A county has two elementary schools, both of which have an after-school program for the convenience of working parents. In school A, of the children attend the after-school program; in school of the children attend the after-school program. If school A has 600 students and school B has 900 students , then what is the fraction of elementary school students in the county who attend the after -school program ?

Answers

Answer 1

Answer:

8/15

Step-by-step explanation:

Given that school A has 600 students and school B has 900 students.

As in School A, 1/3 of the children attend the after-school program.

So, the number of students in school A, who attend the after-school program, n_A= 1/3 x 600 = 200.

As in School B, 2/3 of the children attend the after-school program.

So, the number of students in school B, who attend the after-school program, n_B= 2/3 x 900 = 600.

Total number of elementary school students in the county who attend the after -school program= n_A +n_B = 200 + 600 = 800.

Total number of elementary school students in the county,

N = 600+900=1500

Hence, the fraction of elementary school students in the county who attend the after-school program = 800/1500 = 8/15.


Related Questions

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.

Based on the graph, what is the initial value of the graph and what does it represent? (1 point)

a
3 miles per minute; it represents the speed of the bird

b
0.2 mile per minute; it represents the speed of the bird

c
0.2 mile; it represents the original distance of the bird from its nest

d
3 miles; it represents the original distance of the bird from its nest

Answers

Answer:

(d).

Step-by-step explanation:

The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest

Answer:

0.2 mile; it represents the original distance of the bird from its nest

Step-by-step explanation:

HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST

Answers

Answer:

top is independent, bottom is dependent

Step-by-step explanation:

top has only 1 answer, bottom has infinite answers

9^(x + 2) = 27
Can someone help solve

Answers

Answer:

x=-.5

Step-by-step explanation:

pls ayuda es para hoy mismo y es un examen

Answers

Answer:

-4

6x+29=5

6x=5-29

6x=-24

x=-4

 

Answer

es-4

Step-by-step explanation:

What is the greatest common factor of 9 and 12? 3 9 36 108

Answers

Answer:

The GCF would be 3

Step-by-step explanation:

You’re welcome :)

Answer:

1. A

Step-by-step explanation:

What is the larger number: 5 or the Square Root of 26. Why?

Answers

Step-by-step explanation:

square root of 26

becoz √26=5.099

=5.1

Answer:

square root of 26

Step-by-step explanation:

this is because when 26 is squared it equals 5.09902, so 5.1 is greater than 5

This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?

Answers

Answer:

58

Step-by-step explanation:

Answer:

$58

Step-by-step explanation:

The corner market sells potatoes at a rate of 1/2 dollars per potato.
1. Amanda is only able to spend $5 on potatoes. What is the most number of potatoes she can buy?
2. Sam wants to buy 15 potatoes. How much will that cost him?

Answers

Answer:

The cost of 15 potatoes is $7.50

Step-by-step explanation:

The potatoes are sold at a rate of $0.5 per potato.

1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.

Amanda can buy at most 10 potatoes

2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:

15 * $0.5 = $7.50

The cost of 15 potatoes is $7.50

What is 2-10(7b-2) simplified

Answers

Answer:

-70b+22

Step-by-step explanation:

Simplify each term

apply the distributive property

2-10(7b)-10 *2

multiply 7 by -10

2-70b+-10*-2

multiply -10 by -2

2-70b+20

add 2 and 20

-70b+22

Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?

Answers

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.


4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°​

Answers

Answer:

Thank you and please rate me as brainliest as it will help me to level up

What is the Mean of 2,10,18,14,6

Answers

Answer:

10

Step-by-step explanation:

2+10+18+14+6= 50

then divide by 5 to get mean = 10

Answer:

the answer is 10

Step-by-step explanation:

if you add up all the numbers you get 50

and if you divide it by the number of results, in this case 5, you get 10!

Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

What is the successor of 2,550

Answers

Answer:

2551

Step-by-step explanation:

The successor of a number is 1 more than it.

PLS GIVE BRAINLIEST

14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug.​ plsssss help.me show work

Answers

Answer:

Perimeter of the new rug   = 4x+2 feet

Step-by-step explanation:

Let the length be x feet and the width of the first rug will be x- 3 feet

Area = length * breadth = x * (x-3) = x²- 3x

Length of the new rug = x+2 feet

Width of the rug = x+2-3= x-1 feet

Perimeter of the recatngle = 2( length + breadth)

                                             = 2( x+2 + x-1)

                                               = 2 (2x+1)

                                                = 4x+2 feet

Matilda wants to average sales in her café of $1400 per day. During the first 4 days of the week, her sales were $1289, $1498, $1327 and $1510. What does she need her sales for the 5th day of the week to meet her 5-day sales goal?

Answers

Answer

Matilda needs to sell 1376$ worth of coffee

somebody please help me what is 15 / 3 ×7/20​

Answers

Answer:

1.75

Step-by-step explanation:

By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.

