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

Simplify by combining like terms -10+2(3x-1)+1

Answers

Answer: -11+6x

Step-by-step explanation:

Understand PEMDAS method (Operates from left to right)

ParenthesisExponentsMultiplication and DivisionAddition and Subtraction

SOLVE:

Given

-10+2(3x-1)+1

Expand parenthesis

-10+6x-2+1

Use PEDMAS method

-10-2+1+6x

-12+1+6x

-11+6x

Hope this helps!! :)

if m+n=0, what is the value of n?

Answers

Answer: n= 0 - m

Step-by-step explanation:

To find value of n, isolate it by subtracting m from both sides.

If your exponent on your power 10 is positive, is your number larger or smaller than 10?

Answers

Answer:

See below.

Step-by-step explanation:

The number maybe less than 10, equal to 10, or larger than 10.

Examples:

A.

exponent: 1/2

10^(1/2) = sqrt(10)           (less than 10)

B.

exponent: 1

10^1 = 10                  (equal to 10)

C.

exponent: 2

10^2 = 10 * 10 = 100          (larger than 10)

Can somebody help me out on this question I would really appreciate it so much . Please and thank you .

Answers

Step-by-step explanation:

AB = AC, so mark the two sides with single tick marks.

m∠ACD = 128°, so label the angle 128°.

∠ACB is supplementary to ∠ACD, so:

m∠ACB + m∠ACD = 180°

m∠ACB + 128° = 180°

m∠ACB = 52°

ΔABC is an isosceles triangle, so m∠B = m∠ACB.

m∠B = m∠ACB

m∠B = 52°

Angles of a triangle add up to 180°, so:

m∠A + m∠B + m∠ACB = 180°

m∠A + 52° + 52° = 180°

m∠A = 76°

HELP ASAP PLEASEEEEE Use the given D to find the range of each function:

f

g(x)=−3x to the power of 2−4, D={−1, 2, 3}

Answers

Answer:

do your own homework

Step-by-step explanation:

1. listen to the teacher

2.ask alexa

dont ask me

1234567891011121314151617181920LOLOL

What is the domain and range for y=x3 – 4x² + x + 6

Answers

Answer:

Domain: set of Real numbers

Range{ set of Real numbers

Step-by-step explanation:

Since this is a cubic function, its domain and range are both the set of Real numbers.

The domain of any polynomial function is the set of Real numbers, And as far as the Range, we decide based on its end-behavior: since this is a polynomial with leading term [tex]x^3[/tex], then it has the property of getting to infinitely large values for increasing values of x, and infinitely negative values for decreasing values of x.

7. Identify the explicit formula for the sequence given by the recursive formula

Answers

Answer:  B) f(n) = 30 - 8(n - 1)

Step-by-step explanation:

Explicit formula is of the form: [tex]a_n=a_1+d(n-1)[/tex]    where

[tex]a_1[/tex] is the first term d is the difference between consecutive terms

Given: f(1) = 30  --> this represents the first term [tex]a_1[/tex] = 30

          f(n - 1) - 8   --> this means the previous term minus 8 thus d = -8

[tex]a_n[/tex] = 30 + (-8)(n - 1)

    = 30 - 8(n - 1)

Answer:

B. f(n) = 30 – 8(n – 1)

Step-by-step explanation:

got it right on test

The sum of two numbers is 82. One number is three less than four times the other. Find the two numbers.

Answers

Answer:

17 , 65

Step-by-step explanation:

x+ y = 82

y = 4x - 3

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

Put the second equation into the first.

x + 4x - 3 = 82

5x = 85

x = 85/5

x = 17

17 + y = 82

x = 82 - 17

x = 65

Simplify
a(2a - 3) + 6(a - 0.5) - (2a^2 - 5)

Answers

Answer:

The answer to your question is 3a+2

Answer:

3a +2

Step-by-step explanation:

a(2a -3) +6(a -0.5) -(2a^2 -5)

rewrite to all show terms and operations:

a * (2a -3) + 6 * (a - 0.5) -1 * (2a^2 -5)

distribute:

2a^2 -3a +6a -3 -2a^2 +5

combine like terms:

-3a +6a -3 +5

3a+2

3(x-5) – 1/2(10x + 10) I don’t understand and I need the answers

Answers

Answer:3x-15-5x-5

-2x-20

Step-by-step explanation:

Answer:

-2x-20

Step-by-step explanation:

Expand 3(x-5) : 3x-15

Do not forget there is a subtraction sign in the middle.

