To keep in shape, Vincent exercises at a track near his home. ​ ​He requires 40 minutes to do 4 laps running and 7 laps walking. ​In contrast, he requires 18 minutes to do 2 laps running and 3 laps walking. ​ ​Assuming he maintains a consistent pace while running and while walking, how long does Vincent take to complete a lap at each pace?

Answers

Answer 1

Answer:

He completes a lap running in 3 minutes, and walking in 4 minutes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the time needed to complete a lap running.

y is the time needed to complete a lap walking.

He requires 40 minutes to do 4 laps running and 7 laps walking.

This means that:

[tex]4x + 7y = 40[/tex]

[tex]4x = 40 - 7y[/tex]

He requires 18 minutes to do 2 laps running and 3 laps walking.

This means that

[tex]2x + 3y = 18[/tex]

Multipluing everything by 2

[tex]4x + 6y = 36[/tex]

Since [tex]4x = 40 - 7y[/tex]

[tex]40 - 7y + 6y = 36[/tex]

[tex]y = 4[/tex]

And

[tex]4x = 40 - 7y[/tex]

[tex]4x = 40 - 7*4[/tex]

[tex]4x = 12[/tex]

[tex]x = \frac{12}{4}[/tex]

[tex]x = 3[/tex]

He completes a lap running in 3 minutes, and walking in 4 minutes.


Related Questions

Tez
Conclusions: Testing Trig Ratios
Does this ramp have an angle less than 4.8°?
Does it meet the ADA guidelines?
Triangle B
Yes
No
40
30

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Answer:

ddjdjdjduduudduudppooo

3-3(x-2)

simplify the expression

Answers

Answer:

-3-3x

Step-by-step explanation:

3-3(x-2)

3-3x+6

-3-3x

Answer:

-3x+9

Step-by-step explanation:

If a cross section of a rectangular prism is cut perpendicular to the base, what would be the shape of the resulting cross section

Answers

Answer:

Step-by-step explanation:

We are given a rectangular prism as shown.

Part A: After slicing the rectangular prism with a plane parallel to the base, we see that the cross-sectional region will be similar to a rectangle.

Thus, the cross-sectional region is a RECTANGLE.

Answer:

triangle

Step-by-step explanation:

A light bulb consumes 3600 watt-hours per day. How many watt-hours does it consume in 4 days and 12 hours?
watt-hours
$

Answers

Answer/Step-by-step explanation:

18 hours = 18/24  reduces to 3/4 of a day

3/4 = 0.75

     so,........ 3600/3.75 = 960 watts per day

Two number cubes are tossed. Find P(1, then 2 or 3).

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

1/6 × 2/6 × 3/6 = 1/36

Step-by-step explanation:

Determine if the point (4, -3) is a solution
to the following system:
x - y = 4.
2x + y = 5
Determine if the point (4,-3) is a solution

Answers

Not a solution I believe.

how do u do this
ahahahehhehehe

Answers

Answer and Step-by-step explanation:

Angle 1 and angle 2 combined equals 180.

So, to find angle 1, we subtract angle 2 from 180.

180 - 57 = 123

m∠1 = 123°

#teamtrees #WAP (Water And Plant)

Answer:

answer is 127 try it and ark me as brainliest

Step-by-step explanation:

180-57

123degrees

Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 181818 chocolate candy bars, and the second gift is a pack of 121212 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?

Answers

answer: 6 is the greatest number of snack bags that Destiny can make. Step-by-step

Step-by-step explanation:

The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.

Answer:

There are 6 snack bags that Destiny can make.

Step-by-step explanation:

Since we have given that

Number of chocolate candy bars in the first gift =18

Number of cookies in the second gift = 12

Since Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins,

So, Destiny can make the greatest number of snack bags is given by

So, there are 6 snack bags that Destiny can make.

Sales tax is 7% How much tax will you have
to pay if you purchase a Microsoft - Xbox
One X 1TB Console for $495.99?

Answers

The answer is 34.72.
I hope this helped

When 5 randomly selected people all have the same birth month of March.

Answers

Answer:

I know 4 people that are all really close friends and all have birthdays in march.

Step-by-step explanation:

Find AB.
MN=22
DC=29

Answers

Answer:

AB=15

Step-by-step explanation:

Since DM =MA and CN=NB, then DC || MN || AB

29-22=7

22-7=15

AB=15

Which of the following is most likely the next step in the series ?

Answers

Answer:

The answer is F) g21T

Hope it helps!

Thanks!

A $30 sweater is having a 20% discount. What should be the price of the sweater after the discount?

Answers

Answer:

$24

Step-by-step explanation:

$24

30 x .80 equals 24

Hope this helps!

Plz, Mark Brainliest!

In a softball league, 4 coaches are needed for every 28 players. If 84 players sign up for softball, how many coaches are needed?

Answers

Answer:

12 coaches

Step-by-step explanation:

If for every 28 players, 4 coaches are needed, for 84 (triple the amount) players, 12 coaches would be needed (triple the amount)

What is 13x+14=???????

