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

Which of these is a Pythagorean triad?

A. 5, 12, 13
B. 1, 2, 3
C. 6, 9, 10

Answers

Answer:

A) 5, 12, 13

Step-by-step explanation:

[tex]5^2 + 12^2 = 169[/tex]

[tex]13^2 = 169[/tex]

∴ Option A is a Pythagorean triad.

[tex]1^2 + 2^2 = 5[/tex]

[tex]3^2 = 9[/tex]

∵[tex]5\neq 9[/tex], ∴ Option B is not a Pythagorean triad.

[tex]6^2 + 9^2 = 117[/tex]

[tex]10^2 = 100[/tex]

∵[tex]117\neq 100[/tex], ∴Option C is not a Pythagorean triad.

∴ A is the only Pythagorean triad out all three options.

Hope this helps :)

Amara needs 45kilograms of meat to feed her 2pet dragons each day. Each pet dragon eats the same amount of meat.
How many kilograms of meat does Amara need to feed 4 pet dragons each day?

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

She needs 45 kg meat for 2 pets

each pet feed the same, i.e,

one pet eats = 45/2 = 22.5 kg meat

then 4 pet dragons will eat = [tex] 22.5kg \times 4 = 90 kg [/tex] meat.

Hence, Amara needs 90 kilograms of meat to feed 4 pet dragons each day.

Use the following table to determine P(X≤3).

Answers

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[tex]P(x \leqslant 3) = P(1) + P(2) + P(3) \\ [/tex]

[tex]P(x \leqslant 3) = 0.25 + 0.32 + 0.17 \\ [/tex]

[tex]P(x \leqslant 3) = 0.74[/tex]

Thus the correct answer is

the last option .

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A hiker climbed up from the bottom of a mountain. His elevation increased at a rate of 40 feet each hour. Which equation models the change in his elevation at 3 hours.
O A.3(-40)=120
O B.(-3)(-40)=120
O C. 3•40=120
O D.3(-40)=120

Answers

Answer:

I believe it is C

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

A-P-E-X

(a2 - b2)/(2 + d3)
a=6
b=4
d= 1 over 2
one of the answers is
A. 28.17
B. 13.18
C. 28.47
D. 10.125
E. 1.975
F. 9.4118

Answers

Answer:

28.47

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

Given

[tex]\frac{a^2-b^2}{2+d^3}[/tex] ← substitute given values into the expression

= [tex]\frac{6^2-4^2}{2+(\frac{1}{2}) ^{3} }[/tex]

= [tex]\frac{36-16}{2+\frac{1}{8} }[/tex]

= [tex]\frac{20}{\frac{17}{8} }[/tex]

= [tex]\frac{20}{2.125}[/tex]

≈ 9.4118 ( to 4 dec. places ) → F

write the equation of a line in point-slope form:
#12 please

Answers

Step-by-step explanation:

sub in the given values (aka sub slope = -2/5 and point (-2, 3)):

y - 3 = -2/5(x - (-2))

y - 3 = -2/5x - 4/5

y = -2/5x + 11/5

This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Please tell me the answer

Answers

Answer:

(-∞,∞) Bottom answer

I hope this helps you with your algebra

Answer:

Infinity

Step-by-step explanation:

Give brainiest to the other guy/girl they deserve it!!

(Hope dis helps!!!)

I will give brainliest! Please help!!

Answers

Roughly 3.0666. Hope this helps!!

Yea I need help

I’ll give 20 points

Answers

Answer

Its the 3rd option

Step-by-step explanation:

A baseball bat that originally sold for $80 is on sale at a 15% discount. How much is the discount in dollars

Answers

Answer:

$12

Step-by-step explanation:

Find the discount by multiplying the cost of the bat by the discount:

80 * 0.15 = 12

Hope that helps! :D

Please help me guys I beg you I will give you lots of credit plz

Answers

Answer:

11m/min

Step-by-step explanation:

slope of the line = velocity of the turtle

slope = y/x

= 55/5

=11

Answer:

11

Step-by-step explanation:

55 meters by 5 minutes, so divide 55 by 5 to find one minute.

55/5 = 11

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

Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, f(n) , in years, it will take the number of species to decrease to a value of n?

Answers

Answer:

Select the correct answer.

Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?

The answer is D.

Step-by-step explanation:

The logarithm function that models the time, f(n) , in years is [tex]\rm f(n) = log_{0.98} (\dfrac{n}{74})[/tex], the correct option is D.

What is an Exponential Function?

An exponential function can be represented in the form f(x) = abˣ.

