a number (5 x 2 = 10)

__________________________________________________________

What is the slope of the line through (3, 3) and (0, 12)? Pls help due soon

Answers

Answer:

y=-3x+12 equation of line

however slope is -3

Step-by-step explanation:

y=mx+c

(12-3)/(0-3)=9/-3=-3

y=-3x+c

3=-3(3)+c

3=-9+c

+9

12=c

y=-3x+12

A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries 15, 0, 3, 0, negative 3, 0, 15. Predict which statements are true about the intervals of the continuous function. Check all that apply. f(x) > 0 over the interval (−, 3). f(x) ≤ 0 over the interval [0, 2]. f(x) 0 over the interval (–2, 0). f(x) ≥ 0 over the interval [2, ).

Answers

Answer:

2nd, 4th, 5th

Step-by-step explanation:

Options 2, 4  and 5 are correct.

The intervals that satisfies the condition are

f(x)<=0 over the interval [0,2]

f(x)>0 over the interval (-2,0)

f(x)>=0 over the interval [2,∞)

Given : The table with x  and f(x) values

Lets analyze the table and check the each option that satisfies f(x) or not .

Look the values of x that is from -3 to 3, the f(x) values are both positive and negative . So f(x)>0 is false over the interval (-∞,3)

From the interval 0 to 2, the f(x) values are 0 and negative .

So , f(x)<=0 over the interval [0,2]

Over the interval (-1,1), f(x) values are both positive and negative

So, f(x)<0 is false over the interval (-1,1)

In the interval (-2,0) , the f(x)  is positive.

So , f(x)>0 over the interval (-2,0)

In the interval  [2,∞), f(x) is positive

So , f(x)>=0 over the interval [2,∞)

Learn more : brainly.com/question/11803482

In logical reasoning, what does "V" represent?

Answers

Answer:

Violation

Step-by-step explanation:

Why does multiplying the input of a linear function change
only the slope while multiplying the output changes both the slope and the
y-intercept?

Answers

Answer:

Step-by-step explanation:

If we have a linear function and we multiply the input of the function, we aren't really changing the values of the function, we're changing the rate at which those values are reached.

E.g. if you look at the attached picture, we have [tex]f(x) = 2x[/tex] and [tex]f_2(x) = 4x[/tex], which is just [tex]f(2x)[/tex]. The value when the red line is x = 1 is half that of the value of the blue line when x = 1.

The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.

If you're interested in the calculus behind this, look up the chain rule of derivatives.

However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.

EASY BRAINLIST
question in picture.

Answers

Answer:

Yes

Step-by-step explanation:

Does this image have a set of inputs to a set of possible outputs where each input is related to exactly one outputs Yes or No?
Explain your answer

Answers

Answer: Yes

This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

These box plots show the prices for two different brands of shoes.

Answers

Answer: Choice C

The interquartile range (IQR) for brand A, $10, is less than the IQR for brand B, $20.

===========================================================

Explanation:

Let's go through the answer choices one by one to see which is true and which is false. Also, we'll see which is helpful when it comes to the spread.

----------------------

Choice A

The IQR is found by subtracting the values of Q1 and Q3, which are the left and right edges of the box in that order.

For boxplot A, we have an IQR = Q3-Q1 = 80-70 = 10.

So we can immediately rule out choice A because the IQR for boxplot A is not 20, but instead it's 10.

----------------------

Choice B

The statement made in choice B is true, since the center vertical lines represent the median, but it's not useful to determine the spread. The median only tells us the center of the distribution. It doesn't tell us how spread out the distribution is.

Imagine you didn't have access to the graph. Now if you're told that the median for brand A is larger than brand B's median, then you'd probably think boxplot A is more spread out; however, the boxplot diagram shows the opposite is the case.

So again the median isn't used here. We can rule out choice B.

----------------------

Choice C

This statement is true. We subtract the box edge values to get the IQR values for each boxplot

For brand A we have IQR = Q3-Q1 = 80-70 = 10

For brand B we have IQR = Q3-Q1 = 70-50 = 20

This is the answer we're after.

The IQR is one tool we can use to measure the spread. The range is another option. We could also use the variance or the standard deviation (two slightly similar ideas) to measure the spread.

As you can see from the diagram, the larger the IQR, the more spread out the data will be.

----------------------

Choice D

This is false because earlier we've shown 10 is the IQR for brand A.

24 - x = -16 SHOW ALL WORK

Answers

Answer:

X=40

Step-by-step explanation:

24 - x = -16

(-24)      (-24)

-x = -40

(you dived both sides by -1, to make x positive)

x=40

I really need help on this question

Answers

Answer:

40 cm

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal.

Compare the ratio of the 2 smallest sides

[tex]\frac{12}{3}[/tex] = 4 ← scale factor

Thus the longest side of the other triangle is 4 times the longest side of the first triangle , that is

longest side = 4 × 10 = 40 cm

If you add 125 to
[tex] \frac{1}{2} [/tex]
of a number, the result is 450. Which equation would help find the original number? ​

Answers

Answer:

2. [tex]\frac{1}{2}x+125=450[/tex]

Step-by-step explanation:

We can use x to mean the number not known. Let's start by using [tex]\frac{1}{2}[/tex] of a number which would be [tex]\frac{1}{2}x[/tex] because the number here is signified by x. Then you would add 125 to that answer which would be shown by [tex]\frac{1}{2}x+125[/tex]. All of it equals 450, so it would be written as [tex]\frac{1}{2}x+125=450[/tex]

What's the slope of the line parallel to the following equations?

f(x)=-3x+7

Answers

hi there! here is my answer for you...

Answer:

m∨parallel = -3

hope this helps. have a good one!

