There were 54 runners to start a race. In the first half of the race, 1/3 of them dropped out. In the second half of the race, 5/6 of the remaining runners dropped out. How many runners finished the race?

Answers

Answer 1

Answer:

6 runners finished the race

Step-by-step explanation:

Total number of runners = 54

In the first half of the race, 1/3 of them dropped out

= 1/3 of 54

= 1/3 * 54

= 54/3

= 18 runners

Runners remaining after first half = total runners - dropped out runners at first half

= 54 - 18

= 36 runners

In the second half of the race, 5/6 of the remaining runners dropped out

= 5/6 * 36

= (5*36)/6

= 180/6

= 30 runners

Runners remaining after second half = runners remaining after first half - dropped out runners at second half

=36 - 30

= 6 runners

Therefore, 6 runners finished the race


Related Questions

Becca solved the division problem 1.8 ÷ 0.3. Her work is shown below. Long division problem showing one and eight-tenths divided by three-tenths equals six-tenths Part A Use the drop-down menus to explain the mistake Becca made. Becca should have the dividend and the divisor by and moved the decimal point in the quotient to the .

Answers

Answer and Step-by-step explanation:

The complete options to choose from in order to explain her mistake are not shown, therefore I'll solve the problem generally.

To solve 1.8/0.3 easily we multiply but numerator and denominator by 10

(1.8*10)/(0.3*10) = 18/3 = 6

The dividend and the divisor should have been multiplied by 10 and the decimal point in the quotient should have been shifted to the right by Becca.

Both the dividend and the divisor must be changed such that there are no decimal places in the divisor before dividing decimals. Becca made a mistake by not taking this change into account.

Becca needed to multiply both the dividend (1.8) and the divisor (0.3) by 10 to get rid of the decimal places in order to divide 1.8 by 0.3 correctly. As a result, the issue would change to 18 3.

When the division is done properly, we see that 18 3 equals 6, leaving no residual.

Therefore, Becca made a mistake by failing to multiply both the dividend and the divisor by 10.

For similar questions on division

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Help me with this problem

Answers

the answer is 60 since the other shape has same answer for that side

Answer: x=60

Step-by-step explanation:

Hey! X would be 60 because the diagram on the left has proportions of 6/6. The diagram on the right has a porportion of x/60.  We want the proportions to be equal so it has to be 60!

6/6 = 1

60/60 = 1 (they are now equal and have equal proportions!)

help pls

The quantities I and y are proportional.
y
12
36
18.
54.
25
75
Find the constant of proportionality (7") in the equation y = rx.

Answers

cevap:y=5 inşallah faydalı cevaptır

Decide if each expression is equivalent to 2^6 or 4^4

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2^6 = 2\times2\times2\times2\times2\times2}\\\mathsf{2\times2\times2\times2\times2\times2}\\\mathsf{2\times2=4}\\\mathsf{4\times4\times4}\\\mathsf{4\times4=16}\\\large\mathsf{16\times4=64}\\\mathsf{2^6 = \bf{64}}[/tex]

[tex]\mathsf{4^4=4\times4\times4\times4}\\\mathsf{4\times4\times4\times4}\\\mathsf{4\times4=16}\\\mathsf{16\times16}\\\mathsf{16\times16=256}\\\mathsf{4^4=\bf{256}}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: 64\neq 256}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP!!! 7TH GRADE PRE ALGEBRA!!
WILL MARK BRAINLIEST IF CORRECT!

The areas of the squares adjacent to two sides of a right triangle are shown below.

35
units
2
35 units
2

50
units
2
50 units
2

?
units
2
? units
2

What is the area of the square adjacent to the third side of the triangle?

units
2
2
squared

Answers

Answer:

50 units.

Step-by-step explanation:

What’s a sentence that uses the word deficit? I’m having trouble thinking of some.

Answers

Answer:

We will reduce the federal budget deficit.

Step-by-step explanation:

What is 0.4 in fraction form?

Answers

Answer: 4/10

Step-by-step explanation:

4/10

Let's check

[tex]\\ \rm\rightarrowtail 0.4[/tex]

[tex]\\ \rm\rightarrowtail 4/10[/tex]

[tex]\\ \rm\rightarrowtail 2/5[/tex]

Caroline rolls a fair dice 480 times. How many times would Caroline expect to roll a six?

