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

Use the question below to answer the conditional probability question.

Answers

The answer should be 75/100

Explanation: there are a total of 100 employees so that is the denominator. And we are trying to find the probability of people who are married and/or have a child. We know that 75 are married and 57 have at least one child meaning 57 out of the 75 have a child. So 75 is the numerator bc it accounts for those who are married and have a child. Hope that helps!

A is the point with coordinates (x, 2y).
B is the point with coordinates (3x, 4y).
The midpoint of AB has coordinates (-4, 15).
Work out the values of x and y.​

Answers

Answer:

x= -2 , y=5

Step-by-step explanation:

(x+3x)/2 = -4

4x/2 = -4

4x= -8

x = -2

(2y+4y)/2=15

6y/2=15

6y=30

y=5

Nine split into four groups is two, with a ___ of one.

Answers

Nine split into four groups is two, with a remainder of one.

Pls help if you only know the correct answer! Thanks! :)

Answers

Answer:

A. -3/5 B. 1/5. C. 0.8.

Step-by-step explanation:

Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.

HELP ME WITH THIS pLEASE ILL MARK U THE BRAINLIEST

Answers

For the second question I got $2.34
1% of 20 = 0.20
3% = 0.20 x 3
= 0.60
Answer is A

What is the cube root of 216xy18?
O 4xy
O 6xy
O 72xBy15
O 213x®y 15

Answers

the answer is the second one

The area of a playground is 5 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.

Answers

Answer:

The area of a playground is 20 square yards. The length of the playground is 5 times longer than its width. Find the length and width of the playground.

length = 1 yd, width = 20 yd

length = 2 yd, width = 10 yd

length = 10 yd, width = 2 yd

length = 20 yd, width = 1 y

Which is the graph of the linear inequality 1/2x - 2y > -6?

Answers

Answer: almost there

Step-by-step explanation: bring the 2 up

A shooting star forms a right triangle with the Earth and the Sun, as shown below:

A right triangle is shown with the vertices labeled Earth, Sun, and Shooting Star. The angle formed by the Sun is labeled x deg

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star. (10 points)

NO LINKS OR ABSURD ANSWERS

Answers

The distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

How to calculate the distance?

Fist of all, we would assign variables to the distance between these astronomical objects as follows:

Let EM be the distance between the Shooting Star and planet Earth.Let y be the distance between the Sun and the Shooting Star.

Since the triangle is right-angled, we would use the sine trigonometry to determine the value of the distance between the Sun and the Shooting Star:

Sinθ = Opp/Hyp

Sinθ = EM/y

EM = y × Sinθ

Therefore, the distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

Read more on right triangle here: https://brainly.com/question/12955901

#SPJ1

Solve for x.

5(x – 10) = 30 – 15x

Answers

Answer:

x=4

Step-by-step explanation:

[tex]\sf 5(x - 10) = 30 - 15x[/tex]

[tex]\sf 5x-50=30-15x[/tex]

[tex]\sf 5x-50+50=30-15x+50[/tex]

[tex]\sf 5x=-15x+80[/tex]

[tex]\sf 5x+15x=-15x+80+15x[/tex]

[tex]\sf 20x=80[/tex]

[tex]\sf \frac{20x}{20}=\frac{80}{20}[/tex]

[tex]\sf x=4[/tex]

A number greater than 4 is rolled on a six-sided number cube. What is the probability of the complement of this event? Express your answer as a fraction in simplest form.

Answers

Answer:    2/3

===========================================================

Explanation:

set A = dice values greater than 4 = {5,6}

set B = dice values 4 or less = {1,2,3,4}

Sets A and B are considered complementary because one or the other must happen. You must either roll something larger than 4 (set A) or you must roll something from set B.

There are 4 items in set B out of 6 possible outcomes. That leads us to the answer 4/6 = 2/3

602.88 rounded to 2 decimal place is ?​

Answers

Answer:

it will be 603.00

it will. e counted from the right to the left

If someone were to have 300 feet of fencing, what is the maximum area they can enclose?

Answers

Answer:

I think it would be 5,625ft^2?

Step-by-step explanation:

300÷4=75

75×75=5,625

please help!!!!!!!!!!!

Answers

Q(1,5) R(3,-1) S(0,0) T(-2,3)

Answer:

Q(1,5)

R(3,-1)

S(0,0)

T(-2,3)

Please give brainiest?

A square has the same perimeter as a triangle. The triangle's area is 16 root 3. What is the hypotenuse of the square?