Answer:

slope m = -3

Step-by-step explanation:

a line is parallel to another line if their slopes are the same

the slope for the function shown is m = -3; there fore the slope of a parallel line will be -3

correct answers only pls. Unless you will be reported. Also please include explanation.

Answers

Answer:

The answer is B) -3 and 1/3

Explanation:

The answer must be between -3 and -4 because that is the location on the plot.

You count two ticks on the plot. The first one is 1/3. The second one is 2/3.

There is no third one because 3/3 would bring you to the next number.

The dot is on the first tick, meaning that it is 1/3. If the dot is between -3 and -4, you can conclude that the answer is -3 and 1/3.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!

Answer:

B -3 1/3 because that is the place on the plot

This system of equations has solutions
1. 0
2. 1
3. Infinitely many

Answers

Answer:

3

Step-by-step explanation:

I'm guessing infinitely many because the lines have no stopping point. Ultimately they would continue on and on.

why the area and the perimeter are not both multiplied by the same factor.

Answers

Answer:

Step-by-step explanation:

It might be the length of one of the sides of a polygon (a figure with straight sides) or the radius of a circle. ... You can find the perimeter of a regular octagon (8-sided figure with equal sides) by multiplying the length of one of the sides by 8. The area of a figure is the measure of how large its surface is. I think btw if its wrong sorry :)

A painter can paint 2 small rooms and a balcony in 50 hours. If a small room takes twice as long to paint as a balcony, how long will it take him to paint 1 small room plus 3 balconies?

Answers

Answer:

50 hours

Step-by-step explanation:

Given that :

Painter can paint 2 small rooms and a balcony on 50 hours

Small room takes twice as long to paint as a balcony

Let :

Time taken to paint balcony = t

Time taken to paint small room = 2t

t + 2(2t) = 50

t + 4t = 50

5t = 50

t = 10

how long will it take him to paint 1 small room plus 3 balconies?

1 small room = 2t

3 balconies = 3t

2t + 3t = 5t

5(10) = 50 hours

the question is in the picuture

Answers

Answer:

y = x - 2

Step-by-step explanation:

The equation of a line can be known as y = mx + b, with m being the slope and b being the y intercept.

1. Find the Slope

The slope can be known as the change in y/change in x.

Two points: (2,0), (0,-2)

-2 - 0/ 0 - 2 = -2/-2 = 1

Slope is 1

So now we can replace the m as 1. So that is y = x + b

2. Find the y intercept

The y intercept is -2 because that is the point where the line meets the y axis.

So our equation is y = x-2

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How many terms are in this expression?
–n2+4–2n–10m

Answers

Answer:

            Four:  –n2, 4, –2n, –10m

please help fast i have no clue what this is meaning
ILL MARK U BRAINLIEST

Answers

Answer:

A function is a relation that is either

one-to-one, meaning each output only has one inputmany-to-one meaning some outputs can have more that one input, but all inputs only have one output

So, That pic is cramped, don't even know what functions are being referenced but

from the a, b, c, d relation

It is not a function because some inputs have more that one output, which fails our man-to-one rule

From the equations

-3x = 15 is not a function, because it only has one input but more than one output breaking rule 12y=10 is a function because every input x has only one output y, it is many-to-one3x-0.25y=3 is a function, it is one to one

From the graph

the line is a function, since it is many-to-one

From the points

the x coordinate is the input, not points (2,6) and (2,3) have the same input for two outputs, breaking rule 2, that each input should have only one output. So the points are not a function

RIDDLE
Mr. and Mrs. Mustard have six daughters and each daughter has one brother. How many people are in the Mustard family?

Answers

Answer:

9

Step-by-step explanation:

LOL

What is m PQR 3x+5 x+3

Answers

Answer: m <PQR =600. 3x = 5X-20. -2x =- 20.

Step-by-step explanation:

Find the amount and compound interest of Naira 500000 at 2years at 8%​

Answers

Answer:

Naira 583200

Step-by-step explanation:

500000 × 1.08² = 583200

What is the value of v? Please provide an explanation, thanks!

Answers

Answer:

13

Step-by-step explanation:

(180-(11v+15)+9v-8+6v-9=180

4v+148=180

4v=52

v=52/4

=13°

HELP MEEEE PLEASE

Given g(x) = f(x) + k. Identify a value of k that transforms f into g. Round your answer to the nearest integer.

k=???

Answers

Yes I think so okay

If I accumulate two gallons of SHlT from an undisclosed location and I sell one gallon but in the process get two more gallons how many will I have left

Answers

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3

Brainiest!!!!!!! please help

Answers

The answer to this question is B, No solution


The manager of a garden store decides to hold a Buy 3, Get 1 Free sale on vegetable plants. The sale is held for one week and a total of 636
vegetable plants were sold (not including the ones given away for free). If each plant cost the store $2.90, how much money did the store lose
by giving away the free plants?

Answers

Answer:

the shop lost $922.20 by giving away free vegetable plants.

Step-by-step explanation:

you would start by dividing 636 by two to see how many free vegetable plants were given away.

636 / 2 = 318

this shows us how many free vegetable plants were given for free, so then to find how much money the store lost giving them away for free, you would multiply 318 by 2.9

318 x 2.9 = 922.2

Therefore the shop lost $922.20 by giving away free vegetable plants.

please help me with geometry!!!!! due

Answers

I believe the answer is A. Please correct me if I’m wrong I’m also learning that same unit
The answer is A if this helped a brainliest would be appreciated.

PLEASE PLEASE PLEASE PLEASE QUICK QUICK QUICK QUICK QUICK

Answers

Answer:

[tex]the \: vertex \: is \: the \: point = (5 ,\: 1)[/tex]

Answer: I think that it is B (5,1)

Step-by-step explanation:

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