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

DUE SOON PLEASE HELP

Answers

Answer:

Im pretty sure its 114 m^2 sorry if im wrong

Answer:

The total surface area of the figure would be 114m.

(i’ll mark brainliest if it’s correct )
Michael conducted a survey at his school. He asked 25 students what their favorite sport was. 10 of them answered football. Based on that survey, how many students out of 1,500 would prefer football?

Answers

25 x 60 = 1500
10 x 60 = 600
The answer is 600

Change the fraction 3/4 to a percent

Answers

Answer:

0.75

Step-by-step explanation:

what you do is divde 3 by 4 which equals to 0.75

Answer:

75%

Step-by-step explanation:

If your rounding 2 decimals. Hope this helps!

help solve please!!!!

Answers

Answer:

60 squared cm

Step-by-step explanation:

If half of the top of the shape is 3, that means the whole top is 6.

6 x 10 = 60

Area = Length x Width

So, 3cm is only half so I think it would have to be changed to 6cm to be the full width. Then, is length X width, so 6 X 10 meaning it would be 60cm^2, I think.

Find the discriminant. (Must Show Work)

x^2+4x+4=0

Answers

Answer:

0

Step-by-step explanation:

discriminant,b2-4ac

=4^2-4×1×4

=16-16=0

The perimeter of a rectangle is 52 cm and its area is 144 square centimeters. Find the dimensions of the rectangle.

Answers

Answer:

hello there how are you today

What is x-intercept of y=-3x+5

Answers

Answer:

To find x intercept, u graph it

the x intercept is 1.67

Step-by-step explanation:

SOLVE FOR X

plz this is like the 5th time i ask, plz don’t respond with links

Answers

Answer: I used the Pythagorean theorem and got 6.24, but if I was supposed to use another method, just let me know.

The formula is a^2+b^2=c^2

a=5

c=8

b=?

5^2+b^2=8^2

25+b^2=64

b^2=39

b=6.24,

(If it doesn't work, put x=6.24, x=-6.24. It can be both technically, but most teachers ask only for the first one. )

Two parallel lines are cut by a transversal as shown below.
Suppose m∠5 = 104°. Find m∠2 and m∠4.
m∠2 = _°
m∠4 = _°

Answers

Answer:

Angle 2 = Angle 4 = 76

Step-by-step explanation:

Here, we want to get the measures of angle 2 and angle 4

From what we have in the diagram, angle 2 and angle 5 are supplementary (meaning they add up to 180)

The reason for this is because both angles are same side interior angles

Thus,

angle 2 + angle 5 = 180

angle 2 = 180 - angle 5

angle 2 = 180 -104

angle 2 = 76

Furthermore, we can see that angle 2 equals angle 4 as they are vertically opposite angles

Thus, angle 2 = angle 4 = 76

60 centimeters every 2.5 years 30 centimeters every 15 months are these equivalent? I NEED IT MY TEST IS TOMORROW and I am just really stumped on this.

Answers

Answer:

Yes, they are equivalent

Step-by-step explanation:

15 months= 1.25 years

60/2.5= 24

30/1.25 = 24

Answer:

Step-by-step explanation:

Since 2.5 years equals 2.5(12)=30months you have

60cm/30mo and 30cm/15mo these are equivalent because (2/2)(30/15)=60/30

dis is for my friend to answer
A pool table supply company is making a cardboard box to package new cubes of pool cue chalk. Each cube of chalk is 1 cubic inch. The company considers all the ways to arrange 16 cubes of the chalk. (Which arrangement of chalk would require the most cardboard for the box?)
16 inches by 1 inch by 1 inch
8 inches by 2 inches by 1 inch
4 inches by 4 inches by 1 inch
4 inches by 2 inches by 2 inches

Answers

Answer:

-they all require the same amount of card board because if you take all of the numbers times eachother they all come out as 16

-Soo 16 inches by 1 inch by 1 inch

Step-by-step explanation: Hope this help :D

16 inches by 1 inch by 1 inch

Your answer would be D

I need help ring the center, radius, and diameter.

Answers

Answer:

(-2, 5), 6, 12

Step-by-step explanation:

Center: (-2, 5)

Radius: 6

Diameter: 12

Please help me with this question please...

Answers

135 is the measure of angle 3

What is the same as 7/3

Answers

Answer:

3.5/1.5 or 14/6

Step-by-step explanation:

equivalent

14/6 is also the same as 7/3

Mike 24 coins in nices and dimes they are valued at $2.05. how many DIMES does he have?​

Answers

Answer: He has 8 dimes

Step-by-step explanation:

Answer:

17 dimes

7 nickels

Step-by-step explanation:

n = number of nickels

d = number of dimes

0.10d + 0.05n = 2.05

n + d = 24, n = 24 - d

substitute for n:

0.10d + 0.05(24 - d) = 2.05

simplify:

0.10d + 1.20 - 0.05d = 2.05

0.05d = 0.85

d = 17

n = 24-17 = 7

please help !! What is the area of the trapezoid shown below?
4
5

Answers

Answer:

the area of the trapezoid is (8 + 4).3/2 = 18

Answer:

18

Step-by-step explanation:

khan

The bacteria in a culture double every day. Which function can be used to find the number of bacteria n after d days if there are initially 75 bacteria?
On=2(75)
O n = 75(g)
On = 75(2)
On= (75)"

