in a class 3/5 of the pupils are boys. If there are 24 girls,how many boys are there in the class ?​

Answers

Answer 1

Answer:

36 boys

Step-by-step explanation:

let x be the number of pupils in the class , then

[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )

3x + 120 = 5x ( subtract 3x from both sides )

120 = 2x ( divide both sides by 2 )

60 = x

Then

number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36


Related Questions

the coordinates of three vertices of a rectangle are -2, 3, -2, -1, and 3, -1. what are the coordinates of the fourth vertex

Answers

Answer:

(3,-5)

Step-by-step explanation:

We first cal ulate the distance

The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

[tex]C=28.3m[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=9m[/tex]

Radius[tex]r=4.5m[/tex]

Generally the equation for Circumference of a circle is mathematically given by

[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]

[tex]C=28.3m[/tex]

Answer:

Step-by-step explanation:

From the question we are told that:

Diameter

Radius

Generally the equation for Circumference of a circle is mathematically given by

Have a good day

Step-by-step explanation:

What portion of shared $7500 security costs should be apportioned to store A?

Answers

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

Liz earns a salary of $2,300 per month, plus a commission of 3% of her sales. She wants to earn at least $2,500 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.

Answers

Answer:

she needs 200 more$

Step-by-step explanation:

what is the smallest number that can be subtracted from 376234 to make it divisible by 11​

Answers

Answer:

Odd:: 8+7+9=24

Even:: 2+8=10

So difference of odd and even is 24-10=14

Reducing 3 from this will make the difference (14–3) divisible by 11.

So the number to be subtracted is 3

And the number is 82786.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.

Write an algebraic equation to represent the following problem:


Five friends went out to dinner. Each one of them left an $18 dollar tip and they also split the $148 bill evenly. How much did each person pay for dinner?

PLS I NEED THIS!! I'll give brainiest if correct!!!!!!

Answers

Answer:

$47.60

Step-by-step explanation:

[tex]18+\frac{148}{5} =47.60[/tex] ($)

Enter an equation in point-slope form for the line. (4, 4) and (-9, 4) is on the line..​

Answers

Answer:

y=4

Step-by-step explanation:

it's a straight line on y=4

the sum of the 13th square number and the 4th cube number?

Answers

Answer:

13th square number+4th cube number=233

Step-by-step explanation:

[tex]13^{2} +4^{3}[/tex]=233

The value of the sum of the 13th square number and the 4th cube number will be 223.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,

⇒ (13)² + (4)²

Simplify the numerical expression, then we have

⇒ (13)² + (4)³

⇒ 169 + 64

⇒ 223

The value of the sum of the 13th square number and the 4th cube number will be 223.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

I don't really understand it's due soon can someone please help me​

Answers

Answer:

60

Step-by-step explanation:

Given: 1/2a + 2/3b =50

(Since b is equal to 30 we will automatically replace b with 30)

Step 1: Simplify both sides of the equation.

1/2a+20=50

Step 2: Subtract 20 from both sides.

1/2a=50-20

1/2a=30

Step 3: Multiply both sides by 2.

2(1/2a) 2(30)

a=60

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

a = 15

Step-by-step explanation:

1/2(a) + (2/3 x 30) = 50

2/3 x 30 = 20

1/2(a) + 20 = 50

Rearrange > 20 to -20

-20 + 50 = 30

1/2(a) = 30

Rearrange 1/2 to 2

2 > 30/2

30/2 = 15

a = 15

Hope this helps, and please let me know if it is correct or isn't.

Have a nice day

Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.

Answers

Answer:

a) 21/50   -> 42%

b) 7/10  ->70%

c) 3/5 -> 60%

d) 59/100 -> 59%

Step-by-step explanation:

An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.

Answers

Answer:

Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.

so 96/120

48/60

24/30

12/15

so the answer is 12/15

What is 16/5 inches by 10/4 inches in area

Answers

Answer: 8

Step-by-step explanation:

16/5 x 10/4 = 8

Answer:

Area = 8 inches

Step-by-step explanation:

[tex]\frac{16}{5} *\frac{10}{4} = \frac{160}{20} (Reduce) =8[/tex]

The volume of a cylinder is 1280pi cm cubed. The radius is 8cm. Find the missing length.

