there were 96 runners to start a race. in the first half of the race, 1/4 of them dropped out. in the second half of the race, 1/6 of the remaining runners dropped out. how many runners finished the race?

Answers

Answer 1

Answer: 60

Step-by-step explanation: 1/4 of 96 is 24 so you subtract that and get 72. And 1/6 of 72 is 12 and you subtract that leaving you with 60 to remain.


Related Questions

If a=2b then a:b= what ???​

Answers

Answer:

[tex]2:1[/tex]

Step-by-step explanation:

[tex]a:b\\---\\\ 2b:b\\2:1[/tex]

Which of the following steps should be completed first when simplifying ?

Answers

answer: combine like terms

Answer:C

Step-by-step explanation:

What is the coordinate of the midpoint of DA?
D

Answers

Answer:

6

Step-by-step explanation:

Coordinate of point D = -6

Coordinate of point A = 18

The coordinate of the midpoint of DA = the coordinate of the point that is half the distance from D to A.

Distance of DA = |18 -(-6)| = |18 + 6| = 24

Midpoint = ½ the distance of DA = ½*24 = 12

Coordinate of the midpoint of DA = coordinate of D + 12 = -6 + 12 = 6

Or,

Coordinate of A - 12 = 18 - 12 = 6

Therefore, coordinate of the midpoint of DA = 6.

MO bisects LMN mLMN = 8x-23 and mLMO= 2x+37 solve for x and find LMN

Answers

Answer:

see explanation

Step-by-step explanation:

Since MO bisects ∠ LMN then

∠ LMO and ∠ NM0 are congruent, thus

∠ LMN = ∠ LMO + ∠ NMO , substitute values

8x - 23 = 2x + 37 + 2x + 37 = 4x + 74 ( subtract 4x from both sides )

4x - 23 = 74 ( add 23 to both sides )

4x = 97 ( divide both sides by 4 )

x = 24.25

Thus

∠ LMN = 8x - 23 = 8(24.25) - 23 = 194 - 23 = 171°

number 27 please.. i can not figure it out.

Answers

Answer: x=-12

Step-by-step explanation:

To solve for x, you want to use algebraic properties to isolate x.

[tex]\frac{x}{4}=2+\frac{x-3}{3}[/tex]                       [subtract both sides by [tex]\frac{x-3}{3}[/tex]]

[tex]\frac{x}{4}-\frac{x-3}{3}=2[/tex]                       [get common denominator]

[tex]\frac{3x}{12} -\frac{4x-12}{12} =2[/tex]                  [subtract]

[tex]\frac{-x+12}{12} =2[/tex]                          [multiply both sides by 12]

[tex]-x+12=24[/tex]                     [subtract both sides by 12]

[tex]-x=12[/tex]                            [divide both sides by -1]

[tex]x=-12[/tex]

Now, we know that x=-12.

There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is: p = 300 − 18 x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat. a . To sell an additional kilogram of snig, how much does the price need to decrease

Answers

Answer:

The price would be decreased by 18 bozats

Step-by-step explanation:

The following information is given in the question

x = number of kilograms of snig sold

P = Price per kilogram

And, the equation is

p = 300 - 18x

Now if an extra kilogram is sold so it should be x+1

Now the new price is

New price = 300 - 18(x + 1)

= 300 - 18x - 18

Therefore the price would be decreased by 18 bozats

Given that:

Price-demand equation is

[tex]p=300-18x[/tex]

where, x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat.

To find:

The price which needs to decrease to sell an additional kilogram of snig,

Solution:

We have,

[tex]p=300-18x[/tex]

If x=1, then

[tex]p=300-18(1)[/tex]

[tex]p=300-18[/tex]

[tex]p=282[/tex]

It means, the price is 282 if 1 kg of snig sold.

Similarly,

If x=2, then

[tex]p=300-18(2)[/tex]

[tex]p=300-36[/tex]

[tex]p=264[/tex]

It means, the price is 264 if 2 kg of snig sold.

Change in price if sales increased by 1 kg is

[tex]264-282=-18[/tex]

Here, negative sign means decrease in price.