Answers

Answer:

n = 75(2)^d

Step-by-step explanation:

Mathematically, we have the general form of an exponential equation as follows;

y = I(1 + r)^x

where I is the initial value

r is the rate percentage

x is the number of time

From the question, the bacteria population doubles

This mean it increases by 100%

100% = 1

add this to the initial 1, and we have 2

Replace I with the number 75

And d represents the days

so we have;

n = 75(2)^d

can someone pls help me with this and explain how to do it in a simple way I will mark you brainliest and give you a like along with 5 stars.​

Answers

Answer:

3.14

Step-by-step explanation:

Radius = 1

1^2 times pi = 1 pi

1 pi is about = 3.14

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=9°, and KL = 49 feet. Find the length of JK to the nearest tenth of a foot.

Answers

Answer:

in triangle KLJ

relationship between perpendicular and hypotenuse is given by sin angle

sin9°=p/h

sin9=KL/KJ

sin9=49/x

x=49/sin9=313.2

the length of JK to the nearest tenth of a foot is 313ft

Answer:

Step-by-step explanation:

313.2

I’m giving 30 points please help

Answers

Answer:

Triangle A

Step-by-step explanation:

Because in the picture it shows the grid and if you look closely you can see the points on the x and y axis, (3,2) (4,7) and (5,6) are the three points formed to make triangle A.

Evaluate b2c-1 for b = -4 and c = 2.

-8
4
8
32

Answers

Answer:

-8

the way you meant to write it was -4^2 x 2^-1

Step-by-step explanation:

Answer:

it is 8 but it's not negative 8

I tried negative 8 and it said it was wrong so it must be 8

the sum of the age of a boy and his sister is 32 years. The boy is 6 years older than his sister. How old is his sister?​

Answers

Answer:

26 is the correct answer

Answer:

His sister is 10?

Step-by-step explanation:

Because if he's 16 then she's 10

PLEASEEEEEE HELP!!
I WILL GIVE BRANLIEST TO CORRECT ANSWER

Answers

Use photomath it’s faster and you get correct Answers!<3 have a good day

Answer:

A = 3x^2 - 2x - 1

Step-by-step explanation:

3x times x equals 3x^2

(3x times - 1) + (x times 1) = -2x

1 times -1 = -1

put the partial products together, you get the above answer.

Shiva uses 8.2 pints of blue paint and white paint to paint her bedroom walls. 3/4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer: 2.05 pints

Step-by-step explanation:

Shiva used 8.2 pints in total to paint the bedroom.

3/4 of this was blue paint which means that the remaining 1/4 is white paint.

Pints of white paint used:

= Proportion of white paint * Total pints used

= 1/4 * 8.2

= 2.05 pints

The elevations, in miles, of three museums are marked on the number line below. Point O on the number line represents sea level. Which of the following statements is true? *

A. Museum A is at sea level and both museums B and C are above sea level.
B. Museum A is above sea level and Museum B is at sea level.
C. Both museums B and C are below sea level.
D. Museums A and B are below sea level.

Answers

Answer:

I would say C.

Step-by-step explanation:

Point A would be exactly at sea level while B and C are both under A

(sea level).

YOU JUST OPEN YOUR FIRST BUSINESS YOU HAVE RENT $1,000 YOUR FIRST ORDER OF PRODUCT WAS $10,000 YOU PHONE BILL IS $120 FOR 4 LINES, ELECTIRC BILL FOR THE FIRST MONTH IS $150, AND YOUR HEAT BILL IS $200 HOWEVER, SPRING IS NEAR SO YOU CAN CUT YOUR HEAT OFF. NOW ITS TIME TO PAY YOUR SELF AND EMPLOYEES. YOUR SALARY IS $5,000 EVERY OTHER WEEK AND YOU HAVE WAGES OF $20,000. .HOW MUCH IS YOUR TOTAL COST? *

Answers

Answer: $26,470

Step-by-step explanation:

Total costs are all the expenses that have to be paid by your business to keep it producing.

In this case that figure is:

Total cost = Rent + Phone bill + Electric bill + Heat bill + own salary + Wages

= 1,000 + 120 + 150 + 200 + 5,000 + 20,000

= $26,470

HELPPPP PLSSSSS!!! ILL GIVE BRAINLIEST IF ITS RIGHT

Answers

Answer:

752÷2= 376

52÷2÷ 26

376- 26= 350 adult tickets

376+26= 402 student tickets

Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared

Answers

Answer:

4. A = 1029 cm²

Steps:

A = (35×21)+(21+2×3.5)×21/2

A = 735 + (21+7)×21/2

A = 735 + 28×21/2

A = 735 + 588/2

A = 735 + 294

A = 1029 cm²

x^2y^-1 + y / a-xy^-1

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Screenshot below!

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Would the answer be 550.25?

Answers

I can’t really see the picture can you put another one so I can help you

Answer:

$52.50

Step-by-step explanation:

1. You take 550 and divide by 5.

2. Then you would takw that number (105) and multiply by 2 (210)

3. Then you take 210 and divide by 4 which equals 52.5

4. The answer is 52.5 because she takes 1/4 of the 2/5 for vacation a month.

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