Expand 1/2(10x+10) : 5x+5 : 5(x+1)

= 3x - 15 - 5(x+1)

Expand -5(x+1) : -5x-5

= 3x-15 - 5x - 5

Simplify 3x-15-5x-5 by adding like terms: -2x-20

= -2x-20

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of the congruent angles. An equation is = 180.
Angles congruent with each measure.

Answers

Answer:

26 degrees

Step-by-step explanation:

180-138=52

52/2=26

(Multiple choice)

The quotient of a number and 17 is 118.82.

A. it can be solved with division property of equality.

B. It can be solved with the multiplication property of equality

C. The equation should x/17=118.82

D.x=7

E. X=2020

Answers

Answer:

C. The equation should x/17=118.82

Step-by-step explanation:

We know that

Dividend ÷ Divisor = Quotient

Dividend/Divisor = Quotient

From the question, we are told that:

The quotient of a number and 17 is 118.82

Let us represent the unknown number as x = Dividend

17 = Divisor

Quotient = 118.82

Hence,

x / 17 = 118.82

Cross Multiply

x = 17 × 118.82

x = 2019.94

The correct answer = Option C. The equation should x/17=118.82

2. Graph the inequality.
y<- 3x-2

Answers

Answer:

(2,-8)  (0,-2)

Step-by-step explanation:

y=mx+b
M= slope
B= y-intercept

-2 is the y-intercept (0,-2), plot those coordinates

-3x is the slope
- slope is -3/1
- top number depicts if you go up or down, (-) go down and (+) go up
- the bottom number you go to the right

So, from (0,-2) go down three and to the right one

Graph a dotted line since it is

curtis divided 27.16 by 2.8 in Got 0.97 is his answer reasonable why or why not

Answers

Given :

Curtis divided 27.16 by 2.8 and got 0.97 .

To Find :

Is his answer reasonable why or why not.

Solution :

When we divide 27.16 by 0.97 we will get 9.7.

So, Curtis did a calculation error of decimal and his answer is not acceptable.

Hence, this is the required solution.

If UV=5x, VW = 8x - 17, and UW = 11x+11, what is UW

Answers

Answer:

UW=165

Step-by-step explanation:

UV + VW =UW

5x + 8x-17= 11x +11

13x - 17 = 11x + 11

Subtract 11x and add 17 to both sides:

2x= 28

Divide 2 both sides:

x=14

Plug in x to the equation of UW:

11 (14) +11

165

Sally took 3 tests. Her average on these tests will give her her grade. Find Sally’s grade.
Scores: 65 90 85

Answers

Answer:

80

Step-by-step explanation:

Add up all 3 and divide by 3 (how much numbers there are) 65+90+85=240÷3=80

how many fourths are in one third?

Answers

Answer:

there is one fourth in one third

Step-by-step explanation:

1/3 < 1/2

one third is less than two fourths (one half)

1/3  > 1/4

but it is more than one fourth, so one fourth fits in one third.

Does this graph represent a function? Why or why not?

Answers

Answer:

D

Step-by-step explanation:

There are no two points on the same line so the answer is D

I hope this is right!

Answer: It's B

Step-by-step explanation:

Which procedures are examples of Descartes’s rules for scientific reasoning?