PLSSS ANSWER

Answers

a fair die has 6 sides so a 1/6 chance for each number
So divide 480/6= 80
80 times for each number, 80 for 6

Since the dice is fair, each number (1 through 6) has an equal probability of appearing on each roll. The probability of rolling a six on any one roll is 1/6. Hence, 1/6 times of 480 is 80 times.

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.

To find the expected number of times Caroline would roll a six, we can use the formula:

Expected number of occurrences = Probability of occurrence x Number of trials

In this case, the probability of rolling a six is 1/6, and the number of trials is 480. Therefore, the expected number of times Caroline would roll a six is:

Expected number of times = (1/6) x 480 = 80

Therefore, Caroline would expect to roll a six 80 times out of 480 rolls.

Find more on probability:

https://brainly.com/question/30034780

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add 3 to h, then subtract 9 from the result

Answers

Answer:

3h-9

Step-by-step explanation:

you can't fit it into an equation because 1, i dont  a image of it and 2, you can't subtract a number from a coefficient/variable

Need a little with this math Question

Answers

Answer:

it would be the third one ( 0,3)

Helpppppppp plssssssssssssss

Answers

Answer:

its the first one

Step-by-step explanation:

if the fractions have the same denominator, all you have to do is add the numerators across.

Answer:

A

Step-by-step explanation:

Slow down, take a breath.

All of the fractions have the denominator of 12 so you dont need to worry about finding a common denominator.

this is simple addition:

1+5+5=11, simple as that

i hope this helps u!

remember to stop and think,

pls give thx and brainliest

si juan tiene 7 manzanas y le da 5 a jose ¿cuantas manzanas le quedan a juan?​

Answers

Answer:

2

Step-by-step explanation:

por que el le dio 5 manzanas a jose y le quedaron 2

Can someone pleaseeee help and if you’re correct I’ll give u brainlist!

Answers

Answer:

Rotations, Reflections

Step-by-step explanation:

This is going to be our answer because we know that a figure has some kind of rotation.

A rotation is when a shape can be rotated in some way. A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection map every point of a figure to an image across a fixed-line.

So our answer would be Rotations, Reflections!

Hope this helps!

If it is correct please mark as Brainllest!

Have a good Day!

Factor.

64x2−25y2



Enter your answer in the box.

Answers

Answer:

(8x-5y)(8x+5y)

Step-by-step explanation:

Using the square principal because the square root of 64x2 is 8x and the square root of 25y2 is 5y and +- because +times- is only minus and the equation is minus.

Write an equation, in standard form, using the following given info: M = 10
and it passes through the point (6,2) *
-10x + y = -58
-10x + y = 58. -10x - y = -58
10x + y = -58

Answers

Given:

m = 10

The line passes through the point (6,2).

To find:

The equation of line in the standard form.

Solution:

If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (6,2) and m = 10. So, the equation of line is

[tex]y-2=10(x-6)[/tex]

[tex]y-2=10x-60[/tex]

[tex]y-10x=-60+2[/tex]

[tex]-10x+y=-58[/tex]

Therefore, the correct option is A.

Hong Wu means what?

great ruler
leader of peasants
father of dynasties
vast military power

Answers

Answer:

Hong Wu means...

Step-by-step explanation:

The last one

Answer:

Its D

Step-by-step explanation:

Which graph represents the solution for the equation 1/2 x - 1 = -x + 2?

Answers

Answer:

b

Step-by-step explanation:

x=2

Answer:

b

Step-by-step explanation:

The heights of the three tallest boys in a fifth–grade class are 1.575 m, 1.526 m, and 1.474 m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?
answers
1.57 m
1.48 m
1.52 m
1.47 m

Answers

Answer:

D. 1.47

Step-by-step explanation:

Answer:

1.47

Step-by-step explanation:

Three times a larger number is 30 more than 5 times a smaller number. The sum of the larger number and 5 times the smaller number is 50

Answers

Answer: Smaller number = 6

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

From equation ii

y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

3y = 5x + 30

3(50 - 5x) = 5x + 30

150 - 15x = 5x + 30

150 - 30 = 5x + 15x

120 = 20x

x = 120/20

x = 6

The smaller number is 6

Note that y + 5x = 50

y + 5(6) = 50

y + 30 = 50

y = 50 - 30

y = 20

The bigger number is 20

A local contractor was hired to build a shed. The shed was to be 6 metres wide by 8
metres long. He showed up on Monday morning to build the shed. When the
homeowner came home after work on Monday the four walls of the shed were in
place, but they did not look even. How could the homeowner check that the walls
were in fact square?