Therefore, the price needs to decrease by 18 to sell an additional kilogram of snig.

What number is 136% of 12.24?

Answers

Answer:

I really don't know but I'm trying to hurry for my quiz lol sorry

Answer:

cxcxcxcxcxgergddgg

Step-by-step explanation:

A movie theatre needed 980 popcorn
buckets. If each package has 9 buckets,
how
many packages will they need to
buy?

Answers

109 packages of buckets

Choose a number line to model the following situation. After walking 5 steps forward, Julie walked 5 steps backward. ​

Answers

Answer:

B

Step-by-step explanation:

She walked 5 steps foward and stoped. Then turned around and walk back the same distance. So she walked the same place twice once to get their and once to get back to the starting pouint.

ezekiel has $250 in his bank account

Answers

Oh that’s nice do you need help with a math problem or something?

MATH please heeeeeeeeeeeeeelp​

Answers

Answer:

0, they all equal 0

Basic Math - the property of 0:

The multiplication property of zero says that zero times any number is equal to zero.

Step-by-step explanation:

Solution:

6(1/6)-2+1+12x0   =   anything times 0 = 0

6(1/6)-2+1+0   =   0

6(1/6)-2+1   =   0

1-2+1   =   0

-1+1   =   0

=0

HLEP MEE!!!!
Solve for Y!

Answers

Answer:

y = 10

Step-by-step explanation:

120 + 6y = 180

6y = 60

y = 10

Answer:

y = 10

Step-by-step explanation:

6y + 120 = 180

6y = 60

y = 10

If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.

Answers

Answer:

35

Step-by-step explanation:

34+ you = 35

After killing still people are inside room.

divide 5346 divided by 29​

Answers

Answer:

184.3448276

Step-by-step explanation:

5346/29

184.3448276

Answer:

594

Step-by-step explanation:

If the odds against​ Deborah's winning first prize in a chess tournament are 1 to 7, what is the probability of the event that she will win first​ prize?

Answers

Answer:

7/8

Step-by-step explanation:

Odds against are the ratio between losses and wins.

odds against = L / W

Probability of winning is the ratio between wins and all games.

probability = W / games

probability = W / (W + L)

The odds against are 1 to 7.

1/7 = L / W

W = 7 L

The probability is therefore:

P = (7 L) / (7 L + L)

P = 7/8

A hot air balloon has a height of 50 feet and is rising at a rate of 5 feet per minute. Another hot air balloon has a height of 70 feet and is rising at a rate of 3 feet per minute. After how many minutes will the balloons be at the same height?


If the number of minutes is represented by the variable x, then choose the equation that can be used to solve the problem.

Answers

Stupid do 22949949+r4848488) cuh x9x plays th e sum 69 to find the division time one times to

Simplifying a Fraction Expression
2/3 divided by (-4) - ( 1/6 - 8/6)

Answers

Answer:

Step-by-step explanation:

2/3 x -1/4 + 9/6)

-2/12 + 9/6

-1/6 + 8/6 = 7/6 = 1 1/6

3|3t+1|=2|6t+3| Need hep

Answers

Answer:

your answer would be  t=-1 or t=1

Step-by-step explanation:

-(2t-3) = 3t-2

Multiply

     -2t+3 = 3t-2

Rearrange and Add up

     -5t = -5

Divide both sides by 5

-t = -1

Multiply both sides by (-1)

t = 1

Which is the solution for the Negative Case

Solve the Positive Case

     (2t-3) = 3t-2

Rearrange and Add up

     -t = 1

Multiply both sides by (-1)

     t = -1

have a great day!

if jessie had 3 feet of string and maxine had 34 inches of string, who had more string

Answers

Answer:

Jessie

Step-by-step explanation:

12 inches = 1 foot

Jessie has 3 feet of string. So, multiply 12 by 3.

12 × 3 = 36 inches

36 inches is greater than 34 inches. So, Jessie has more string.

Hope that helps.

joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year and had a starting salary of $70000. Write an equation for S, in terms of N, representing Josephs salary after working n years for the company.

