1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bumek [7]
3 years ago
6

It takes Max 1 minute and 45 seconds to run around a track once. It takes Max 3 minutes to walk one lap on the same track. If Ma

x walks and runs around the track and completes 10 laps in 25 minutes, how many laps did he run?
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

4 laps running

Step-by-step explanation:

Les r be the number of laps he completed running an w the number of laps he walked. Also, lets write all in seconds, which can be a little easier than working with minutes.

Then, as it takes him 1:45 minutes by running, and we know that 1 minute is equal to 60 seconds, we can say it takes him 60+45=105 seconds to run a lap.  Then, as it takes him 3 minutes to walk a lap we can say it takes him 3*60=180 seconds to walk a lap.

Thus, in total the minutes he needs if he runs r laps and walk w laps is:

time = 105 r + 180 w

As we know he did his laps in 25 minutes, which are equivalent to 25*60=1500 seconds:

105 r + 180 w = 1500 [equation 1]

We also know he completes 10 laps, which means that"

r + w = 10 [equation 2]

We can subtract w (or r) in both sides of equation 2 to get the value of r as a function of w:

r = 10 - w [equation 2']

Then we can plug equation 2' in equation 1 leaving all in terms of w:

105 r + 180 w = 1500

105 (10 - w) + 180 w = 1500

1050 - 105 w + 180 w = 1500

1050 + 75 w = 1500

If we subtract 1050 in both sides:

75 w = 1500 - 1050

75 w = 450

Dividing both sides by 75 we get the value of w:

w = 450/75

w = 6

So, he walked 6 laps. Then, he must have run the remaining 4 laps.

You might be interested in
Х<br> A number decreased by 4 is greater than 13.
balandron [24]

Answer:

17

Step-by-step explanation:

6 0
3 years ago
The equation P=28+2.54w models the relation between the amount of Randy's monthly water bill payment, P, in dollars, and the num
Afina-wow [57]

The P - intercept of the equation is 28

<em><u>Solution:</u></em>

Given equation models the relation between amount of Randy's monthly water bill payment and number of units of water used

P = 28 + 2.54w

Where,

"P" is the monthly water bill payment in dollars

"w" is the number of units of water used

Compare this equation with slope intercept form

Slope intercept form: y = mx + c

Where "m" is the slope of line and "c" is the y intercept

Therefore in given equation, P = 28 + 2.54w

2.54 is the slope and 28 is the P - intercept

The slope, 2.54, means that Randy’s payment increases by $2.54 when the number of units of water he used increases by 1

When "w" increases by 1 , then P increases by $ 2.54

The P –intercept means that if the number units of water Randy used was 0, the payment would be $28

When w = 0 ,

P = 28 + 0

P = $ 28

Thus the P - intercept determines the monthly payment bill

3 0
3 years ago
Read 2 more answers
If x=3,y=-2(negative 2) and z=6,what is 7xyz
Nookie1986 [14]
Answer: -252
Hope this helps!
3 0
2 years ago
Read 2 more answers
Is anyone willing to please give me a brainliest on one of your questions? I just need 1 more brainliest crown, and then i go up
Rashid [163]

Answer:

yes suree

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If the sale price is $40 and the discount is 25%, what is the original price?
sveta [45]
Use this equation to solve the problem:

x - (x * .25) = 40

This equation is saying the original price times itself by 25% is 40.

x - (x * .25) = 40
Simplify.
x - .25x = 40
.75x = 40
Divide both sides by .75.
x = 53.33

The original price was $53.33
3 0
3 years ago
Other questions:
  • Whenever you try to find the unit value do you multiply or divide
    10·1 answer
  • A football field has the shape of a rectangle with dimensions of 300 feet long and 160 feet wide. If a fan was to run diagonally
    12·2 answers
  • What is an Expression similar to 3/4(5z+16)
    15·1 answer
  • 1. Between finishing their dinner and going to bed, Zac and Lucy had 4 hours.
    8·1 answer
  • Find the volume of the 3D figure. Round to 3 decimal places.
    8·1 answer
  • What is the answer to -3(x-3)​
    15·1 answer
  • Find the slope using the formula.<br> (3,-2) and (3, 6)
    14·1 answer
  • Luke's turkey chili recipe calls for 2.5 pounds of ground turkey for every 15 servings. How many servings can he make if he has
    9·1 answer
  • What is the point-slope form of <br> Slope: 4/-5 <br> Y-intercept: 1.7
    6·1 answer
  • What is the biggest benefit of automating processes?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!