The number of species is decreasing by 0.02

Current number of species = 74

The time f(n) years is given by

f(n) = 74 (0.98)ⁿ

Converting exponent to logarithm form

x = aⁿ

y = logₓ a

f(n) = 74 (0.98)ⁿ

[tex]\rm f(n) = log_{0.98} (\dfrac{n}{74})[/tex]

To know more about Exponential Function

https://brainly.com/question/11487261

#SPJ5

find the value of "y" in the triangle.

Answers

Answer:

y = 7      x = 45

Step-by-step explanation:

[tex]x=45[/tex] because the triangle is a right angle isocele triangle so 180-90 =90

90 / 2 =45 = x

[tex]\frac{7\sqrt{\:2}}{\sin \left(90\right)\:}=\frac{y}{\sin \left(45\right)}[/tex] so  y = 7

Answer:

y =7

this is your answer

Solve the problem. A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 5 bags of potato chips for $16.25. Another customer buys 5 hot dogs and 4 bags of potato chips for $19.50. Find the cost of each item.
A. $2.75 for a hot dog; $2.00 for a bag of potato chips
B.$2.50 for a hot dog; $1.75 for a bag of potato chips
C.$2.50 for a hot dog: $2.00 fora bag of potato chips
D. $1.75 for a hot dog; $2.50 for a bag of potato chips​

Answers

Answer

ok the answer is C

Step-by-step explanation:

1.75*4=7

.75*2=1.5

7+1.5=8.50

The answer is C because

pls help whoever gives me the most correct answer I'll mark brainliest
Question 7 (Worth 1 points)
(04.03 MC)

The price of oranges at a farm is $1.16 per pound. Which equation can be used to determine c, the total price of n pounds of oranges?

c equals 1.16 over n

c = 1.16n

c = 1.16 + n

c = 1.16 − n

Points earned on this question: 0

Question 8 (Worth 1 points)
(04.03 MC)

The graph below shows the price of different numbers of towels at a store:

A graph is shown. The values on the x-axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 17, 34, 51, 68, and 85. Points are shown on ordered pairs 0, 0 and 2, 17 and 4, 34 and 6, 51 and 8, 68. These points are connected by a line. The label on the x-axis is Number of Towels. The title on the y-axis is Price in dollars.

Which equation can be used to determine p, the cost of t towels?

p = 8.50 + t

t = 8.50 + p

t = 8.50p

p = 8.50t

Points earned on this question: 0

Question 9 (Worth 1 points)
(04.04 MC)

If a sprinkler waters 1 over 8 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?

2 hours

4 hours

10 hours

16 hours

Points earned on this question: 1

Question 10 (Worth 1 points)
(04.04 MC)

If 2 over 3 ton of gravel covers 3 over 4 of a driveway, how many tons of gravel are required to cover the entire driveway?

1 over 3 ton

1 over 2 ton

8 over 9 ton

11 over 12 ton

Points earned on this question: 1

Question 11 (Worth 1 points)
(04.05 MC)

David measured the height of a window frame as 5.61 feet, but the actual height was 6 feet. What is the percentage of error in David's measurement?

0.39%

0.94%

6.50%

6.39%

Points earned on this question: 0

Question 12 (Worth 1 points)
(04.05 MC)

The regular price of a coat is $40.25. During a sale, the coat was marked 24% off. What was the price of the coat during the sale?

$30.59

$37.85

$40.01

$40.49

Points earned on this question: 0

Answers

Answer:

c= 1.16n

Step-by-step explanation:

j

2. (Please help)If m29 = 97º and mZ12 = 114º, find each measure.
a. mZ1 =
f. m26 =
k. m213=
8
12
b. m2 =
g. m27 =
1. m214 =
1 2 3
>
56
11
16
15
10
c. m3 =
h. mZ8 =
m. m 15 =
9
14
13
d. m24 =
i. mZ10 =
n. m2 16 =
e. m25 =
j. m211 =

Answers

Step-by-step explanation:

a)97

b)83

c)66

d)114

e)83

f)97

g)114

h)66

i)83

j)66

k)83

l)97

m)114

n)66

Can yall plz help me answer this!!!

Answers

Answer:

n= -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4n+2=6(

1

3

n−

2

3

)

4n+2=(6)(

1

3

n)+(6)(

−2

3

)(Distribute)

4n+2=2n+−4

4n+2=2n−4

Step 2: Subtract 2n from both sides.

4n+2−2n=2n−4−2n

2n+2=−4

Step 3: Subtract 2 from both sides.

2n+2−2=−4−2

2n=−6

Step 4: Divide both sides by 2.

