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

What is the value of x?

Answers

95 I think hope this helps

Answer:

Step-by-step explanation:

Step One

Find the supplement of both exterior angles. They both have angles that add with them to make 180 degrees.

x + 105 = 180            Subtract 105 from both sides

x = 180 - 105

x = 75

y + 148 = 180            Subtract 148 from both sides

y = 180 - 148  

y = 32

Step Two

There are two ways to conclude the problem. You could find the value of the 3rd angle of the triangle, or you could notice that x is going to be the sum of the 2 angles you just found. These two angles are called the remote interior angle.

Method One

x = 32 + 75

x = 107

Method Two

32 + 75 + y = 180

107 + y = 180

y = 180 - 107

y = 73

The sum of x + 73 = 180

x = 180 - 73

x = 107

What is the probability that the spinner will land on either yellow (y) or green (g)?

A: 1/4.
B: 1/3.
C: 1/2.
D: 2/3.

Answers

Answer:

I believe it's 1/3

I haven't done these in a while, but basically since there is 6 places and it's asking the probability of it landing on 2 out of the 6, so the answer would be 2/6. Since the answer isn't there, just simpify. 2/6 simplified is 1/3. I'm so sorry if wrong, I haven't done this in a while!

It’s B because when you put the 2/6 and reduce it it’s 1/3

Customers can download books from an online bookstore for $8 each after paying $150 for an e-book reader. The total amount of money a customer spends on x books and the e-book reader can found using f(x)=8x+150.
What is the range of f in this situation?
A.All integers greater than or greater to 0
B.All real numbers greater than or equal to 150
C.(150,158,166,174,...)
D.(158,159,160,161,...)

Answers

Answer:C

Step-by-step explanation: (150,158,166,174,...)

Answer:

c

Step-by-step explanation:

it just is

Add.

(2x4+x3−4x2+3)+(4x4−2x3−x2+10x+2)



Express the answer in standard form.

Enter your answer in the box.

Answers

Answer: 6x^4-x^3-5x^2+10x+5.

Step-by-step explanation:

Answer:

See screenshot

Step-by-step explanation:

4x – y = 7 3y – 12x = –21

Answers

Answer:

y=4x-7   3(4x-7)-21x=-21     12x-21-12x=-21 -21=-21

Step-by-step explanation:

Step: Solve
4
x

y
=
7
for y:
4
x

y
=
7
4
x

y
+

4
x
=
7
+

4
x
(Add -4x to both sides)

y
=

4
x
+
7

y

1
=

4
x
+
7

1
(Divide both sides by -1)
y
=
4
x

7

Step: Substitute
4
x

7
for
y
in

12
x
+
3
y
=

21
:

12
x
+
3
y
=

21

12
x
+
3
(
4
x

7
)
=

21

21
=

21
(Simplify both sides of the equation)

21
+
21
=

21
+
21
(Add 21 to both sides)
0
=
0

Limone's Lemonade Corp. has a savings plan for its employees. If an employee makes an initial contribution of $1,000.00, the company pays 8% interest compounded quarterly. What is the value of the account after 5 years?

Answers

Answer: I don't know

Step-by-step explanation:The annual interest rate is 5%, and the interest accrues at a compounding rate for five years. To calculate the monthly interest, simply divide the annual interest rate by 12 months. The resulting monthly interest rate is 0.417%

Find the percent of increase to the nearest whole percent from 12 to 20? Please help

Answers

Amount of increase = 20-12 = 8
Percentage increase = 8/12 = 0.666... 66.666...% ≈ 67%

What is the equation of the line that has a
slope of 5 and a y-intercept of -1?

Answers

Step-by-step explanation:

y= mx+b

where m is the slope , and b is the y intercept

y= 5x -1

Desiree went bowling. It was $4 to rent the shoes and $3.25 per game. If she spent a total of $30 how many games did she bowl?

Answers

Answer:

3.25x + 4 = 30

3.25x = 30-4

3.25x = 26

x= 26/3.25

x = 8 Games

She played 8 games

HELP PLEASE! This is due tomorrow and I’m confused

Answers

upload a more detailed picture please

Find g(-4) if g(x) = 8x^2 + 4x

Answers

Answer:

Your answer would be -144

The value of the function g(x) = 8x² + 4x at g(-4) is 112.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, a function g(x) = 8x² + 4x.

Now to obtain the value of g(-4) we'll simply substitute - 4 in place of x.

which is g(-4) = 8(-4)² + 4(-4).

g(-4) = 8×16 - 16.

g(-4) = 128 - 16.

g(-4) = 112.

learn more about functions here :

https://brainly.com/question/12431044

#SPJ2


Pls help I have no idea what the answer is

Answers

Answer:

Step-by-step explanation:

x/5=5/2

x=25/2

x=12.5

Help me and you get 100 points and Brainliest

The table shows the test scores and the sleep averages of several students.

a. Write the least squares regression equation that models the data. Let x = hours of sleep and y = test score.

b. Use the equation to determine the approximate test score of a student who sleeps an average of 8 h a night. Show your work.

Answers

hey someone else has already answered this!

a. To find the least squares regression equation for a group of (x,y) points:

Step 1: For each point(x,y), we need to calculate x² and xy first.

Step 2: Sum all x, y, x² and xy, which gives us Σx, Σy, Σx² and Σxy

Step 3: Calculate Slope m: m = (NΣxy − Σx Σy)/ N(Σx²) − (Σx)² , here N is the number of data.

