The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer 1

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

--

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.


Related Questions

What is the charge on an object that has 1. 25 * 10 ^-17.

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Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.

Step-by-step explanation:

Which relation is a function?]
NO LINKS

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Answer:

first one

Step-by-step explanation:

use the vertical line test, and the first one is a quadratic function

Answer:

The first one.

Step-by-step explanation:

By using the vertical line test, you can see that the first one is the only relation that's input's go to only one output.

What is four thirds -2/5

Answers

Answer:

14/15

Step-by-step explanation:

You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15

What is the measure of _____?​

Answers

Answer:

112°

Step-by-step explanation:

3x+22+2x+8=180

5x+30=180

5x=150

x=30

3x+22

3(30)+22

90+22

112

pls help asap MIDSEGMENTS

Answers

Answer:

Angle 5=60°

Step-by-step explanation:

Angle 4 = 180°-116° (adj angles on a str line)

= 64°

Angle 5 = 180°-64°-56° (angle sum of triangle)

= 60°

Answer:

<5 = 60 degrees

Step-by-step explanation:

<4 = 180-116 = 64 degrees

64 + 56 + <5 = 180 degrees

<5 = 180-56-64

I NEED THE ANSSWER ASAP!!

Which situation would best be represented by positive 32?​

Answers

D. Spending, dropping, and decreasing all signal subtraction. D is the only reasonable answer

y = –15x + 375.
Graph the linear equation.

Answers

Answer:

the required graph is in the attachment.

Step-by-step explanation:

Describe the solutions in words to the inequality 4 < c + 2
A. All real numbers greater than 4
B. All real numbers less than 2
C. All real numbers less than 4
D. All real numbers greater than 2

Answers

Answer:

All real numbers are greater than four

Step-by-step explanation:

4+2=6

HELP PLS! At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of $20. What prizes should the tickets be sold for if the goal is to make the raffle a fair game?

Answers

Step-by-step explanation:

I assume "fair game" means that there is no profit and the expenses are equal to the income or sales.

we have clear expenses :

1× $100

3× $20

that is in total : $160

now we need to make sure that we generate exactly $160 by selling the tickets.

we have 100 tickets that should lead to $160.

how much should 1 ticket cost ?

well, 160/100 = $1.60


HELP PLSSSSSSSSSSSS

Answers

Answer:

just open a spreadsheet and put the numbers of students in one line, and the hours worked on another, and select all and create a graph

Step-by-step explanation:

Find the highest common factor and lowest common factor of 78 and 130

Shown method would be great thankss :))

Answers

Answer:

The GCF is 26 and the least common factor is 390

Step-by-step explanation:

The GCF is 26 because 2, LCF is 390 because 78x5 equal 390 and 130x3=390.

Carey and Patrick both borrowed money from Melinda. Carey owes Melinda $25.00. Patrick owes Melinda 3/4 the amount that Carey owes. How much does Patrick owe Melinda?

Answers

Answer:

$18.75

Step-by-step explanation:

multiply 25 * 3/4 ( 0.75) and you get 18.75

someone please help me

Answers

Answer:

FOURTH ONE DOWN

Step-by-step explanation:

Basically the the format is (vertical / horizontal), so CB and AD are both gonna be denominators (the bottom of the fraction).

** also next time please take a better picture i had to squint my eyes so hard **

During winter vacation the 5 member of the scott family went on vacation to a ski resort. They drove 336 miles in 7 hours. What was their averge speed?

Answers

Answer:

48 miles/hour

Step-by-step explanation:

(336 miles)/(7 hours) = 48 miles/hour

Answer:

the average speed is 336 devided by 7 then you get the answer

I need answers for number 1.

Answers

Answer:

11^9

Step-by-step explanation:

the table shows the price x (in dollars) of a product at several different stores and the profits y (in dollars) generated by seeing the product. use a graphic calculator to write a function that models the data. Round each value in your function to the nearest hundredth. The equation is y=___​

Answers

Regression equations are used to represent the relationship between the x and y variables.

The regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]

Using a graphing calculator, we have the following parameters

Sum of x: [tex]\mathbf{\sum x = 269}[/tex]Sum of y: [tex]\mathbf{\sum y = 3170}[/tex]Mean of x: [tex]\mathbf{\bar x = 38.4286}[/tex]Mean of y: [tex]\mathbf{\bar y = 452.8571}[/tex]Sum of squares: [tex]\mathbf{SS_x = 1679.7143}[/tex]Sum of products: [tex]\mathbf{SP = -648.5714}[/tex]

The regression equation is represented as:

[tex]\mathbf{y =bX +a}[/tex]

Where:

[tex]\mathbf{b = \frac{SP}{SS_x}}[/tex] and [tex]\mathbf{a = \bar y-b \times \bar x}[/tex]

So, we have:

[tex]\mathbf{b = \frac{-648.5714}{1679.7143}}[/tex]

[tex]\mathbf{b = -0.39}[/tex]

Also, we have:

[tex]\mathbf{a = \bar y-b \times \bar x}[/tex]

This gives:

[tex]\mathbf{a = 452.8571 - (-0.39 \times 38.4286) }[/tex]

[tex]\mathbf{a = 467.84}[/tex]

Substitute values for (b) and (a) in [tex]\mathbf{y =bX +a}[/tex]

[tex]\mathbf{y =-0.39X +467.84}[/tex]

