The number of boys and girls in a class are in the ratio 4 : 7. There are 15 more girls than boys. find the number of total students in the class

Answers

Answer 1

Answer:

The number of total students in the class is 55

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The number of boys and girls in a class are in the ratio 4: 7

∵ There are 15 more girls than boys

→ That means the difference between them is 15

∵ The difference between the terms of their ratio = 7 - 4 = 3

→ By using the ratio method

→  boy  :  girl  :  difference

→  4      :  7      :  3

→  x      :  y      :  15

→ By using cross multiplication

x × 3 = 4 × 15

∴ 3x = 60

→ Divide both sides by 3

x = 20

y × 3 = 7 × 15

∴ 3y = 105

→ Divide both sides by 3

y = 35

x represents the number of boys

∴ The number of boys is 20

y represents the number of girls

∴ The number of girls is 35

∴ The total number of students = 20 + 35 = 55

The number of total students in the class is 55


Related Questions

"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"

If J represents John's age, then which of the following equations could be used to solve the problem?

J + 15 = 3J - 1
3(J + 15) = J - 1
J + 15 = 3(J - 1)

Answers

J + 15 = 3(J - 1)

This is the answer.

4. Mariana receives a $20 gift card for
downloading music and wants to
determine how many songs she can
purchase. Each downloaded song costs
$1.29
a.
Let m represents the number of songs
downloaded. Write an inequality that
represents this given situation?
b. What is the maximum number of songs
Mariana can download?

Answers

Answer:

inequality-    1.29m <20

maximum number of songs- 15 songs

Step-by-step explanation:

For the inequality, you see that she only has $20 so whatever she buys has to be below that so use the less than sign. You also see that each song is worth $1.29 so 1.29m. For the maximum number of songs, you divide 20 by 1.29 and just ignore the remainder.

Answer:

c

Step-by-step explanation:

Which graph can be used to find the solution of the following system of equations?

Answers

Answer:

A

Step-by-step explanation:

1. Honestly, my course of action, if allowed to, would be to use my graphing calculator. Obviously, you can graph the first equation but the second one requires some rearranging, keeping in mind that we are isolating the y.

[tex]2y-2x=10[/tex]

[tex]2y=2x+10[/tex]

[tex]y=x+5[/tex]

So now we have an equation of the line. Simply enter both of these equations into your graphing calculator and you're all set.

I hope this helps!

Which of these improper fractions is between 4 and 5? How do I know. 13/3 13/4 13/5 13/6

Answers

13/3?

I think it is but so you put 13/3 into a proper fraction so 4 1/3

The improper fraction that lies between 4 and 5 given the values in the option is 13/3.

What are the improper fractions that lie between 4 and 5?

Improper fractions are numbers in which the numerator are greater than the denominator. An example is 13/4.

In order to determine the answer, the improper fraction would be converted to mixed fractions.

13 /3 = 4 1/3 13 / 4 = 3 1/4 13/5 = 2 2/5 13/6 = 2 1/3

To learn more about fractions, please check: https://brainly.com/question/25779356

−2 + x ≤ −16 a closed or open circle?

Answers

Answer:

Closed circle

Step-by-step explanation:

If the sign is less than or equal too/greater than or equal too the circle will be closed

Answer:

closed

Step-by-step explanation:

use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".

Plz help jfkdjdjdjdjd

Answers

Answer:

12

Step-by-step explanation:

MARK BRAINLIEST plz

Answer is E. 38. Hope this helps!!!

The fastest pizza box folder can assemble 8 pizza boxes in 21 seconds. At this rate, how long would it take to assemble 20 pizza boxes?​

Answers

Answer:

52.5

Step-by-step explanation:

I don't trust myself but that's what I belive

The time taken is 52.5 seconds to assemble 20 pizza boxes if the fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.