Answers

Answer:

use a tape messure and measure it lol sorry i just had to do it

Step-by-step explanation:

need help on this question please help

Answers

Answer:

52

Step-by-step explanation:

Give Brainlest

24y-32 pls help ill give you 10 points

Answers

Answer:

8(3y-4)

hope this help :)

Jillian has a doctor appointment at 10:20 a.M. If she takes 1 hour and 25 minutes to shower and dress, 25 minutes to eat breakfast and 30 minutes to drive to the doctor's office, what time should she wake up?

Answers

Answer:

she wake up at 8:00 AM

Step-by-step explanation:

The time she should wake up is

If she takes 1 hour and 25 minutes for shower & dress

25 minutes for breakfast

30 minutes to drive

So total time she takes 140 minutes i.e. 2 hours 20 minutes

So she wake up at 8:00 AM

The same would be considered

Answer: 8:00 am

Step-by-step explanation: first you take 10:20 am, then you subtract 30min. then 25min. then an 1:25 you get 8:00am.

first to answer gets brainleist! and 15-20 points ! ! i only need answers no step by step

Answers

Use a fraction calculator 16/32

Work out the ratio of 40 centimetres to 2 metres give your ratio in its simplest form

Answers

Given:

Ratio of 40 centimeters to 2 metre.

To find:

The ratio in its simplest form.

Solution:

We know that,

1 m = 100 cm

2 m = 200 cm

We have, ratio of 40 centimeters to 2 metre.

[tex]Ratio=\dfrac{40\ cm}{2\ m}[/tex]

[tex]Ratio=\dfrac{40\ cm}{200\ cm}[/tex]

[tex]Ratio=\dfrac{40}{200}[/tex]

[tex]Ratio=\dfrac{1}{5}[/tex]

[tex]Ratio=1:5[/tex]

Therefore, the required ratio in the simplified form is 1:5.

it would be nice if someone can help me. i’m failing school and i really need help. thank you:).

Answers

Answer:

only C is non-linear

Step-by-step explanation:

A linear equation is of the form;

y = mx + c

we have single powers of x and y; also, there is no product of x and y

Thus, we have;

a; 12x + 3y = 7

y =( -12x + 7)/3

this shows we have a linear equation

b. y + x = 4x + 5

y = 4x-x + 5

y = 3x + 5

This is a linear equation

c. y = 8/x^2

This is non-linear; we already have one power of x as 2

What is "five thousand, six" in standard form?

Answers

Answer:

5,006 :)

Step-by-step explanation:

The binomial (x+2) is a factor of ?

1). 2x^{2} -5+3
2). x^{2} +5x+18
3). x^{3} +5x^{2} + 18
4). x^{3} +5x+18

Answers

Answer:

4). [tex] x^{3} +5x+18 [/tex]

Step-by-step explanation:

The binomial (x+2) is a factor of [tex] x^{3} +5x+18. [/tex]

Since, (x + 2) is a factor.

So, x = - 2 is a root

Plug x = - 2 in [tex] x^{3} +5x+18 [/tex]

We find:

[tex] x^{3} +5x+18 [/tex]

[tex] =(-2)^{3} +5(-2)+18 [/tex]

[tex] =-8 - 10+18 [/tex]

[tex] = - 18+18 [/tex]

[tex] = 0 [/tex]

Since, at x = - 2 the value of the expression [tex] x^{3} +5x+18 [/tex] becomes zero.

Therefore, (x + 2) is a factor of [tex] x^{3} +5x+18 [/tex]

Solve the system by substitution.
y = -3x +4
y = 2

Answers

Answer:

(2/3,2)

Step-by-step explanation:

3*2/3+4

simplify  2=2

A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.

Answers

Answer:

10.99

Step-by-step explanation:

Your pretty much just multiplying the number by 3.14, so 3.5*3.14=10.99. Hope this helps!

Answer:

Answer B 11m

Step-by-step explanation:

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