You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles per hour. He knows your best time is 3 miles per hour so he gives you a 3 mile lead. When will he catch you? How far behind are you when Mr. Fowles finishes the race? How much longer will it take for you to finish?

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Speed is the time rate of change of velocity, it is the ratio of distance to time.

Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:

speed = distance / time

time = distance / speed = 26 / 4.2 = 6.19 hour

I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:

time = distance / speed = 23 / 3 = 7.67 hour

a) Let d be the distance Mr Fowles catches me. Hence:

time = (d + 3)/4.2; also time = d/3

(d + 3)/4.2 = d/3

3d + 9 = 4.2d

1.2d = 9

d = 7.5 miles

He would catch me at 10.5 (7.5 + 3) miles from the starting point.

b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:

distance = 6.19 * 3 mi/hr = 18.57 mile

Distance behind = 23 mile - 18.57 = 4.43 mile

c) time longer = 7.67 hour - 6.19 hour = 1.48 hour


Related Questions

Help me please thanks

Answers

Answer:

5/6

Step-by-step explanation:

(-6 - 4) / (3 * -4)  [substitute a and b]

-10 / -12  [multiply the values in parenthesis]

5 / 6  [simplify by dividing by the common factor 2]

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]

helllllllpppppppppp!!!!!!!!

Answers

Answer:

i dont know

Step-by-step explanation:

.

In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier?

(6,4)
(7,7)
(2,12)
(0,1)

Answers

6,4 and or 8,7 should be the answer

The possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison.

How to determine the possible outlier

In this data set, we observe that data set observes the rule that first component increases inasmuch the second component of the ordered pairs decreases. Thus, the possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison. [tex]\blacksquare[/tex]

To learn more on ordered pairs, we kindly invite to check this verified question: https://brainly.com/question/11740961

A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit

Answers

Answer:

He is making 20 naira profit for every 4 cups that he sells for 100 naira

Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira

People use water to​ cook, clean, and drink every day. An estimate of 33.9​% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Answer:

23 gallons of water

Step-by-step explanation:

People use water to​ cook, clean, and drink every day. An estimate of 33.9​% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking​, how many gallons do they use every​ day?

This is calculated as:

33.9 % × 67.8 gallons of water

= 0.339 × 67.8 gallons of water

= 22.9842 gallons of water

Approximately = 23 gallons of water

Therefore, 23 gallons of water are used everyday for cooking

WILL GIVE BRAINLIEST IF GOTTEN RIGHT DONT ANSWER IF YOU DONT KNOW

Answers

Answer:

Option C: I and II

Step-by-step explanation:

When you look at the question, it says that BD and AE is correct.  When looking at the options we have to find which ones include BD and AE.  

A.  "I only"  This is incorrect because "I" is not the only answer with BD and AE.

B.   "III only"  This is also incorrect because "III" doesn't have AE.

C.   "I and II"  This is correct because both "I" and "II" have BD and AE.

D.   "I and III"  This is incorrect because it has only BD.

Pls Help!!!!! I will pick the brainiest answer as well. ;)

Answers

Answer:

49

Step-by-step explanation:

20+4=24 24+25=49

My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$

Answers

$6900

$5000+3.8%=$5190

$190x10=$1900

$5000+$1900=$6900

55 x 32 / 32
HELPPP GIVING BRAINLIEST

Answers

Answer:

55

Step-by-step explanation:

Just multiply then divide:

55 x 32 = 1760

1760 ÷ 32 = 55

Or just easier like:

55 x 32 ÷ 32 = 55

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

14. Solve for x.
110°
(8x - 1)
(5x + 36)
(6x-2)
(7x + 19)
116°

Answers

The value of x in the hexagon is 17.

How to find the angle of a hexagon?

A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.

Therefore, x can be found in the hexagon as follows:

we have to sum the whole angles to get x.

110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720

combine like terms

110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x  = 720

278 + 26x = 720

subtract 278 from both sides of the equation

278 + 26x = 720

278 - 278 + 26x = 720 - 278

26x = 442

divide both sides by 26

x = 442 / 26

x = 17

learn more on hexagon here: https://brainly.com/question/11994903

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please help________^​

Answers

Answer:

first answer

Step-by-step explanation:

It’s A !!!!!!!!!!!!!!! i

The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.

Answers

We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118

EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.


EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS

PLANOS.

Answers

Answer:

THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.

THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.

Step-by-step explanation:

This is what it says in english

Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth a=? b = 5, c = 12 what is A​

Answers

Answer:

Approximately 10.9

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

Plug in b (5) and c (12)

[tex]a^2+5^2=12^2\\a^2+25=144[/tex]

Subtract 25 from both sides

[tex]a^2+25-25=144-25\\a^2=119[/tex]

Take the square root of both sides

[tex]\sqrt{a^2} =\sqrt{119}[/tex]

a = approximately 10.9

I hope this helps!

Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 ​ )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4

Answers

Answer:

p = 1

Step-by-step explanation:

4 - 5(p + 3/5) = -4

Find P

4 - 5(p + 3/5) = -4

4 - 5p -15/5 = -4

4 - 5p - 3 = -4

-5p + 1 = -4

-5p = -4 - 1

-5p = -5

p = -5/-5

p = 1

Check:

4 - 5(p + 3/5) = -4

4 - 5(1 + 3/5) = -4

4 - 5 - 15/5 = -4

4 - 5 - 3 = -4

4 - 8 = -4

-4 = -4

Answer:

ITS HELLA 1/5 NOT 1

Step-by-step explanation:

>:(

Alex, x, saved 30 dollars and Ethan saved 1
3
more than that.
Ethan saved _______________ dollars

Answers

ethan saved 43 more dollars than alex

solve attached problem

Answers

Answer:

what is the dot for?

Step-by-step explanation:

2m² × 2m³

2×2 = 4

4m² × m³

= 4 m²+³

= 4m⁵

The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)​

Answers

Answer:

The walkway around the pool makes the entire outer dimensions (outer border)  

x+9+2x3=x+15  and  x+8+2x3

hope this helps!  could i get brainliest plz?

The expressions to represent the dimensions of the outside border of the walkway is  (x + 12) meters for the length and (x + 11) meters for the width.

Given area : [tex]x^2 + 17x + 72[/tex]

The factored form of the polynomial is:

[tex]x^2 + 17x + 72[/tex]  = [tex]x^2 + 8x+9x+72[/tex]

                      = x(x+8)+9(x + 8)

                          =(x + 9)(x + 8)

So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.

The length of the walkway = 3 meters wide

So, the length is added to each side of the pool.

Dimensions of the outside border of the walkway:

Length: (x + 9) + 3 = x + 12 meters

Width: (x + 8) + 3 = x + 11 meters

Therefore, the dimensions of the outside border of the walkway are

(x + 12) meters for the length and (x + 11) meters for the width.

Learn more about polynomials here:

https://brainly.com/question/11536910

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Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.

Answers

Respuesta:

183x + 356y = 3763

Explicación paso a paso:

Dejar :

Número de kilos de papel = x; número de kilos de cartón = y

Kilo de papel = 183; kilo de cartón = 356

Cantidad total ganada = 3763

(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)

(183 * x) + (356 * y) = 3763

183x + 356y = 3763

What is the mean of the data set?

Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20

Answers

Answer:

42

Step-by-step explanation:

Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416

then divide by total number of digits

(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)

41.6 rounded to 42


Miguel is building a picture frame for his friend who has painted a family portrait. Miguel is making a square frame for the painting. He purchased a 3 foot
pine board to build the frame. He used 21 inches of the board to make the frame. How much wood would be used to create 1 side of the frame?

Answers

36 minus 21 equal 15

Please help me solve :(((

Answers

Answer:

θ ≈ 15°

Step-by-step explanation:

Using the sine rule in the triangle

note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then

[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )

2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )

sinθ = [tex]\frac{756sin125}{2400}[/tex] , then

θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )

HELP ME !!
The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the y-intercept, and what does it mean in this context?

A)The y-intercept is 6.5 and represents the number of toys produced increases by about 6.5 for each $1 increase in cost.
B)
The y-intercept is 1500 and represents the costs $1500 to run the factory if no toys are produced.
C)The y-intercept is 1500 and represents The factory can produce 1500 toys at no cost.
D)The y-intercept is 6.5 and represents the cost increases by $6.50 for each toy produced.

Answers

Answer:

B

Step-by-step explanation:

This is because 6.5n is the slope and the +1500 is the y-intercept. Remember its y=mx+b.

Answer:

B

Step-by-step explanation:

Hope this helps have a great day :)

If Kate is traveling at 6 m/s and speeds up to 12 m/s in 3 seconds. What is Kate's acceleration?

Answers

Acceleration is 2.......

Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *

Answers

Answer:

40.00-30.98=x

an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation

Answers

Answer:

Step-by-step explanation:

A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?

Answers

Answer:

750

Step-by-step explanation:

pls help! right answer = gets brainiest

Answers

Answer:

2,4 because they are hitting each other at that point

Answer:

D

Step-by-step explanation:

The solution is where the the red and blue line intersect.


A circle has a diameter of 32 units. What is the area of the circle to the nearest hundredth of a square


Answers

Answer:

804.25 units²

Step-by-step explanation:

radius = diameter / 2

Area of a circle = πr²

radius = 32/2 = 16 cm

Area = (16)²π

Area = 256π = 804.247719

Area ≈ 804.25 units²

last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d

Answers

Answer:

E. 1d+0.015d

G. 1.015d

Step-by-step explanation:

A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.

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