Hence, the regression equation is [tex]\mathbf{y =-0.39X +467.84}[/tex]

See attachment for the scatter plot

Read more about regression equations at:

https://brainly.com/question/7656407

Make b the subject of P = 1/2 a b² + c where b is positive. (3 marks)

Answers

That’s the answer to the question

Can you help me i dont know thw anwser

Answers

[tex]\text{Let the side of square 1, square 2 and square 3 be x, y and z respectively.}\\\\\text{Given that,}\\\\\text{Perimeter of square 1,~~ p =100 units.}\\\\\text{So}~ x=\dfrac p 4 = \dfrac{100}4 =25~\text{units.}\\\\\\\text{Area of square 2, a = 225 units}^2\\\\\text{So}~y = \sqrt{a} = \sqrt {225} = 15~ \text{units.}\\\\\text{Use Pythagorean theorem to find z}^2\\\\x^2 =y^2 +z^2 \\\\\implies 25^2 = 15^2 +z^2\\\\\implies z^2 = 625 - 225 = 400\\\\\\[/tex]

[tex]\text{Hence the area of square 3 is 400 units}^2.[/tex]

Answer:

  400 square units

Step-by-step explanation:

The side length of square 1 is 1/4 of its perimeter, so is 100/4 = 25 units. The area of square 1 is the square of the side length, so is 25² = 625 square units.

The area of square 3 is the difference in the areas of squares 1 and 2. This is due to the Pythagorean theorem.

  area 3 = area 1 - area 2

  area 3 = 625 -225

  area 3 = 400 . . . . square units


Three numbers are in the ratio 3.5 7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Use an algebraic
solution to find the numbers

Answers

Answer:

6,10,14

Step-by-step explanation:

Select the correct answer.
Which statement is a converse of p?
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades.
A. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade.
B. If every fourth card drawn isn't a spade, then 25% of the cards in a deck aren't spades.
C. If 25% of the cards in a deck aren't spades, then every fourth card drawn wouldn't be a spade.
D. If every fourth card drawn isn't a spade, then 75% of the cards in a deck are spades.

Answers

C is the correct answer.

The rectangle PQRS is dilated by a scale factor of 34 first, and then reflected across the y-axis to form rectangle P'Q'R'S'.


What are the coordinates of the transformed rectangle P'Q'R'S'?

A.
P'(−1.25,−1.25), Q'(−5.25,−1.25), R'(−5.25,−3.25), S'(−1.25,−3.25)
B.
P'(−1.5,1.5), Q'(−4.5,1.5), R'(−4.5,3), S'(1.5,−3)
C.
P'(1.5,−1.5), Q'(4.5,−1.5), R'(4.5,−3), S'(1.5,−3)
D.
P'(−1.5,−1.5), Q'(−4.5,−1.5), R'(−4.5,−3), S'(−1.5,−3)

Answers

Answer:

The answer should be A.

Step-by-step explanation:

I'm strictly only going off the coordinates you gave relying on the information displayed by the question. Also, the coordinates are backwards, anyways if -5.25 portrays Q and R, it should be the correct answer. (This is simply an estimate, not a guaranteed answer because there is no graph presented.)

Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Chloe's birthday.

Answers

Answer:

3 chocolates each night

Step-by-step explanation:

C-3

t-1

Find the intercept the slope of this line.

Answers

Answer:

the last option

Step-by-step explanation:

TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?

Answers

Answer: false.

Step-by-step explanation:

it's only a terminating decimal if you end up with a remainder of 0.

How would I go from 22 to 11 in my table?


Divide by 2.


Multiply by 2.


Multiply by 22.


Divide by 22.
WILL MARK BRAINLY

Answers

Answer: divide 2

Step-by-step explanation:

3/10 = ___ x 1/10
pls help i'll give brainiest

Answers

Answer:

1/10 x 30/10=30/100 then simplify =3/10  

Step-by-step explanation:

Hope I helped please mark brainliest!

The answer is 3

1 3
—-x 3 = ——
10 10

3 is equivalent to 3/1=3 You have to see how many times can 1 go into 3 which is 3 (1x3=3)
—-
1



12. The number of miles, y, traveled varies directly as time, x. If a group of tubers floating down the river traveled 9 miles

in two hours, how far would they travel in 5 hours? Write and solve a direct variation equation for this situation

y= 9/2x; x=10/9

y=2/9x; x=22.5

y=2/9x; y=10/9

Oy=9/2; y=22.5

Answers

Answer: y=2/9x; x=22.5

Step-by-step explanation:

Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).

Distance,y = (Speed)*(Time, x)

y = (Speed)x

y = (9/2)x

If x = 5 hours,

y = (9/2)*5, or 22.5

y=2/9x; x=22.5

Can someone help please no links

Answers

Answer:

-4 or 4 I would have to go with-4!!

Step-by-step explanation:

I hope this helps in any way!!

State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.

refer to attachment

Answers

Answer:

SU ≅ RPΔPQR ≅ ΔUTS

Step-by-step explanation:

For SSS congruence, all three pairs of sides must be marked as congruent. That is, there needs to be 3 hash marks on sides SU and RP. (Note the order of the vertices.)

  needed: SU ≅ RP

If we label the triangles in order by hash marks, the congruence statement becomes ...

  ΔPQR ≅ ΔUTS

here is a screenshot please help 15 points

Answers

Length is 2 cm and angle is 135
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