Then your equation would be:  5*7/20.

Again, you would just read it left to right, 5*7=35

Then divide by 20, which is 1.75.

WHICH TABLE IS A FUNCTION?
TABLE A
TABLE B
NEITHER
BOTH

Answers

i believe it neither

Answer:

I honestly think its neither

Factor-262 +65k - 2b

Answers

Answer:

-262 +65k =2b is not factorable with rational numbers

Step-by-step explanation:

It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.​

Answers

Answer:

[tex]2x+y\geq 20[/tex]

Step-by-step explanation:

Given that total points required to make the playoffs = 20 points

As there is 2 points for a win,

so points earned for x win = 2x

Similarly, as there is 1 point for a tie.

so points earned for y ties = 1[tex]\times[/tex] y= y

Total points earned for x win and y ties = 2x+y

As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so

[tex]2x+y\geq 20[/tex]

Hence, the required equation is [tex]2x+y\geq 20[/tex].

Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!

Answers

Answer:

4t + 8

Step-by-step explanation:

t + 3t = 4t

4t + 8

Answer:

4t+8

Step-by-step explanation:

If you look at your equation t+8+3t you will notice how you have two t parts

part 1: t

part 2: 3t

Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.

Then you just put your 8 back on to the equation! 4t+8

Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?

Answers

Answer:

time in years = 2.5 years

Step-by-step explanation:

time = interest / (principal amount x rate)

time = 750 / 5000 x 0.06

time = 750 / 300

time = 2.5 years

The slope of the lawn and passing through the points (1,3) and (5,13)

Answers

(13-3)/(5-1)=10/4=5/2

Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. Estimate the amount of change the cashier should give Allie.

Answers

Answer:

It would be about $9

Step-by-step explanation:

you would round $10.80 to $11 because it says to estimate and then you do 20-11 which is 9 so the answer is $9

The required amount that the cashier returned to Allie is 7.20.

Given that,

Allie went to the store and spent $10.80 for her science project. She gave the cashier $20.00. To estimate the amount of change the cashier should give Allie.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Paid amount = $20
Cost of the project = $10.80
Returned amount = 20 - 10.80
Returned amount = $7.20

Thus, the required amount that the cashier returned to Allie is 7.20.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Find the recursive rule, explicit rule, and f(20)

Answers

Answer:

Recursive:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit:

[tex]f(n)=4-4(n-1)[/tex]

And the 20th term f(20) is -72.

Step-by-step explanation:

We have the sequence:

4, 0, -4, -8...

Let’s find the recursive and explicit rule for the sequence.

Recursive Rule:

Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.

So, this is a arithmetic sequence.

The standard format for an recursive rule for an arithmetic sequence is:

[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]

Where a is the initial term and d is our common difference.

From our sequence, we know that our initial term a is 4.

We also determined that our common difference is -4.

Substitute. Hence, our recursive rule is:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit Rule:

The standard format for an explicit rule for an arithmetic sequence is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:

[tex]f(n)=4-4(n-1)[/tex]

To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:

[tex]f(20)=4-4(20-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]

Hence, our 20th term is -72.

pls help:) i feel so guilty for asking questions

Answers

Answer:

Step-by-step explanation:

AB:

d = sqrt ( (−5−2)^2 + (−2−(−8))^2)

d = sqrt( (−7)^2 + (6)^2  )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

BC:

d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )

d = sqrt( (−2)^2 + (5)^2  )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

AC:

d = sqrt ( (−7−(2))^2+(3−(−8))^2 )

d = sqrt( (−9)^2 + (11)^2  )

d = sqrt(81+121)

d = sqrt(202)

d = 14.21267

DE:

d = sqrt ( (−11−(-9))^2+(12−7)^2 )

d = sqrt( (−2)^2 + (5)^2  )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

EF:

d = sqrt ( (−2−(-11))^2+(1−12)^2 )

d = sqrt( (9)^2 + (-11)^2  )

d = sqrt(81+121)

d = sqrt(202)

d =14.21267

DF:

d = sqrt ( (−2−(-9))^2+(1−7)^2 )

d = sqrt( (7)^2 + (-6)^2  )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

Yes, the triangles are congruent because the lengths are the same.

What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?

Answers

Answer:

(-4,7)

Step-by-step explanation:

(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)

help me plz asap now I just need answer question in pic

Answers

I was just about to ask this question

Step-by-step explanation:

Im on this question rn, i need help to :(

Answer:  just guess :)

Step-by-step explanation:

Factor 7 out of 7d - 56
A)7(d - 8)

B)7(d + 8)

C)7(d + 56)

D)7(d - 56)

Answers

Answer:

A

Step-by-step explanation:

7d/7=d

-56/7=-8

7(d-8)

12 + 4x – 4 = 12x – 9 – 8x

Answers

Answer:

No solution

Step-by-step explanation:

Basically the simplified equation is 17 = 0, which is wrong so there is no solution.

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