Denise has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8mph and walks back at a speed of 2mph, how long should she plan to spend walking back?

Answers

Answer 1

Answer:

Denise should plan to spend 36 minutes walking back.

Step-by-step explanation:

Let 'x' reflect the amount of time spent running in hours, then 3-x represents the time spent walking in hours.

here , we know,

           [tex]Distance= Speed \times time[/tex]

Given the values ,

[tex]Distance= 8x[/tex]  

[tex]speed=2mph[/tex]

[tex]Time=(3-x)hours[/tex]

Now , putting these values ,

[tex]8x=2(3-x)[/tex]

[tex]8x=6-2x[/tex]

[tex]10x=6[/tex]

[tex]x=\frac{6}{10}[/tex]

[tex]x=\frac{3}{5}[/tex]

[tex]\frac{3}{5} \times 60[/tex] = 36minutes (converting hours into minutes that is 1 hour = 60 minutes )

Hence , the answer is 36 minutes .


Related Questions

In the polynomial shown in the graph below, are there any places that could be described as either a local minimum or local maximum? Neither? Both?

Answers

Answer:

Local Min and Local Max

Step-by-step explanation:

Since our end behavior of our graph is goes on to infinity and negative infinity, we know that we will not have an absolute min or max. However, we will have relative/local min and max.

The local min and max are mins and maxes relative to the surrounding points. We see that our local min would happen around x ≈ 0.75 and our local max will happen at x ≈ -1.9.

The table represents the total miles traveled, y, after a certain number of hours, x. A 2-column table with 5 rows. Column 1 is labeled hours: x with entries 1.5, 3.0, 5.0, 5.5, 7.0. Column 2 is labeled Miles: y with entries 60, 120, 200, 220, 280. Which linear equation represents the scenario? y = 7x + 280 y = 40x + 60 y = 40x y = 3x + 120

Answers

Answer:

y=40x

Step-by-step explanation:

got it right lol

Answer:

y = 40x

Step-by-step explanation: I took the test on edge

Find the slope of the following linear equation: 2x – 3y = 6
a. - 2/3
b. 2
c. 2/3
d. -2

Answers

c . 2/3 is the correct answer

Answer:

C. 2/3

Step-by-step explanation:

That's what i got personally, but i would wait for another answer to confirm

what is the value of x?

Answers

Answer: I believe 13.5

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT

Answer:

the letter x is often used in algebra to mean a value that is not yet known. it is called a variable or sometimes an unknown in x + 2 =7 ,x is a variable,but we can work out its value if we try.....

Olivia needs 54 licks for every 3 lollipops she eats.

Complete the table using equivalent ratios.

Answers

Answer:

sorry...

Step-by-step explanation:

lol

Express the following equation in slope-intercept form:
y+41 =
4
(x+16)
Select the best answer from the choices provided.
OA
4
y=-x+18
11
OB.
4
y=- - X+-26
11
Ос.
11
y=- - *+-19
4
D.
11
y= - X+3
4

Answers

Answer:

y=4x+23

Step-by-step explanation:

sorry  cant choose answer choice ..i ant tell which is which...bu i think you should by now....

i hope this stilled helped

What is 8 divided by 3526​

Answers

Answer:

The answer is 4/1763 in fraction

In decimal, the answer is 0.001 rounded to thousandths.

Step-by-step explanation:

If you want to divide this, you will have to make this expression to a fraction

to 8/3526. Divide the highest numerator if the fraction can simplify. It looks like 3526 can only be simplified by being divided by 2. Divide 2 to each side of the fraction. You should get 2/1763 as a fraction.

-10m+21=111 solve for m

Answers

Answer:

ans is 11-21/10 sry I don't have calculator

Do Dilation's always increase the length of line segments?
true or false
i'm marking someone brainliest with the right answer?