Step 4: Calculate Intercept b: b = Σy − m(Σx)/ N

Step 5: Assemble the equation as y= mx+b

Here, we have ∑x = 120, ∑y= 1379, ∑x²= 919.5, ∑xy= 10466 and N= 16

So, m= (NΣxy − Σx Σy)/ N(Σx²) − (Σx)²

=

=

=  

= 6.33

and b = Σy − m(Σx)/ N

=

=

=

= 38.71

So, the least squares regression equation is : y= mx+b ⇒ y= 6.33x +38.71

b. When x= 8, then y= (6.33×8)+38.71 = 50.64 + 38.71 =89.35

The approximate test score of a student who sleeps an average of 8 h a night is 89.35%

EVERYTHING IS FROM sicista on brainly!

Answer:

A way to write the least regression equation that models is data y = mx + b => y= 6.33x + 38.71 and as for problem B when X = 8 then y = (6.33 x 8) + 38.71 = 50.64 = 38.71 = 89.35 so the estimated test score of a student who sleeps eight hours a night is equal to 89.39%

Step-by-step explanation:

I need help please!!

Answers

Answer:

y = -25x + 170

Step-by-step explanation:

For the graph equation y = ax + b, we have to find a and b.

Pick two points that are on the grid for best accuracy.

e.g., (2,120) and (6,20)

Then a = (20-120)/(6-2) = -25

b is the y coordinate of the line with the y axis: 170

So the formula is:

y = -25x + 170

(7x-8)(-1) PLEASE HURRY ITS A TIMED QUESTION !!!

Answers

-7x+8 IS UR FINAL ANSWER

Answer:

Is x a vairable? If x is a vairable, then your answer will be 56x. If x is not a vairable, and means a multiplication sign, then your answer will be 56.

......................help

Answers

Answer:

50.528º

Step-by-step explanation:

tanA = BC/BA

tanA = 17/14

A = 50.528º

Write the quadratic equation in standard form:
x^2- 1 = -7x

Answers

Answer:

standard form: ax² + bx + c = 0

x² - 1 = -7x

x² + 7x - 1 = 0

passes through (3,-6) and (-1,2) slope intercept form?

Answers

Answer:

2/1

Step-by-step explanation:

8/4 which is also 2/1

You can buy six cans of root beer for $18. How much will she pay for 27
cans?

Answers

Answer:

162$$

Step-by-step explanation:

tdrzfffffffffffffffffffffffffffffff

Answers

Answer:

AYEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

Uhhhhhhhhhhhhhhhhhhhhhhhhhhh

Explain how you would determine the slope and y-intercept of a line
when given a table, graph and an equation.
I KISS YOUR TOES IF YOU HELP ME

Answers

Answer:

slope is m= y_2-y_1/x_2-x_1 and the y-intercept is where the line crosses over the x-axis

Step-by-step explanation:

fill in the points and do the equation m= rise(y points)/ run(x points)

m=slope

(x_1, y_1) =coordinates of first point in the line

(x_2, y_2)=coordinates of second point in the line

PSLS S S S S S S S s s s. Ss s s s s

Answers

Answer:

80

Step-by-step explanation:

5x2x8=80

Answer:

volume= 8*2*5

=80cube

if the simple answer interest on 2,000 for 10 years is 1,600, then what is the interest rate

Answers

Answer:

8%

Step-by-step explanation:

Solving our equation

r = 1600 / ( 2000 × 10 ) = 0.08

r = 0.08

converting r decimal to a percentage

R = 0.08 * 100 = 8%/year

The interest rate required to

accumulate simple interest of $ 1,600.00

from a principal of $ 2,000.00

over 10 years is 8% per year.

Can anyone help me with this question.

Answers

Answer:

y=-5x+9

Step-by-step explanation:

y=-5x+b

y=4 x=1

4=-5(1)+b

9=b

Xxx yyy -12−12minus, 12 141414 -2−2minus, 2 212121 888 282828 What is the xxx-intercept of the line?

Answers

Answer:

-12

Step-by-step explanation:

Let the equation of the line be x = y - 12

The x intercept occurs at y = 0

Substitute y = 0 into the equation

x = 0 -12

x  = -12

Hence the x intercept of the line is -12

Note that the equation was assumed. The same calculation can be employed for any equation given

Answer:

(-32,0) if ur looking for the coordinates:)

Step-by-step explanation:

WILL CROWN BRAINLIEST Find the quotient.
29,424 divided by 15

Answers

The quotient would be 1,961.6

Answer:

1961.6 as decimal

Step-by-step explanation:

I divided it

A project manager has ordered 252 pallets of concrete blocks for a construction project. Casone's trucks can each carry 14 pallets of blocks at a time. The project manager used partial quotients to find the number of delivery trucks to expect. His work is shown at the right. Is his solution correct? Explain

Answers

Answer:

18 trucks of delivery

Step-by-step explanation:

Total pallets of concrete blocks ordered = 252 pallets

If each truck can carry 14pallets, then;

1 truck = 14pallets

To determine the number of delivery truck 252pallets can carry, we can express this as:

x truck = 252pallets

Divide both expressions

1/x = 14/252

Cross multiply

14x = 1×252

14x = 252

x = 252/14

x = 18

Hence the manger should expect 1 18 trucks of delivery

Given the equation 2x2 - 5x + 7 = 0.
1. Find the discriminant.
2. Describe the roots and explain your reasoning.

Answers

Answer:

how is it  0????

Step-by-step explanation:

What is equivalent to 4x + 6y

Answers

Answer:

Is that all...

Step-by-step explanation:

Is there any other information if not then it is impossible to answer that question.

plzzzzzzzzzzzzzzzzzzzzz oh plzzzzzzzzz help

Answers

Answer:

y=13/11x+12/11 (assuming you want it in slope-intercept).

Step-by-step explanation:

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