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 equation is graphed in this figure?

· y-4= -1/3(x+2)

· y-3= -1/3(x+1)

· y+2= -3(x-1)

· y-5=3(x-1)​

Answers

Answer:

y-5=3(x-1)

Step-by-step explanation:

I hope it helped

help me please i’ll give you a brain list thingy thank youu

Answers

Answer:

Are the triangles similar?

1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate

2) SAS Postulate

3) congruent by ASA Postulate

4) SSS Postulate

5) congruent by AAS Postulate

6) SAS Postulate

Isosceles and Equilateral Triangles

1)  by isosceles something triangle theorem

if two angles of opposite sides are congruent the sides opposite of those are congruent.

4x-12=20

x=8

2) Triangle Sum Theorem - all angles add up to 180.

with Isosceles triangle theorem.

x= 70 degrees

y= 40 degrees

3)  2x-14 = x+17 ( I think )

x=34

4) The picture is cut out.

Step-by-step explanation:

Which table is not a proportional relationship

Answers

Answer:

B and D

Step-by-step explanation

Answer:

D

Step-by-step explanation:

sequence in the earnings is unproportional difference between 27 and 54 is not 9

Nicole was given a box of assorted chocolates for her birthday. Each night, Nicole
treated herself to some chocolates. There were originally 24 chocolates in the box and
Nicole ate 3 chocolates each night. Make a table of values and then write an equation
for C, in terms of t, representing the number of chocolates remaining in the box t
days after Nicole's birthday.
Number of Days After Nicole's
Birthday
Number of Chocolates Remaining in the
Box
0
1
2
3

Answers

Step-by-step explanation:

T  |  0   |   1    |  2   |  3   |

C  | 24  |  21  |  18  |  15  |

Rule:

To find a rule, we need to find 2 things- what T is multiplied by and what is added.

To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.

To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.

We write a rule as:  y = mx + c, or in this case, c = mt + a

So the rule is c = -3x + 24

Explain why a step in solving the equation 4n= -36 is to divide both sides by 4. Then solve the equation

Answers

The correct value of ''n'' in this equation will be -9

Step-by-step explanation:

In order to find the value of ''n'' in this equation of the first degree, just isolate ''n'', and divide the right side into the left side of the equation:

Resolution:

[tex]\large \sf 4n= -36[/tex]

[tex]\large \sf n= -36\div4[/tex]

[tex]\large \sf n= \dfrac{-36}{4}[/tex]

[tex]\boxed{\boxed{{\large \sf n=-9}}}[/tex]

So we can conclude that the value of ''n'' in this equation will be -9

types of vertical mirrors​

Answers

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

(ASAP) i also need help with this plss

Answers

Answer:

The right answer is 32

Step-by-step explanation:

3/4 × 32 = 24

Answer:

18

Step-by-step explanation:

divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18

find the total tax to the nearest cent $58 bill; 20% tip

Answers

Answer:

$ 68 $ 58

Step-by-step explanation:

I'm not sure answer is $ 68 $ 58

b
– 2 =
7
8

Write your answer as a fraction or as a whole or mixed number.

b =

Answers

Answer:80

Step-by-step explanation:

The product of 6 and the sum of a number and 3 is 60

Answers

Answer:

8(x+3) is the answer

Step-by-step explanation:

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The product of 6 and the sum of a number and 3 is 60.

Let the number be 'x'. Then the equation is written as,

6(x + 3) = 60

Simplify the equation, then the value of the variable 'x' will be calculated as,

6(x + 3) = 60

x + 3 = 60 / 6

x + 3 = 10

x = 10 - 3

x = 3

The equation is 6(x + 3) = 60. Then the solution of the equation is 3.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Solve (x-1)(x+5)=0 using zero product property

Answers

the answer is 1 im pretty sure

Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip

Answers

Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

The value of the digit 8 in 1,857 is how many times the value of the digit 8 in 3,083?