Answers

Answer:

true

Step-by-step explanation:

I'm pretty sure it's trur

Which equation does not have the same solution as the others?
A.2x=16
B.x-9=17
C.x/4=2
D.x+12=20

Answers

A & B
a=17
b=24
c=8
d=8

david goes on an 8-mile walk every saturday. david completes the distance in 4 hours. at this rate, how many miles can david walk in 5 hours and 30 minutes?

Answers

Step-by-step explanation:

4 hours = 8 miles

1 hour = 8/4 = 2 miles

5.5 hours (5 hr 30 min) = 2 miles × 5.5

=11 miles

Pls help question is below.

Answers

Answer:

where is the question

Step-by-step explanation:

u do not have a question so there us nothing to answer

Q5: Car 1 brakes to a stop on a dry road. Car 2 does the same thing, at the same speed, on a road where it has been raining.

Answers

Answer:

finish the question

Step-by-step explanation:

On a scale drawing,
1
2
inch = 1 foot. A rectangular room measures 6 inches by 11 inches on the drawing. What is the area of the actual room?
here are the chooses : A.
33 square feet

B.
66 square feet

C.
132 square feet

D.
264 square fee

Answers

Given parameters:

Dimension of the room  = 6 inches by 11 inches;

Unknown:

Area of the actual room = ?

Solution:

The area of the room = length x breadth

 

Now, we need to convert inches to feet;

                Scale;

                       1 inch = 1 foot

                        6 inches  = 6 foot

                       1 inch = 1 foot

                       11 inch = 11 foot

The area of the room = 6 x 11 = 66 square feet

Answer:

6 x 11 = 66 square feet

Step-by-step explanation:

Math problem number 6 its in the ss

Answers

6 inches because all you have to do is divide 450 by 75
Six inches .........

Is A the point or coordinate in A(3,5)

Answers

Answer:

The point

Step-by-step explanation:

I hope this helps. Have a good day!

Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.

Work out the percentage increase in the cost of her car insurance

Answers

Answer:

The percentage increase in the cost of her car insurance is 260.4%

Step-by-step explanation:

First, we are going to find by how much the insurance increased:

We know that this year she pays £883 and the last year she paid £245, so

insurance increase = £883 - £245

insurance increase = £638

Now, we are going to find what percentage of the last year price is the insurance increase. So, to find the percentage increase in the cost of the car insurance, we need to divide the insurance increase by the last year price and multiply the result by 100%

percentage increase = (\frac{638}{245} )(

245

638

) (100%)

percentage increase = (2.604)(100%)

percentage increase = 260.4%

We can conclude that Jo's car insurance cost increased 260.4%

Explain! Prizes! Thank you!!

Answers

i would say its the first one

I dont get this at all somebody help

Answers

Answer:

ok lets relax and figure this out,

so the arts academy basically has only 100 students.

There’s 4 tutors per 40 students.  

6 teachers per 114 students

so it’s basically division

19 kids per teacher, 1 tutor per ten kids

see? All worked out! If you need help just add a comment to this!

10. A pizzeria charges $11.00 for a large cheese pizza and $0.75 per topping on the pizza. Find the slope.
A. $11.00
B. $0.75
C. $11.75
D. $10.25​

Answers

D is the answer ........

Answer:

I'm pretty sure the answer is "D".

Step-by-step explanation:

CORRECT ANSWER WILL GET BRAINLIEST!! ITS A MATH QUESTION!!

Answers

Answer: X =  -5

Step-by-step explanation:

Answer:

i think it is C

Step-by-step explanation:

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

Answers

Answer:

20

Step-by-step explanation:

360÷18=20

thus ,the polygon have 20 sides

Answer:

20

Step-by-step explanation:

i need help with this 1.5r – 3r + 8r + 2.5r i don't get it

Answers

Answer:

9r

Step-by-step explanation:

1.5r+2.5r-3r+8r

4r-3r+8r

r+8r = 9r

the mean mass of 6 boxes is 45kg. one of the boxes with a mass of 50kg is removed. calculate the new mean mass of the remaining boxes​

Answers

Answer: 6 boxes. average 45 each.

