A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?

Answers

Answer 1

Answer:

35 metres

Step-by-step explanation:

The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second

Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.

time taken by A = [tex]\frac{D}{1.25}[/tex]

time taken by B = [tex]\frac{D-7}{1}[/tex]

equating both together, we have

[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]

1.25D  - 8.75 = D

1.25D - D = 8.75

0.25D = 8.75

D = 8.75/0.25

D = 35


Related Questions

HELP ASAP- IF YOU ARE CORRECT I WILL MARK BRAINLY

Answers

The Answer is:

B) -3/2

What is the length of a diagonal of a rectangle 9m long and 5m wide?

Answers

Pythagorean Theorem: a^2 + b^2 = c^2

(5)^2 + (9)^2 = c^2
25 + 81 = c^2
106 = c^2
c = square root of 106

Length of a diagonal of a rectangle is square root of 106.

Factor the following expression.
12x2 + 22x + 8

Answers

Answer:

The answer is 2(23x+4).

maybe - 2(2x+1) (3x+4)

Helppp plzzzzz pointttttts

Answers

Answer:

AD & BE

Step-by-step explanation:

1) AB+BD = AD

2)BC+CE = BE

the measure of the supplement of an angle is 39° more then the angle. find the measure of the angle and it’s supplement.

Answers

Step-by-step explanation:

s = a+39

s+a = 180

a+39+a = 180

2a = 180-39

2a = 141

the angle = 70.5°

the supplement = 109.5°

can someone please answer

Answers

Answer:

x =62

Step-by-step explanation:

The two angles form a straight line so they add to 180

x+118 = 180

Subtract 118 from each side

x = 180-118

x =62

Answer:

x = 62°

Step-by-step explanation:

These both angles are located at straight line.

So, the sum of both angles is 180 °.

x + 118 ° = 180 °

Subtract 118 ° from 180 °

x = 180 ° - 118 °

x = 62 °

Hi there. May you please help if you can!

A(-4, 1), B(1, 5), C(4, -3), and D(-2, -3) are the vertices of a quadrilateral. Determine the coordinates of the image vertices after each transformation of ABCD. a) a reflection in the x-axis b) a reflection in the y-axis c) a rotation of 180° cw about the origin d) a rotation of 270° cw about the origin

Show your work

Answers

Answer:

hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch

-4х + 5y=— 28
4x – 3y = 20

Answers

I hope it's correct and it helps I don't know how to explain it lol

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

[tex]\sqrt{399}[/tex] or 19.97 but if you round to nearest tenth it is 20

Step-by-step explanation:

using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex]

substitute the values of 1 for a, leave b since we do not know it, and 20 for c.

So we have

[tex]1^{2}+b^{2}=20^{2}\\1+b^{2}=400\\[/tex]

Solve for b,

[tex]b^{2}=399\\b=\sqrt{399}[/tex]

Answer:

20

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=20^2

1+b^2=400

-1 -1

b^2=399

then take the square root of both and get 19.97498436

and after that, u round to the nearest 10th and get 20

hope this helps

Answer Please
...................................................................

Answers

Answer:

Step-by-step explanation:

In rectangle , diagonals are equal and bisect each other.

FI = EI

6x - 5 = 2x + 7  {subtract 2x from both side}

6x - 2x -5 = 7

       4x - 5 = 7     {Add 5 to both sides}

           4x  = 7 +5

           4x = 12 {Divide bot sides by 4}

            x = 12/4

x = 3

EI = 2x + 7 = 2*3 +7 = 6 +7

EI = 13 units

EG = 2 *EI = 13 * 2

EG = 26 units

ΔFIG is an isosceles triangle.

IGF = ∠IFG = x

x +  x + 120 = 180  {Angle sum property}

2x + 120 = 180 {Subtract 120 form both sides}

       2x   = 180 - 120

       2x = 60

         x = 60/2

         x = 30

∠IGF = ∠IFG = 30

EH // FG   and FH is transversal.

∠IHE = ∠IFG    {Alternate interior angles}

∠IHE = 30°

PLEASE HELPP
64, 16, 4, 1 converging or diverging

Answers

Answer:

The series 64, 16, 4, 1 is convergent.

Step-by-step explanation:

Let be [tex]\{x_{1}, x_{2},...,x_{n}\}[/tex] the set of values of the series. A series is convergent if and only if:

[tex]\frac{x_{i + 1}}{x_{i}} < 1, \, \forall\,i\in \mathbb{N}[/tex] (1)

If we know that [tex]x_{1} = 64[/tex], [tex]x_{2} = 16[/tex], [tex]x_{3} = 4[/tex] and [tex]x_{4} = 1[/tex], then the convergence ratio of each pair of consecutive values are, respectively:

[tex]\frac{x_{2}}{x_{1}} = \frac{1}{4}[/tex], [tex]\frac{x_{3}}{x_{2}} = \frac{1}{4}[/tex], [tex]\frac{x_{4}}{x_{3}} = \frac{1}{4}[/tex]

Hence, the series 64, 16, 4, 1 is convergent.