The rate of assemble = 21/8 seconds per pizza

The time is taken to assemble 20 pizza boxes:

= (21/8)x20

= 420/8

= 52.5 seconds

Thus, the time taken is 52.5 seconds to assemble 20 pizza boxes if the fastest pizza box folder can assemble 8 pizza boxes in 21 seconds.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

What is the reflected image in the x-axis A(- 1, 8), B(- 8, 8) C(- 5, 1) ?

Answers

Answer:

[tex]A' = (- 1, -8)[/tex]

[tex]B' = (-8, -8)[/tex]

[tex]C' = (-5, -1)[/tex]

Step-by-step explanation:

Given

[tex]A = (- 1, 8)[/tex]

[tex]B = (-8, 8)[/tex]

[tex]C = (-5, 1)[/tex]

Required

Determine the reflected image in the x axis

When a point is reflected across the x axis, the x coordinate remains the same, while the y coordinate is negated.

In other words,

[tex]A(x,y)[/tex] when reflected becomes [tex]A'(x,-y)[/tex]

So, for each of the following points

[tex]A = (- 1, 8)[/tex]

[tex]B = (-8, 8)[/tex]

[tex]C = (-5, 1)[/tex]

There images are:

[tex]A' = (- 1, -8)[/tex]

[tex]B' = (-8, -8)[/tex]

[tex]C' = (-5, -1)[/tex]

What do the slope and y-intercept of a real-world linear function represent?

Answers

Answer:

Word problems with linear equations (that is, with straight-line models) almost always work this way: the slope is the rate of change, and the y-intercept is the starting value.

Step-by-step explanation:

Round 6.1 to the nearest whole number.

Answers

Answer:

6

Step-by-step explanation:

It would only be 7 if it was 6.5 or higher so if it's 6.4 or less it'll always go back one so 6.

Whole number: Exact nuumber with no decimals such as: 1,2,3,4,5...

Answer:

6

Step-by-step explanation:

1, 2, 3, 4, slide to the floor,

5, 6, 7, 8, 9, climb the vine.

⚠️⚠️PLEASE HELP!!!!!⚠️⚠️
For two weeks, the highest
temperature each day was
recorded in four different
cities. Lines l, m, n, and pare
graphs of the temperature
over time in Lubbock,
Memphis, New Orleans, and
Phoenix. Which statement is
true?
m
n
temperature (degrees)
p
time passed (days)
A. The high temperature in Lubbock increased as time passed.
B. The high temperature in Memphis decreased steadily.
C. Initially, the high temperature was warmer in Phoenix than in Memphis.
D. The high temperature in Phoenix rose faster than the temperature in New Orleans.

Answers

Answer: B : The high temperature in Memphis decreased steadily.

Step-by-step explanation:

if angle ABC=2x and angle CBD=4x and they are a linear pair, solve for x

Answers

2x+4x=180(linear pair)
->x=30

Please help ASAP:) is really need some help!

Answers

Answer:

correct answer is

b

HL congruence

Answer:

B

Step-by-step explanation:

BRAINLIEST PLS

four times a number is greater then 48. what are the possible values for the number?

Answers

Any number that is 13 to Infinity

Any number greater then 12

Assume;

Given number = a

So,

Four times a number;

4 × a

4a

Greater then 48

So,

4a > 48

By solving inequality

a > 12

So,

Any number greater then 12 is the possible value

Learn more:

https://brainly.com/question/1301963?referrer=searchResults

rewrite in simplest terms. 8(-5d-9) -3(-6d+10)

Answers

Answer:

− 22 d − 102

Step-by-step explanation:

hi answer with anything

Answers

Answer:

otay

Step-by-step explanation:

Answer:

651651616516

Step-by-step explanation:

56465

7th grade advanced, please help!!

Answers

Answer:Company B 12.72

Step-by-step explanation:

35/2.75=12.72

32.50/2.5=13

You divide them so you get the price per one pound.

Hope this helps!!!!

Answer:

Company B offers the lowest price per pound of 12.72

Step-by-step explanation:

Unit Price

Given a product that costs X dollars and has Y pounds, the unit price is given by X/Y dollars per pound.