Answers

Look take a picture of your problem and Brainly will get the answer for u just like that within 3 seconds

Solve the equation 5x - 10 = 25
please tell me the working

Answers

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ6

Which equation has the least steep graph A. y = 2x + 1 B. y = -7x-2 C. y=-3/4x-9 D. y = 1/4x+6​

Answers

Answer:

D. y = 1/4x + 6​

Step-by-step explanation:

In the linear equation y = mx + b, m is the slope.

A graph will be steeper if it has a larger slope, and less steep if it has a smaller slope.

So, to find which equation has the least steep graph, find which one has the smallest slope.

Out of the 4 equations, the smallest slope is 1/4. Although -7 is the smallest number, it still has a steep slope. The negative sign just makes it go in the other direction.

So, the equation with the least steep graph is D. y = 1/4x + 6​

Answer:D

Y= 1/4x +6

Step-by-step explanation:

3x+25=7x URGNET urgenttt

Answers

Answer:

6.25

Step-by-step explanation:

3x+25=7x

3x-7x=-25

-4x=-25

x=6.25

6.25 is the answer.!

Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.

Answers

Answer:

c

Step-by-step explanation:

Diane has $814 in her checking account. If she writes five checks for a total of $287, how much does she have left
in her account?

Answers

Answer:

$527

Step-by-step explanation:

Find how much she has left by subtracting 287 from 814:

814 - 287

= 527

So, she has $527 left in her account

can you please please help me.

Answers

Answer:

yes

Step-by-step explanation:

yes

Answer:

[tex]x=22\text{ and } y=123[/tex]

Step-by-step explanation:

By definition, the interior angles of a triangle must sum to 180°. Therefore:

[tex](2x+13)+(57)+(3x)=180[/tex]

Combine like terms:

[tex]5x+70=180[/tex]

Subtract 70 from both sides:

[tex]5x=110[/tex]

And divide both sides by five. Hence:

[tex]x=22[/tex]

Next, notice that y and the 57° angle form a linear pair. By definition, linear pairs equal 180°. Therefore:

[tex]y+57=180[/tex]

So:

[tex]y=123[/tex]

Alternatively, we can use the Exterior Angle Theorem, which states that the exterior angle is equivalent to the sum of the two interior angles opposite to the exterior angle. In other words:

[tex]y=(2x+13)+(3x)[/tex]

Since we've determined that x = 22:

[tex]y=(2(22)+13)+(3(22))=44+13+66= 123[/tex]

We acquire the same answer.

Marissa went to the store with $20 and returned home with $5.36. If she bought only 3 gallons of ice cream, what was the cost of each gallon of ice cream?

Answers

Answer: $4.88

Explanation: $20.00-$5.36= $14.64

$14.64÷3= $4.88

Help me with this one plz

Answers

Answer:

-1 is the only number there that is an integer as all the rest of them are mixed fractions.

Answer:

- 1

Step-by-step explanation:

Elimination method
a-b=3
2a+3b=b

Answers

Answer:

a=3/2   b=-1 1/2

Step-by-step explanation:

Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.

How many pieces can he cut?


Ignore the answer I put

Answers

Answer:

80

Step-by-step explanation:

Given that :

Length of rope = 16 m

Length per Piece of rope to cut = 0.2 m

The number of pieces of rope that can be cut :

Length of rope / length per piece of rope

16 / 0.2

= 80

Hence, 80 pieces of 0.2 m rope will be cut

3^8 times 3^2, using properties of exponents

Answers

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

Quick, What is the value of x?

A. 2
B. 3
C. 6
D. 7

Answers

Answer:

Im pretty sure the answer is b using the formula

525/4 ÷ 35/4 need the answer quick​

Answers

Answer:

15

Step-by-step explanation:

525/4 ÷ 35/4

=525/4 x 4/35

=525/35

=105/7

=15/1

=15

I need help please please!!!

Answers

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

Question 1 Multiple Choice Worth 1 points)
(01.05 LC)
Solve for x: -7 < X -1 <8

Answers

Answer:

-6 < x <9

Step-by-step explanation:

-7 < X -1 <8

Add 1 to all sides

-7+1 < X -1+1 <8+1

-6 < x <9

Answer:

D

Step-by-step explanation:

Can someone pls help me!

Answers

Answer: y =2x-5

Work:

2x-y=5

-y=-2x+5

-1y/-1 = -2x+5/-1

y =2x-5

hey guys ... just want to make this answer sure... subtract 2x²+3x+6 from 3x²+5x+7=? A)x²+2x+1 or
B)x²+8x+13​

Answers

Answer:

answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1

= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms

= x² + 2x + 1 → A

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