A supermarket sells various brands of peanut butter.
• Brand A costs $1.92 per jar, and each jar contains 12 ounces.
• Brand B costs $2.40 per jar, and each jar contains 16 ounces.
Which brand costs less per ounce

Answers

The second one. Cause the first one is .64$ per 4oz and the second one is .60$ per oz

24 karat gold is 100% gold. How pure is 8 karat gold?

Answers

Answer:

branllest if right

60%

Step-by-step explanation:

Answer:

Your answer is 33.3% as 8 goes into 24 3 times, then 100 - 33.3(repeating)% should equal 100 percent

Step-by-step explanation:

All you have to do is divide 8/24, and convert it into a percent, by moving the decimal twice to the right.


What is point A on the coordinate plane

Answers

Answer:

4,1

Step-by-step explanation:

Answer:

(4,1)

Step-by-step explanation:

Ez

If k = -18 and m = 7, what is m - k?
Submit

Answers

Answer:

5

Step-by-step explanation:

Evaluate and substitute:

Sqrt of 7 - (-18)

Sqrt of 7 + 18 = 25

Sqrt of 25 = 5

Therefore, our answer!

Hope this helps, best of luck! :p

Need help, please help me ASPA!!!

Answers

Answer:

35 degrees

Step-by-step explanation:

35 degrees is your answer

Any answers for this question?

Answers

Answer:

1. - A; 2. - A.

Step-by-step explanation:

'1' = '1' = 8 / √2 = 4√2.

2. Your distant family has invited you to stay at the farm with them this summer.
Congrats! Your first task is to repaint the old silo. The radius of the silo is 15 feet. How
much area will you need to cover with your paint?

Answers

This is how much area you will need to cover

.
What is the solution set of 4x = y and 2x - y=0

Answers

Answer:

x = 0 , y = 0

Step-by-step explanation:

given:

  [tex]4x = y \\\\2x - y = 0\\\\Substitute \ y\ =\ 4x\ in \ second \ equation :\\2x - 4x = 0\\\\-2x = 0\\\\x = 0, \\y = 0[/tex]

Given the numbers 24 and 18 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest tenth (1 decimal place)

Answers

Answer: 30 inches

Hope this helps! :)

In a certain video game, players earn bonus points after finishing a
level. The number of bonus points is based on how many seconds, t,
it takes the player to finish the level. The game uses the expression
-5.5 + 500+ 0.9t + (1 - 1.9t to determine the number of bonus points. .
Zahara finishes a level in 201 seconds. How many bonus points does she earn?

Answers

Answer:

If Zahara finishes a level in 201 seconds, she earns:

294.5 points

Step-by-step explanation:

To identify the number of points that Zahara obtained when she finished a level in 201 seconds, you must use the given expression:

-5.5 + 500+ 0.9t + (1 - 1.9t)

Where:

t = time in seconds.

As Zahara took 201 seconds to finish a level, we're gonna replace this value in the equation:

-5.5 + 500+ 0.9t + (1 - 1.9t)-5.5 + 500+ 0.9(201) + (1 - 1.9[201]) (we're not use the unit "seconds", because we don't need it in this calculation)-5.5 + 500+ 180.9 + (1 - 381.9)-5.5 + 500+ 180.9 - 380.9 (You can organize the numbers is you want)500 + 180.9 - 380.9 - 5.5294.5 points

As you can see, Zahara obtains 294.5 points if she finishes the level in 201 seconds.

Select the rule for each piece. Rule for piece 1: Rule for piece 2:

Answers

Answer:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y = 2-x

Step-by-step explanation:

Please HELP ME ITS DUE IN A COUPLE OF MIN!!!

Fruits and vegetables are a great source and insoluble ________,which helps detoxify the body and in doing so helps prevent against cancer,diabetes and cardiovascular disease.

A.protein
B.fat
C.fiber
D. sugar

Answers

I think the answer is c
C. fiber

hope this helps j trust me ig

Wats the volume of this prism

Answers

180 units^3 that is your answer you multiply 6*5*12 to get 360 and divide that by 2

Please please help me with this

Answers

I think it is K, M, and L

Step-by-step explanation:

i think is k , m , l

bcause 4 is the smallest number,

and 12 is the biggest number.

Naomi requires 2.75 pounds of cream cheese for a cake. She has 4 ounces of cream cheese. Cream cheese is available in the store in blocks. Each block is 8 ounces. What is the minimum number of blocks of cream cheese Naomi has to buy? (1 point) 3 4 5 6

Answers

Answer:

5

Step-by-step explanation:

1 pound = 16 ounces

total ounces needed = 2.75 x 16 = 44 pounds

Ounces of cake she needs = 44 - 4 = 40

Minimum blocks needed = ounces needed / ounces of each block

40 / 8 = 5

What is the total surface area of the square pyramid? ​

Answers

Answer:

D

Step-by-step explanation:

[tex]A_1 = a^2 = 14^2 = 196[/tex]

[tex]A_2 = 4(\frac{b * h}{2}) = 4(\frac{14 * 12}{2}) = 4(\frac{168}{2}) = 4 * 84 = 336[/tex]

[tex]SA = A_1 + A_2 = 196 + 336 = 532\ cm^2[/tex]

Total area of composite figure

Answers

Answer:

Hello! answer: 99 units2

Step-by-step explanation:

9 × 6 = 54 9 × 10 = 90 90 ÷ 2 = 45

54 + 45 = 99 therefore the area is 99 units2 hope that helps!