2n

2

=

−6

2

n=−3

Answer:

n = -3

Step-by-step explanation:

The first step you want to do is try to get rid of those parenthesis and to do that you want to distribute the 6 into 1/3n and 2/3 and you get

4n + 2 = [tex]\frac{6}{3}[/tex]n - [tex]\frac{12}{3}[/tex]

that can be simplified to

4n + 2 = 2n - 4

subtract 2n from both sides and you get

2n + 2 = -4

subtract 2 from both sides

2n = -6

divide both sides by 2 you get

n = -3

Helpp plzzz!! Identify the corresponding side to side MN.

Answers

Answer:

st i think

Step-by-step explanation:

Answer:

I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?

Solve this equation. Enter your answer in the box.

–24 + 12d = 2(d – 3) + 22

Answers

Answer: The answer should be 4. So it should be written as d = 4. You answer this equation by removing the parentheses, calculating, moving the terms, collect the like terms and calculate some more, then finally divide both sides. Hope this helps!

FFDP, "Under and over it"
. who sings this guys

Answers

Answer:

lol

Step-by-step explanation:

Answer:

Five Finger Death Punch

Step-by-step explanation:

Which expression uses the associative property to make it easier to evaluate 6(3/2 * 1/5)? (50 points)

Answers

Answer:

9/5

Step-by-step explanation:

Associative property of multiplication:

(ab)c = a(bc)

It makes calculations easier by by grouping easy ones. Applying to given expression:

6(3/2 * 1/5) =(6*3/2)*(1/5) = 9*1/5 = 9/5

Answer:

(6*3/2)1/5

Step-by-step explanation:

A-P-E-X

3.6.2 CST

What is the answer for this one

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

......the answer is 6......

which expression is equivalent to 8c+6-3c-2

Answers

Answer:5c+4

Step-by-step explanation:

An electric current of 0.25 A passes through a circuit that has a resistance of
150 (ohm math symbol). According to Ohm's law, what is the voltage of the circuit?
A. 150.3 V
B. 0.002 V
C. 600 V
D. 37.5 V

Answers

Answer: 37.5 V

Step-by-step explanation:

last season, your favorite basketball team won 20 games. So far this season, your favorite basketball team has won 31 games. What is the percent change in the number of games that your favorite team won from last season to this season?

Answers

Answer:

There is a 55% increase in the number of games.

Step-by-step explanation:

Step 1: Calculate the change (subtract old value from the new value)

Step 2: Divide that change by the old value (you will get a decimal number)

Step 3: Convert that to a percentage (by multiplying by 100 and adding a % sign)

Answer:

20=100%

31=x

31*100/20=155%

Step-by-step explanation:

A video rental store charges a $20 membership fee and $2.50 for each video rented. Find the slope and y-intercept for the data. (hint: create a table or graph comparting the total cost per video rented).

slope:

y-intercept:

Answers

Answer:

y=2.50x+20

Step-by-step explanation

Slope intercept equation is = y=mx+b

So you BEGIN with 20, which is your membership fee (it only gets charged once) then your mx is your slope. 2.50 is your slope because they earn 2.50 for each (x) video rented.  

you place a number beside the x for each video rented. For example, if you rent 2 videos then you write this y=2.50(2)+20

Answer:

slope:2.50

y intercept:20$

Step-by-step explanation:

Consider the equation Ax+By=−36. If the x-intercept is (−3,0) and the y-intercept is (0,9), what are the values of A and B?

Answers

Answer:

A= 12

B = -4

Step-by-step explanation:

( -3,0) & (0,9) should satisfy the equation Ax + By = -36

when ( -3,0)

-3A+ 0 = -36

A = 12

when (0,9)

0 + 9B = -36

B = -4

The value of A and B is 12 and -4.

Given that,

The equation is Ax + By = -36.And, the x-intercept is (-3,0) and the y-intercept is (0,9).

Based on the above information, the calculation is as follows:

Ax + By = -36

When (-3,0)

So,

-3A+ 0 = -36

A = 12

Now  

when (0,9)

So,  

0 + 9B = -36

B = -4

Therefore we can conclude that the value of A and B is 12 and -4.

Learn more: brainly.com/question/3334417

3x + 7 = - 20 solve this equation

Answers

Answer:

3x + 7 = -20

3x = -20-7

3x = -27

3x ÷ 3 = x

- 27 ÷ 3 = -9

x= -9

can someone help me in solving this with explanation please.. i really need it and i will be so thankful

Answers

Answer:

The correct answer is C: 5 root 2

Step-by-step explanation:

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