Answers

Answer:S = 70,000 + 5000n

The equation that can be used to represent Josephs salary after working n years for the company is S = 70,000 + 5000n

How to write equation?Annual increase in salary = $5000Starting salary = $70,000S = Josephs salary after working n yearsn = number of years

The equation:

S = 70,000 + 5000(n)

S = 70,000 + 5000n

If n = 2

S = 70,000 + 5000n

= 70,000 + 5000(2)

= 70,000 + 10,000

= $80,000

Learn more about equation:

https://brainly.com/question/13763238

#SPJ2

Simplify the expression. -6 + 3(2 - 4t) *

Answers

Answer:

-6 + 6 - 12t *

0 - 12t *

12t *

Therefore the answer is 12t *

Please help me solve this problem.

Answers

Answer:

h =  V/πr²h = 10 inches

Step-by-step explanation:

V = πr²h

1. Solving for h:

V = πr²hπr²h = Vπr²h/πr² = V/πr²h =  V/πr²

2. Finding the height of given cylinder, using formula above:

V = 90π, r = 3 inches, h = ?h =  V/πr²h = 90π/π3²h = 10 inches

Solve for x (see image)

Answers

Answer:

x = 18

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 24^2 = ( 12+x)^2

FOIL the right side

x^2 +576 = 144 + 24x + x^2

Subtract x^2 from each side

576 = 144 + 24x

Subtract 144 from each side

576-144 = 24x

432 = 24x

Divide each side by 24

432/24 = 24x/24

18=x

Find 5.5x when x=7.5

Answers

Answer:

41.25

Step-by-step explanation:

if x=7.5 in order to find 5.5x you would multiply 5.5 by 7.5

=41.25

Answer:

41.25

Step-by-step explanation:

5.5(7.5) Stubstitue the varuable for the value

41.25 Multiply

what is 3/4 - (-4/5)​

Answers

Answer: 1,55

Step-by-step explanation:

3/4 - (- 4/5) = 3/4 + 4/5 =  (3x5)/20  + (4x4)/20 = 15/20  +  16/20 =  31/20 = 1,55

3/4 - (- 4/5)  = 3/4  +  4/5 = 0,75 + 0.8 = 1,55  

Is the open sentence8−4x=4x true or false when x = 0? A.True B.False

Answers

Answer:

b.False it equals x=1

When x = 0, 8 - 4x = 4x is not true.

Write this ratio as a fraction in lowest terms
60 minutes to 70 minutes

Answers

The answer is 7/6 bc you take the the two zeros from the side

Paige's backyard is rectangular. It has a
length of 50 yards and a width of 80 feet.
Find the perimeter of Paige's backyard
using the correct number of significant
digits.

Answers

Answer:

probably 130

Step-by-step explanation:

well your gonna need to add both numbers together to see the out come of the answer

As the manager of a store, you wish to determine the amount of money that people who visit this store are willing to spend on impulse buys on products placed near the checkout register. You sample twenty individuals and records their responses. Construct a frequency table for grouped data using five classes. 8,18,15,10,29,4,15,2,4,9,16,14,13,8,25,25,27,1,15,24

Answers

Answer:

The frequency table is listed down below.

Step-by-step explanation:

1:1

2:1

4:2

8:2

9:1

10:1

13:1

14:1

15:3

16:1

18:1

24:1

25:2

27:1

The frequency table for grouped data is shown in the picture and the classes are 1-6, 7-12, 13-18, 19-24, and 25-30

What are statistics?

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

We have:

The sample of twenty individuals and records their responses:

8,18,15,10,29,4,15,2,4,9,16,14,13,8,25,25,27,1,15,24

The classes are:

1-6, 7-12, 13-18, 19-24, and 25-30

The frequency table for grouped data is shown in the picture.

Thus, the frequency table for grouped data is shown in the picture and the classes are 1-6, 7-12, 13-18, 19-24, and 25-30

Learn more about the statistics here:

brainly.com/question/8058700

#SPJ2

Please Answer Dis .​

Answers

Answer:

543.

Step-by-step explanation:

Add both numbers as if they were positive.

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