Solve 7x-c=k for x
...........

Answers

Answer:

The value of x in given question will be [tex]x=\frac{k+c}{7}[/tex]

Step-by-step explanation:

Given data:

7x-c=k

Now,

7x-c=K

7x=K+c

[tex]x=\frac{k+c}{7}[/tex]

Therefore,

The value of x in given question will be : k+c/7

Add the following complex numbers:
(4-2i) + (12 + 7i)
O A. -8 + 9i
O B. 16 + 9i
O C. 16 + 5i
O D. -8 + 5i

Answers

Answer:

option c

Step-by-step explanation:

(4 - 2i) + (12 + 7i)

multiply the brackets first

4 - 2i + 12 + 7i

combine like terms

16 + 5i

Answer:

O C. 16+5i

Step-by-step explanation:

=(4+12) + (7i-2i)

=16+5i

Other Questions
Which line from the neighbor MOST directly supports thetheme of the story?The Reluctant Neighbor"I know I haven't been veryfriendly.By Clara Bohrod"Well, I guess I've takenself-reliance to an extreme."1 Coco was excited to meet her new neighbor, a tall, thinwoman with elegant gray hair. To welcome her, Cocoand her mother baked their special double chocolatecookies. As they rang their neighbor's doorbell, Cocoimagined how the woman's face would light up whenshe spied the yummy treats. After what seemed likeforever, the door creaked ajar, and the woman tilted herhead to peek through the crack"Since my husband's death,I've had to rely on myself, ...""But I'm perfectly capable oftaking care of my own yard,thanks just the same."1 of 8 One number is 9 times another. Their product is 27 times their sum. Find the numbers. A more efficient means of processing algae to produce an anticancer drug is discovered. As a result, the supply curve for the drug will: __________a. shift to the right, increasing the price of the drug. b. shift to the left, increasing the price of the drug. c. shift to the right, decreasing the price of the drug d. shift to the left, decreasing the price of the drug. Answer pleaseeeeee!!! Is 2/4 greater than 1/2 by a factor of 2, or are they the same number? 15 POINTS! PLEASE HELP! BRAINLIEST!What is the probability of flipping a coin 15 times and getting heads 6 times? Round your answer to the nearest tenth of a percent. O A. 19.6% O B. 9.2% O C. 4.2% O D. 15.3% SUBMIT Three wires meet at a junction. Wire 1 has a current of 0.40 A into the junction. The current of wire 2 is 0.57 A out of the junction. The current of wire 2 is 0.65 A out of the junction. Required:a. How many electrons per second move past a point in wire 3? b. In which direction do the electrons move -- into or out of the junction? im failing math rn and really need help so pls help. Find the value of xin the triangle shown below. Anca rolls two number cubes labelled 3 to 8. She adds the numbers that show on the cubes. List the possible outcomes. b) What is the probability of getting '13'? c) What is the probability of getting '21'? d) What result should occur the most? 1 "O! You that love mankind! You that dare oppose not only tyranny but the tyrant, stand forth! Every spot of the old world is overrun with oppression. Freedom hath been hunted around the globe. Asia and Africa have long expelled her. Europe regards her like a stranger, and England hath given her warning to depart. O! Receive the fugitive, and prepare in time an asylum for mankind." Thomas Paine, Common Sense, 1776 Paine refers to "her" throughout the quote. Who is HER? 1. Cual de las siguientes estructuras tiene el titulo *Los fantasmas tienen buena letra* ?opciones.a_ ST y PVSb_ SES y PVSc_SES y PVC??? doy corona a la priera respuesta correcta xfis Which of the following is a base used in DNA replication that is NOT used in translation?i need asap! Question: Solve for x. Which outcome is the most likely result of the government lowering taxes ona particular good?A. Supply of the good will increase.B. Supply of the good will decrease.C. Demand for the good will remain the same.D. Demand for the good will decrease. An athlete running the velocity 3m/s due east is confronted with two trade winds. One wind travelling at 10m/s in a direction north 65degrees east and another wind travelling at 8m/s in a direction south 70degrees east. Find the resultant velocity and direction of the athlete A capacitor is constructed of two large, identical, parallel metal plates separated by a small distance d. A battery fully charges the capacitor and is then disconnected. The plate separation is now increased to a distance of 2d. What would be the change, if any, of the voltage across the capacitor, the electric field between the plates, and the energy stored in the capacitor? What can countries do to prevent terrorism The sum of 69 and 42 is five more than the difference of 146 and a number. Calculate the value of the unknown number. Indicate whether a debit or credit decreases the normal balance of each of the following accounts. a. Landb. Service revenuec. Interest payabled. Accounts receivablee. Salaries expensesf. Common stockg. Prepaid insuranceh. Buildingi. Interest revenuej. Dividendsk. Unearned Revenuel. Accounts payable Helppppppppppppppppppppppppppp the question is post on my page