Step-by-step explanation:

The mean of a dataset if the average of the dataset.

The new mean mass of the remaining boxes is 44 kg

From the question, we have:

[tex]\mathbf{\bar x = 45}[/tex] --- mean of 6 boxes

The mean of a dataset is:

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

So, we have:

[tex]\mathbf{45 = \frac{\sum x}{6}}[/tex]

Multiply by 6

[tex]\mathbf{45 \times 6= \sum x}[/tex]

[tex]\mathbf{\sum x = 270}[/tex]

One of the boxes is 50 kg.

So, the mass of the remaining boxes is:

[tex]\mathbf{Mass = 270 - 50}[/tex]

[tex]\mathbf{Mass = 220}[/tex]

The mean of the remaining boxes is:

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

[tex]\mathbf{\bar x = \frac{220}{5}}[/tex]

[tex]\mathbf{\bar x = 44}[/tex]

Hence, the new mean mass of the remaining boxes is 44 kg

Read more about mean at:

https://brainly.com/question/2018505

Describe in words a sequence of transformations that maps ABC to A'B'C'

Answers

Answer:

First is a 90Âş rotation (counter-clockwise) with respect to the origin. Next is a horizontal transformation of +2 units. Transformation one is (x, y) -> (-y, x) Transformation two is (x, y) -> (x + 2, y)

Step-by-step explanation:

Which equation represents the line that passes through the points (–4, 3) and (2, –12)?

–9x + 2y = 42

x + 2y = 2

5x + 2y = –14

2x + 5y = 7

Answers

Answer:

5x + 2y = –14

Step-by-step explanation:

Graph the points and find the equation from there.

Answer:

the answer is 5x + 2y = –14 their right

Step-by-step explanation:

7m2 + 3m + 4m2
What is the answer to this

Answers

I’m assuming the 2’s are supposed to be exponents so you’re gonna to combine 7m^2 and 4m^2 to get 11m^2 so you’re answer would be

11m2+3m

You dint know the value of M so you can’t solve it, especially because there’s no equal sign with a number or expression/equation after it.

Rule: Multiply x by 3. Then subtract 1 from the result to
get y
Which ordered pair, (x, y), works for the rule?
Choose 1 answer:
A-(2,7)
B-(1,2)
C-(3,1)

Answers

The answer is B (1,2)
b the answer is correct

This is khan and I have 10 more problem academy. Some help please?

Answers

Answer:

67 degrees

Step-by-step explanation:

the shape is a tryangle so it will have the same angle measurements, just make sure you look if it has the slash next to the letter or not in the future

Hope this helps girly!!

Answer:

[tex]\angle{C}=54[/tex]

Step-by-step explanation:

Let's first start by establishing that when it comes to a reflection, side lengths and angle measurements remain the same. With that being said, let's identify our angle measurements:

[tex]\angle{A=}\\\angle{B}= 67\\\angle{C}=\\\angle{A'}=59\\\angle{B'}=\\\angle{C'}=\\[/tex]

As mentioned earlier, angle measurements will remain the same, so we can go ahead and identify the values of [tex]\angle{A}[/tex] & [tex]\angle{B'}[/tex]

[tex]\angle{A=59}\\\angle{B}= 67\\\angle{C}=\\\angle{A'}=59\\\angle{B'}=67\\\angle{C'}=\\[/tex]

The sum of the angles in a triangle will always be equal to 180°.

Add the two identified angles of the original figure.

[tex]59+67=126[/tex]

Subtract the sum from 180:

[tex]180-126=54[/tex]

Therefore:

[tex]\angle{C}=54[/tex]

_

Check your work by adding the three identified angle measurements to see if they measure to 180°:

[tex]59+67+54[/tex]

[tex]=180[/tex]

The answer is correct!

give me an example of an ordered pair​

Answers

Answer:

My example of a ordered pair is (1,4) (2,8)

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