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

4) Mason paid $54 for 9 lbs. of steak, and
Isabella paid $72 for 6 lbs. Which person
paid a greater ratio of dollars/lbs. of steak?

Answers

Answer:

Isabella paid more.

Step-by-step explanation:

$72/6 = $12.67

She paid twelve dollars for 1 lb of steak while Mason paid 6 dollars for 1 lb.

Answer:

Isabella has a greater ratio of dollars/lbs

Step-by-step explanation:

Mason paid $6/1 lb

Isabella paid $12/1 lb

Hope this helps!

pls help asap MIDSEGMENTS

Answers

Answer:

tttttttttttttttttttttttttttttttttttttttttttttt

What is -x-y=5 in function form solving for y

Answers

Answer:

f(x) = - x - 5

Step-by-step explanation:

- x - y = 5 ( multiply through by - 1 )

x + y = - 5 ( subtract x from both sides )

y = - x - 5 , that is

f(x) = - x - 5

(8+ 4)divided by 2 - 3

Answers

Answer:

3

Step-by-step explanation:

(8 + 4) / 2 - 3

12 / 2 -3

6 - 3

3

Answer:

3

Step-by-step explanation:

You do the parenthesis first (8+4)

Then you divide 12 by 2 if you are following Pemdas

6 - 3 = 3

Hope this helped!

I NEED HELP
Jayden’s grandmother gave him a $75 gift card for his birthday. He has spent a total of $38 so far. He wants to spend the rest of the money on baseball caps. Write an inequality that can be used to find the number of baseball caps Jayden can buy with the money he has left on the card if each baseball cap costs $9.49.

Answers

Answer:

38+9.49x < or = 100

Step-by-step explanation:

In a class of 38. Student, 15 play bockey and twice is mang play basketball Each student in the class Plays either backey or basketball

Answers

Thanks for the time of they day answer is 3

a glass has a radius of 3. a rectangular tray dimensions are 36 by 24. how many glasses can fit on the tray

Answers

Answer:

24.

Step-by-step explanation:

The diameter of the glass = 3*2 = 6.

So 36/6 = 6 glasses can be fitted along the length,

- and 24/6 = 4 can be fitted along the width of the tray.

So the number of glass that can fit on the tray = 6*4 = 24.

help meeeeeeeeeeeeeee i wll give brainly ponits

Answers

✍️Answer:

<ABC = [ 52° ]

not sure but

hope it helps!

Answer:

[tex] \: [/tex]

∆ ABC → 132 °

Step-by-step explanation:

Given : ∠DBC = 48°

Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘

Therefore,

∠ABC + ∠DBC = 180°

∠ABC + 48 ° = 180° [ ∠DBC = 48° ]

∠ABC = 180° - 48°

∠ABC = 132°

Equation -5+2 = -3 5+(-2) = 3 2+(-5)=-3 -3+5=2​

Answers

Answer:

false

Step-by-step explanation

:

What is the slope of the line?

Answers

Answer:

thanks

Step-by-step explanation:

Can someone please help me with this?

Answers

Obviously, Ali is correct. Khamis did a mistake, he forgot the negative sign of  - 5, when he divided b. He should have let - 5b and divided it by - 5 like ali did.

Good Luck

help pleaseeeeeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

ford would be 250 in metres and the decimal would be the smallest

jerry, Simon, curst, carl, ford

Mira weighed 9 lb 4 oz and lost 2 lb 12 oz. How much did she weigh now?

Answers

Answer:

6.5lb or 6 lb 8oz

Step-by-step explanation:

 

What is the perimeter of the L-shaped figure?
Please answer without using a link.

Answers

Answer:

3a+4+4+6+2a

5a+14

Step-by-step explanation:

hope i got it right

Step-by-step explanation:

we know,

perimeter = sum of all sides

so a/q perimeter of the given figure is

→ 3a + 4 + 4 + 6 + a + 4 + 2 + 2a

→ 6a + 20

therefore, perimeter of the given figure is 6a + 20.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

5) You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a three.independent or dependent?

Answers

Answer:

Happy Chrismas My friend.

Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answers

Answer:

Step-by-step explanation:

First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:

[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]

Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.

[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]

HOPE THIS HELPS :D

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.

We know that if two angles of any triangle are the same then their opposite sides are also the same.

Let each side length of x ft. Then by the Pythagoras theorem. we have

[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

The volume of a box is given by V=3x^3 + 33x^2 + 84x. Determine expressions for a possible set of dimensions for this box.

Answers

Answer:

(-7,0) (-4,0)(0,0)

Step-by-step explanation:

A car travels 60 miles per hour. What is the total distance the car will travel in 60 minutes?

Answers

Answer:

The car will drive 60 miles in 60 minutes (an hour)

Step-by-step explanation:

For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes

[tex]\sf 2x+21=3[/tex]




Free

Answers

[tex] \sf \longmapsto \: 2x + 21 = 3[/tex]

[tex]\sf \longmapsto2x = 3 - 21[/tex]

[tex]\sf \longmapsto2x = - 18[/tex]

[tex]\sf \longmapsto \: x = \frac{ - 18}{2} [/tex]

[tex]\sf \longmapsto x = - 9[/tex]

Answer:

[tex]\bf x=-9[/tex]

Step-by-step explanation:

[tex]\sf 2x+21=3[/tex]

Subtract 21 from both sides:-

[tex]\sf 2x+21-21=3-21[/tex]

Simplify

[tex]\sf 2x=-18[/tex]

Divide both sides by 2:-

[tex]\sf \cfrac{2x}{2}=\cfrac{-18}{2}[/tex]

[tex]\sf x=-9[/tex]

5.
Is the data point, P, an outlier, an influential point, both, or neither?

Answers

Answer:

outlier

Step-by-step explanation:

it is way to far away to be any of those other options. that means it is an outlier.

Just this one question please There is no more. NO BOTS PLEASEE

Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?

Answers

Answer:

So that other people cannot use their music without the artists permission and usually payment.

Step-by-step explanation:

I'm not sure but this is my best answer!

Mrs. Thompson deposited $150 000 for three (3) years in a savings account at the bank at a compounded interest rate of 20% per annum. ∙ At the end of the first year, she withdrew $40 000 to pay her daughter’s university fees. ∙ At the end of year two, she deposited an additional $25 000 to the account. Calculate the amount she has in her account at the end of the three years.

Answers

Answer: 150,000 x3=450000 and 40,000-25,000=65000

65,000+450,000=515000 thats your answer

Step-by-step explanation:

Water drains from a 60 gallon bath tub at a constant rate. It empties in 5

minutes. What is the rate?

Help me pls

Answers

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

List the multiples of 6 between 6 and 54
in order from least to greatest.
Multiples of 6: 6.
?
.24.
?
?
42,
?
54

Answers

Answer:

12, 30, 36, 48

Step-by-step explanation:

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

Can someone pls help me
Please show your work

Answers

Answer:

-5=x

Step-by-step explanation:

Angle 105º = (110+x)º

Solve for x.

105=110+x

Subtract 110 from both sides of the equation.

-5=x

Hope this helps :)

-5

110+x=105
-110 -110

X=-5


Find the slope of the line that passes through (10, 6) and (1,2)

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]

645 plus 763 to the nearest hundredth

Answers

Answer:

1408

What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong

Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10

Answers

Answer:

y = 7x + 3

Step-by-step explanation:

A slope of 1/7 will give you a line that is not very steep.  Therefore C and D is not the answer.

Now look at  A and B.  Check point (1, 10) into equations A and B  because this point is on the given graph.

y = 7x + 3                                    y = 7x + 10

y = 7(1) + 3                                   y = 7(1) + 10

y = 7 + 3                                      y = 7 + 10

y = 10      (1, 10)                             y = 17            (1, 17)

if a man travels at an average speed of 122km per hour how far will he travel in 3 hours and 45 minutes​

Answers

Convert 3h and 45 min to hours so it will be 3.9 hours

Then say:
Distance = speed ✖️time
= 122 km/h ✖️3.9h
=475.80 km
He will travel 475.80 km

Hope this helps ;)
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