Answers

Answer:

10 times

Step-by-step explanation:

The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.

Can y’all figure this out while I help my fam hang up a chrismus tree :)

Answers

it’s C. Parsimony means extreme unwillingness to spend money or use resources.

I need help with these two questions!! HELP

Answers

Answer:

AB and GF are skew

DH and BF are II

EF and HG are skew

ABCD and EFGH are II

Step-by-step explanation:

II is parralell or side by side.

Skew would be like intercepting with one another.

Have an awesome day! :D

In a raffle, 100 tickets are sold and 10 of the tickets, selected at random, win a $5 prize. A participant buys one ticket. What is the standard deviation of the amount won?

Answers

I think the answer is 260

Which expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²

hurry please im timed whoever gets the correct answer ill give brainliest

Answers

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

Are repeating decimals like 34.79 rational numbers?

Answers

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Answers

Answer:

13 ≈ 10 miles

Step-by-step explanation:

Have a nice day

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

Which general rule should you follow as you collect variable terms on one side of an equation?

Answers

Answer:

You should always Use addition or subtraction to separate the variable on one side of a equation.

Step-by-step explanation:

A researcher wants to study the effect of weather on college students' study habits. On a sunny day, the researcher sits in the quad and records the number of minutes of study per student. Identify the crucial element missing in this design.

Answers

In this experiment design, the missing element is the control group.

In most experiments, the researcher will need to have a control group and an experimental group.

The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.

This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.

The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.

Learn more in: https://brainly.com/question/17475243

If 2/15 is 40 then 1/15 is?

(Sorry I know this is a easy question but my brain isn't processing the question right now so I need help)

Answers

Answer:

20

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] = 40

[tex]\frac{2}{15}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{1}{15}[/tex]

40 ÷ [tex]\frac{2}{1}[/tex] = 20

How to multiply decimal numbers.

Answers

Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation: Hope it helps!!!!

order -9, -16, -13, 0 from least to greatest

Answers

Answer:

_16,-13,-9,0

Step-by-step explanation:

hope this helps u out!!

Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use the benchmark numbers -6 and 1, and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Answers to choose Please help me.

Answers

Use rounding to get -6(0.2), and then multiply.

Use compatible numbers, such as -6(0.5), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Estimate -6.1(0.22)

Answer:

Use rounding to get -6(0.2), and then multiply.

Use front-end estimation to get -6(0.2), and then multiply.

Round the factors to the nearest whole number, and then multiply.

Step-by-step explanation:

Actual answer:

-6.1(0.22) = -1.342

Estimate answer:

-6 (.2) = 1.2

Answer:

A B D

Step-by-step explanation:

integer operations
11. -60
12. 10
13. -9
14. 14
15. 37

Answers

Answer:

[tex]11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100} [/tex]

The Running Aces card team won $548 dollars playing in poker tournaments last year. The winnings were split evenly among the p players.
How much money did each player receive?
Write your answer as an expression.

Answers

Since the question doesnt give the amount of players on the team we can just say that each player was given 548/p dollars.

Find the monomial if the expression is a cube of that monomial (find the cube root)

-27/64a^9b^6
-0.0001a^3n+3
I can't figure this out and need helppppppppp

Answers

Answer:

first one is -3/4a^3b^2

Step-by-step explanation:

i dont know the second one and i need help on that one too im sorry

The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

the expression are;

1. - 27/64 a⁹b⁶

2. - 0.001 a³n³ⁿ⁺³

Now,

Solve the expression as;

1. - 27/64 a⁹b⁶

Take cube root, we get;

∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²

                     = - 3/4 a³b²

And,  - 0.001 a³n³ⁿ⁺³

∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹

                         = - 0.1 aⁿ⁺¹

Thus, The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

Learn more about the monomial visit:

https://brainly.com/question/17822565

#SPJ2

If Lucy runs 1 mile in 6
minutes, how many miles
will she run in 23 minutes?