Answers

Answer:

x= -1.077

Step-by-step explanation:

(13x+14) -14=0(-14)

13x/(13)= -14/(13)

x= -1.077

Pleaseeee helpp its due in 6 mins

Answers

Answer:

 5 8 as decimal is: 0.625

Step-by-step explanation:

What is 5/8 as a decimal?

To write 5/8 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 5 by 8 what we write down as 5/8 and we get 0.625

And finally we have:

5/8 as a decimal equals 0.625

Bonnie has 4 sharpened and 8 unsharpened pencils in her pencil case. She randomly selects 2 of the pebcils from the box without replacement. What is the probability that both pencils will be sharpened? A. 1/2 B.1/9 C. 4/33 D.1/11

Answers

Answer:

D. 1/11.

Step-by-step explanation:

There are 12 pencils in the case.

Prob( first one is sharpened) = 4/12 = 1/3

Prob(second is sharpened) = 3/11

Prob(both sharpened) = 1/3 * 3/11

= 3/33

= 1/11.

The probability is 1/11 that both pencils will be sharpened which is the correct option(D).

What is probability?

The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.

Given that,

Bonnie has 4 sharpened and 8 unsharpened pencils

So, there is a total of 12 pencils in the pencil case.

Let, the probability first one is sharpened is P(E₁)

The probability second one is sharpened is P(E₂)

P(E₁) = 4/12 = 1/3

P(E₂) = 3/11

Required probability both sharpened P(E) = P(E₁)×P(E₂)

Required probability both sharpened P(E) = 1/3 × 3/11

Required probability both sharpened P(E) = 3/33

Required probability both sharpened P(E) = 1/11.

Hence, the probability is 1/11 that both pencils will be sharpened.

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 391 drivers and find that 319 claim to always buckle up. Construct a 85% confidence interval for the population proportion that claim to always buckle up.

Answers

Answer:

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

They randomly survey 391 drivers and find that 319 claim to always buckle up.

This means that [tex]n = 391, \pi = \frac{319}{391} = 0.8159[/tex]

85% confidence level

So [tex]\alpha = 0.15[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.15}{2} = 0.925[/tex], so [tex]Z = 1.44[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 - 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.7877[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8159 + 1.44\sqrt{\frac{0.8159*0.1841}{391}} = 0.8441[/tex]

The 85% confidence interval for the population proportion that claim to always buckle up is (0.7877, 0.8441).

The figure shows a square with sides of length 1 and a diameter of length x.

How can you determine the value of x?

Find x.
Pls help i don’t know what this is or how to figure it out

Answers

Answer:

√2 units

Step-by-step explanation:

It should be diagonal not diameter.

The diagonal of the square is √2 time the side.

The side given 1 unit, then the diagonal is x = √2 units

9514 1404 393

Answer:

  x = √2

Step-by-step explanation:

Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...

  c² = a² + b²

The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...

  x² = 1² + 1²

  x² = 2

  x = √2 . . . . . . the length of the diagonal (diameter)

_____

Additional comment

The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...

  side : side : hypotenuse = 1 : 1 : √2

(You will see this again.)

3(2X+3)+2(3X+2)=9X+4

Answers

The answer to this is -3

Answer:59

Step-by-step explanation:

is y = -x3 + 4 linear or non linear

Answers

Answer:

It is a linear equation

If x=9 in what is the surface area of the geometric shape formed by this net?

Answers

Answer:

1134 in²

Step-by-step explanation:

Surface area is:

x²*2 + 3x*x*4 = 14x²

Substitute x:

14x² = 14*9² = 1134 in²

a company declared a dividend of $1.50 per share. john has 600 shares in the company. how much will she get?​

Answers

Answer:

$900

Step-by-step explanation:

So if each individual share is $1.50 we can presume that we need to multiply both factors. 1 x 600 is 600 and .50 x 600 is 300. 600 + 300 = 900. John will get $900 in shares profit.

Benito runs 1/10 of a mile each day. which shows how to find the number of days it will take for benito to run 3/5 of a mile

Answers

I would say  divide 3/5 by 1/10

Need help ASAP. Just solve what you can and make sure to tell me what is what.

100 POINTS

Answers

Answer:

9x3+5x2=37

8-(7-5)^2+8=12

10-3+5+5x4=32

ill solve rest in comments

9x3+5x2=37

8-(7-5)^2+8=12

10-3+5+5x4=32


b) A car priced at $3600 is reduced by 25%.
What is the reduced price?

Answers

3600:25 =144

reduced price is 144$

−2.2⋅(−2)÷(−
4
1

)⋅5

Answers

Step-by-step explanation:

la respuesta no es correcta porque es falsa

Ralph receive money from his family members for his graduation. He decides he wants to spent no more than $120 on movies to bring with him to college.

Answers

What’s the question?

I need the answer asap!!

Answers

Answer:

Step-by-step explanation:

x² × 2x² = 2x^4 (2x to the power of 4)

x² × -3x = -3x³

+3 × 2x² = 6x²

+3 × -3x = -9x

2x^4    ,     -3x³    ,   6x²,      -9x

In bold are the bottom two

Samuel brought a new bile for $350. Each year the value of the bike decreases by 12%. Find the value of the bike at the end of 5 years?

Answers

Answer:

$140

Step-by-step explanation:

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