Answers

Keeping a detailed record of the procedure and results of a scientific experiment

Conducting an experiment to confirm the effects of gravity on Earth

Solving an expression in steps using the order of operations

Answer:

keeping a detailed record of the procedure and results of a scientific experiment

conducting an experiment to confirm the effects of gravity on Earth

solving an expression in steps using the order of operations

Step-by-step explanation: Edu

I need help with this question

Answers

your equation I believe would be
x = (1056.5 - 470)/ 69
Explanation:
First you would need to find how much money was charged for labor, so you needed to subtract 470 from the total.
Second, once you find the amount charged for labor, you would need to divide the hourly rate by that number. That would give you the number hours.

what is the answer to 0.15 = y - 0.45

Answers

Answer:

0.6

Step-by-step explanation:

ASAP!!! I WANT MORE THAN 1 PERSON TO ANSWER THIS!!!
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
Segment EF is twice as long as segment AB.
True/false

B. Segment CD is twice as long as segment FG.
True/false

C. The measure of angle HEF is twice the measure of angle DAB.
True/false

D. The length of segment EH is 16 units.
True/false

E. The measure of angle BCD is the same as the measure of angle GFE.
True/false

Answers

Answer: True, False, False, True, False

Step-by-step explanation:

Since the two quadrilaterals are similar, for question A your answer of True is correct since EF would scale to be twice as long as AB. For the second question the reverse logic applies. For Question C EH is 16 units since 8x2 is 16. For the last question, since BCD does not corresponds to GFE, it is false. Angle BCD has a vertex at point C and GFE has a vertex at point F. Since C does not correspond to F, the angles are not the same.

please help i can’t do this and it’s due today please help !!

Answers

Answer:

go 3 squares to the side and 2 squares up?

What’s the value of the 8 in 2,983,785

Answers

Answer:

ten and ten thousands

Step-by-step explanation:

The first 8 is put in the 2nd place for the right meaning that it is in the tens place, the second 8 is in 5th place from right which means that it is at ten thousands place, Hope this answer helped.

the daily cost of hiring a plumber to work x hours on a repair project can be modeled using linear function. the plumber charges a fixed cost of $80 plus and additional costs of $45 per hour. the plumber works a maximum of 8 hours per day.
for one day of work, what is the maximum daily cost that the plumber will charge?​

Answers

Answer:

15 dollars

Step-by-step explanation:

What does this equal?

Answers

Answer:

87/100

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2

numbers to the right of the decimal point, place the decimal number over

10

2

(

100

)

. Next, add the whole number to the left of the decimal.

What is the value of x, when -25(x - 4) = -55(x - 10)?

Answers

Answer:

-25(x - 4) = -55(x - 10)

-25x+100= -55x+550

-25x+55x=550-100

30x=450

x=15

Answer:

x= 15

Step-by-step explanation:

Step 1- Distribute into the parenthesis

-25x-(-25)4= -55x-(-55)10

Step 2- Multiply to simplify

-25x+100= -55x+550

Step 3- Add -55x to both sides

-25x+100= -55x+550

+55x          +55x

Step 4- Subtract 100 to both sides

30x+100= 550

      -100   -100

Step 5- Divide both sides by 30

30x= 450

30     30

x= 15

27 mm converted to in m

Answers

1.063 inches

0.027 meters

hope it helps!

HELPPPP PLEASE !!! I do not get this someone help

Answers

Answer:

20

Step-by-step explanation

not sure but looks like you need help as fast as possible here my answer the way i thought about is you have 70 degree angle and y looks like a right angle which = 90 degree

x = 180 - 70+90

x = 180 - 160

x = 20

The value of the angle x for the given triangle will be 20°.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle,

m∠y = 90°

The exterior angle = sum of two interior angles except for the adjacent angle of the exterior angle.

110° = x + y

110° = x + 90°

m∠x = 20°

Hence "The value of the angle x for the given triangle will be 20°".

For more about triangles,

https://brainly.com/question/2773823

#SPJ2

is y=x 4th power
a function

Answers

Answer:

Yes.

Step-by-step explanation:

It satisfies our definition of a function. For every x, there is one and only one value of y.

Hope that helped.

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