Answers

3 and 1/8 of a mile

Please help! WILL MARK BRAINLIEST

Answers

Answer:

2nd option is correct

.........................

Answer:

1 1/9 ft^3

Step-by-step explanation:

5/3*1*2/3=10/9*1=10/9

10/9=1 1/9

Other Questions
Which of the following systems does NOT excrete some form of waste ?A: Urinary B: IntegumentaryOr C: Skeletal Mega Corporation repurchased 1,000 shares of its $1 par value common stock for $8,000. The effect of this transaction on the accounting equation includes a(n) ______. (Check all that apply.) Multiple select question. decrease in assets increase in assets increase in liabilities decrease in stockholders' equity increase in stockholders' equity decrease in liabilities Describe the two categories used to classify physical changes. based on the magnetic field line diagrams, what will happen next with these two sets of magnets? Select the statements which could describe the graph of a nonproportional relationship. bonding and kinetic energy quick check1. The internal energy within a system associated with the motion of particles and that can be added to a substance is called (1 point) o temperature O kinetic energy O thermal energy O electrostatic forces2. which statement describes the effect of adding more energy to a system, assuming a phase change does not occur? 0 the particles within the system will have greater motion and the temperature will increase 0 the particles within the system will have greater motion and the temperature will be grace 0 particles within the system will have less motion and the temperature will increase 0 the particles within the system will have less motion and the temperature will decrease 3. which statement correctly describes how a tractions that holds particles break0 attractions occur due to gravitational forces when particles move fast enough these forces can no longer keep particles together0 attractions due to Electrostatic forces when particles move fast enough these forces can no longer keep particles together 0 attractions due to electrostatic forces when particles have low enough energy these forces can no longer keep particles together0 attractions occurred due to gravitational forces when particles have low enough energy these forces can no longer keep particles together 4. Which statement explains why a rubber band analogy is not a perfect comprehension for Bonds in a substance when considering phases change0 for a phase change from solid to liquid the bonds do not break completely and particles can still slide past each other0 for a phase change from liquid to gas the bonds do not break completely the particles can still slide past each other 0 for a phase change from liquid to gas the bonds break completely and of particles can independently of each other 0 phase change from solid to liquid the bond breaks completely particles can move independently of each other 5.the boiling point of benzene is 80C. which pair of samples will have the same average kinetic energy of benzene molecules? 0 two samples of gaseous benzene, at 80C and the other 90C0 two samples of liquid benzene, one at 70C and the other at 800 a sample of liquid benzene at 70C and a sample of gaseous benzene at 90C0 a sample of liquid benzene at 80C and a sample of gaseous benzene at 80celectric How many sulfur atoms are there in 25 molecules c4h4s2?. . What are the benefits of the European Union? pleas help on the second ASAP it was due yesterday.. i dont even understand how to do any of it and i will give brainliest How are traits inherited?Please explain thoroughly Can someone solve this for me please? I would be very thankful which of the following terms would best describe the suppression of one's own interest or desires. Write an example of how a density-independent factor can decrease a population of cherry trees In what way is The House Of Burgesses a "first"? In the figure, parallelogram PQSR and Triangle PQT are standingon the same base and between, the same parallel lines. Thearea of triangle PQT is 50 cm?. Find the area of Triangle PRS. please help me :) there is a picture Do you think that dream of Martin Luther King jr has been fulfilled Please help! timed test. will mark brainliest! :)Which statement about the results of the Crusades is not true? a. Europeans learned about science and medicine from the Islamic world. b. Tensions between Jews and Christians increased because Crusader armies had slaughtered Jews. c. The Holy Land remained firmly under the control of Christian Crusaders. d. Muslims and Christians blamed each other for the series of bitter wars.no links plz two tanker contains 700 L + 750 mL of milk respective find the maximum capacity of a container which the musical each container exact number of time Which words help you COMPARE two things?which, whose, wheninstead, on the other hand, howeveralso, likewise, as wellagainst, to, upon