Answers

Answer:

12\sqrt{2}

Step-by-step explanation:

To get the hypotenuse, first we need to get the side length of the square

Area of the square = L²

16\sqrt{3} = L²

L = 4×3

L = 12

Using pythagiras theorem to get the hypotenuse

Hyp² = 12²+12²

Hyp² = 144+144

Hyp² = 288

Hyp = \sqrt {288}

Hyp = 12\sqrt{2}

Hence the hypotenuse of the square is 12\sqrt{2}

Just look at the directions brainliest and thanks!

Answers

Answer:

b) Yes. Because it grows linearly, and have the proportions of 3. For each x you have an y 3 times bigger

Step-by-step explanation:

a) Okay, I cannot draw it right now, but I can explain how you'll do it. First step: draw a point on x=1 and y=3. Second step: draw another point on x=5 and y=15. Third step: pick your rule and make a straight line in these two points. It's done :)

BRAINLIEST IF CORRECT

Generating random samples.

Answers

Answer:

1st and 3rd answer

Step-by-step explanation:

1st answer - Having a sample that is not random does not allow you to generalize the results of the experiment/study to the population because it is not representative of the population in the first place.

3rd answer - The definition of a random sample is that each member of the population has an equal chance of being selected.

Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $30 per hour and adds $5 for his sales bonus. He's decided that he wanted to take one-fifth of his weekly pay and place it in his savings. Which simplified expression represents the amount that will go into his savings each week?

Answers

Answer:

6h + 1

Step-by-step explanation:

number of hours: h

pay per hour: 30

pay for the hours: 30h

add sales bonus: 30h + 5

1/5 of total above: (1/5)(30h + 5) = 6h + 1

Answer: 6h + 1

To solve for the missing length, which operation should you perform?

Answers

Answer:

? = 15 yards

Step-by-step explanation:

h² + b² = ?²

9² + 12² = ?²

81 + 144

225

√225 = 15

Answer:

Pythagorean theorem

Step-by-step explanation:

You should use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2+ 12^2 = ?^2

81 +144 = ?^2

225 = ?^2

Take the square root of each side

sqrt(225) = sqrt(?^2)

15 =?

pls help math pls pls​

Answers

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

what is the solution to the system of equations

Answers

Answer:

O  A. [tex](-1,2)[/tex]

Step-by-step explanation:

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

[tex]2=-1+3[/tex]

[tex]2=2[/tex]

[tex]y=-x+1[/tex]

[tex]2=-1+1[/tex]            Since two -x's are being used, x becomes positive!

2 = 1 + 1

2 = 2

Solution: (-1, 2)

pls help with both of them
will give brainliest and everything​

Answers

Volume of cylinder is π r^2h
So π (1.3)^2(4.83)
Why 1.3 but not 2.6 though? Because 2.6 is the diameter, to find the radius, divide the diameter by 2, so 1.3.
And so the volume of the cylinder is 29.74083in^3 or 29.74in^3 rounded to the nearest hundredth.
The volume for a triangular prism is
(bh/2)h, or (base•height/2)height.
So to find the base, take the length and width and times it.
3 1/2•1=3 1/2
The base is 3 1/2, or 3.5 inches. The height is given as 4 inches.
(3.5•4/2)4=28
The volume of the triangular prism is 28 in^3

URGENT PLZ HELP: Graph y = tanx for -pi/4 ≤ x ≤ x/4.
What is the range?

Answers

I believe that the answer is D) all real numbers.

a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?​

Answers

Answer:

8 1/2

because 3 + 5= 8+ 1/2= 8 1/2

plz help I really don’t understand this

Answers

Answer:

[tex]OP=3.6[/tex]

Step-by-step explanation:

Since OP is parallel to LM, the two triangles are similar, because they share all three angles. By definition, the corresponding sides of a similar polygon must be in a constant proportion.

Thus, we have:

[tex]\frac{6}{6+4}=\frac{OP}{6},\\10\cdot OP=36,\\OP=\frac{36}{10}=\boxed{3.6}[/tex]

solve it : -

[tex] \sqrt{6 \times 24} [/tex]
_______​

Answers

Answer:

12

Step-by-step explanation:

sqrt(6*24)

sqrt(144)

sqrt(12*12)

12

Answer:

12

Step-by-step explanation:

6×24=144

Sq. Root of 144=12

hey there, please help me. thank you

Answers

Answer:

S.S.S

Step-by-step explanation:

When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .

hope it is helpful to you

What additional information is needed to prove the triangles congruent by SSS

Answers

Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation:

х
4
16
Find the exact value of x.
=

Answers

Answer:

The value of x is 8

Step-by-step explanation:

 

A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to the nearest tenth of a mile?

Answers

Answer: [tex]17.4\ \text{miles}[/tex]

Step-by-step explanation:

Given

A plane has traveled 26 miles on a course heading [tex]48^{\circ}[/tex] east of north

Taking the component of travel in North direction

The distance traveled in North is given by with the help of figure

[tex]\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}[/tex]

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