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

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! :)

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.

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

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]

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:

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

Answers

Answer:

The answer is 2(23x+4).

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

Need help, please help me ASPA!!!

Answers

Answer:

35 degrees

Step-by-step explanation:

35 degrees is your answer

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.

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°

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

Any answers for this question?

Answers

Answer:

1. - A; 2. - A.

Step-by-step explanation:

'1' = '1' = 8 / √2 = 4√2.

Helppp plzzzzz pointttttts

Answers

Answer:

AD & BE

Step-by-step explanation:

1) AB+BD = AD

2)BC+CE = BE

-4х + 5y=— 28
4x – 3y = 20

Answers

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

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

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°

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

HELP ASAP- IF YOU ARE CORRECT I WILL MARK BRAINLY

Answers

The Answer is:

B) -3/2

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.

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

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


What is point A on the coordinate plane

Answers

Answer:

4,1

Step-by-step explanation:

Answer:

(4,1)

Step-by-step explanation:

Ez

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 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]

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!


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

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

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

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.

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