Elle is comparing prices to purchase candy online. Company A offers 2 1/2 pounds of chocolate for $32.50 and Company B offers 2 3/4 pounds of chocolate for $35.00.

The offer of Company A is for 2 1/2 pounds = 2.5 pounds

The offer of Company B is for 2 3/4 pounds = 2.75 pounds

The unit price for Company A is $32,50/2.5 = $13/pound

The unit price for Company B is $35,00/2.75 = $12.72/pound

Company B offers the lowest price per pound of 12.72

2/3 x -4 is the problem to solve

Answers

Answer:

-2.66666667

Step-by-step explanation:

Charly has a square carpet with the dimensions 10 by 97 inches what is the area?

Answers

Answer:

A = 970 inches²

Step-by-step explanation:

If Charly has a 'square' carpet of 10 by 97, then its not square but rectangular, with that in mind;

A = L x W

A = 10 x 97

A = 970 inches²

Hope this helps :)

Answer:

970 inches

Step-by-step explanation:

10x97=970

Length x Width = Area

What is the solution for x in the equation?
9x - 20 - 4x = 40?

X=1/4
X=4
X=12
X=1/12

Answers

Answer:

x = 12

Step-by-step explanation:

9x - 20 - 4x = 40

Combine like terms

5x -20 = 40

Add 20 to each side

5x -20+20 = 40+20

5x = 60

Divide by 5

5x/5 = 60/5

x = 12

9x - 20 - 4x = 40

By transposition method, we get

9x - 4x = 40 + 20

By simplifying the like terms, we get

5x = 60

or, x = 60/5 = 12

The value of x is 12.

Find the volume of the solid. *
7)

Answers

Answer:

B

Step-by-step explanation:

The volume (V) is calculated as

V = area of triangular face × depth

Area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 3 and h = 4 , then

A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 Km²

Now depth = 2, thus

V = 6 × 2 = 12 Km³ → B

Can some one help me in less then five minutes??

Answers

Answer:

x>dy-c

Step-by-step explanation:

100 writen as a perfect square

Answers

Answer:

10^2.

Step-by-step explanation:

100 is a perfect square of 10.

sqrt (100)

= 10.

Hope this helped!

The drop down option for the least minimum is k,g,f,h & the maximum options are h,g,k,f

Answers

1 is the answer  OR h

What is the domain and range please?

Answers

The second graph: y = 3
Domain: all real number
Range: y = 3

Gabe bought five sacks of apples each sack weighed 12 lb he paid three for each pound of apples what was the total cost of all of the apples Gabe bought

Answers

Answer:

The cost of 12lbs of apples is $36.

Step-by-step explanation:

Lets Solve!

⟹ First we must define x and y.

 x is the lb's of apples and y is the cost.

⟹ Now lets form our equation.

[tex]3x = y[/tex]

[tex]x = 12[/tex]

⟹ Since gabe bought 12 pounds of apples x = 12.

⟹ Now substitute x for 12.

[tex]3x = y[/tex]

[tex]3(12)= y[/tex]

⟹ Now multiply.

[tex]36 = y[/tex]

The cost of 12lbs of apples is $36.

HELP ON MATH PLS ASAP HELP HELP HELP.

Answers

Answer:

n>-15 or c

Step-by-step explanation:

It is n >-15 that would be the answer

write the ratio in the simplest form

Answers

Answer:

what's the ratio?

Step-by-step explanation:

Answer:

whats the ratio

Step-by-step explanation:

Over 6 months, Fiona used her online banking account to pay a total of $274.50 for her cell phone services. Her cell phone service costs the same amount each month. How much did she withdraw from her account each month to pay for the services?

Answers

Answer:

45.75

Step-by-step explanation:

you divided 274.50 by 6 and get the answer

Solve For: 5x + 2 = 4x − 9

Answers

Answer:

Step-by-step explanation:

5x+2=4x-9  -4x from both sides

x+2=-9 take 2 from both sides

x= -11

Answer:

x = -11

Step-by-step explanation:

5x + 2 = 4x - 9

5x = 4x - 11

x = -11

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