The number of girls in Mrs. Manning’s classes was 12 less than twice the number of boys. She had a total of 108 students in her classes. How many girls and how many boys are in Mrs. Manning’s classes?

Answers

Answer 1

40 boys and 68 girls

let's start with variables and an equation.

boys: x

girls: 2x - 12

and we know that boys and girls make up the class. so let's add the two expressions.

x + 2x - 12 = 108

3x - 12 = 108

    + 12     + 12

3x = 120

x = 40 boys

BUT x is only the number of BOYS in the class. so we have to find girls now. let's plug in our value of x into the girls' equation.

2x - 12 = # of girls

2(40) -12 = # of girls

80 - 12 = # of girls

68 girls

let's check our answer!

68 + 40 does in fact add to 108, therefore our answer is correct.


Related Questions

The temperature is changing at a constant rate of –0.75ºC per half hour. At 6:45 PM, the temperature was –4.6ºC. At what time was the temperature –2.1ºC?Be sure to include AM or PM in your answer.

Answers

Answer:

11:15PM

Step-by-step explanation:

The difference between 4.6°C and -2.1°C is 6.7

0.75×?=6.7

?=9

This is 9 half hours, which is equal to 4 1/2 hours.

Hope it helped! Please give brainliest, thank me and rate it 5 please. :)

The time at which the temperature was -2.1°C is 5:05 PM

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The temperature is changing at a constant rate of = -0.75° C every half hour

So ,

30 min = -0.75° C

Divide by 3 on both sides , we get

10 min = -0.25°C

So , temperature is changing at a constant rate of = -0.25° C every 10 minutes

Now , the temperature at 6:45 PM = -4.6°C

So ,

The temperature at 6:15 PM = -4.6 + 0.75

                                               = -3.85°C

The temperature at 5:45 PM = -3.85 + 0.75

                                                = -3.1°C

The temperature at 5:15 PM = -3.1 + 0.75

                                               = -2.35°C

Now , for it to be -0.25°C , the time elapsed will be 10 minutes

So ,

The temperature at 5:05 PM = -2.35°C + 0.25°C

                                                = -2.1°C

Hence , the time at which the temperature was -2.1°C is 5:05 PM

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

jack is bringing 0.4 of a cake to school. what fraction of the cake is he bringing?

A) 1/4

B) 4/1

C) 2/5

D) 5/2

Answers

Answer:

He is bringing very Little XD

Step-by-step explanation:

Jk The answer is C :3

(Ignore this) I mean you can get the points if u want lol, I’m trying to test something.

Answers

Answer:

Answer:

Lol hi

Whathca tryin to test?

Step-by-step explanation:

Llololoo

Step-by-step explanation:

Answer:

Okok

Step-by-step explanation:

➊➋➌

➜↷↶

lolololololol

please help me ill give brainliest

Answers

Answer:

Ok so I think it might be multiplying or dividing

Step-by-step explanation:

My answer for multiplying is 6,732

My answer for dividing is 46.33333

Answer:

Step-by-step explanation:

There are 561 people.

When you divide by 12 you get 46 complete tables of 12

There are 9 people left over.

You can't round down. You must round up. These 9 people  get a table all to themselves.

So you need 47 tables.

Choose the situation in which the use of approximate numbers is appropriate.
A. the cost of tickets to a concert
B. an inventory of automobiles at a dealers
C. the population of the US based on a census
D. the number of buses needed to transport the band out of town

Answers

Answer:
the answer is A
Answer: C

Explanation: The population of the US is always changing everyday so we base on a census. Base meaning approximately

140% of what number is 98

Answers

The answer to this is 78

It appears that the answer is my fat coeck

What is 42,653 rounded to the nearest ten

Answers

Answer:

42,650 I think, sorry if its wrong

Give the scale factor of figure A to figure B​

Answers

Answer:

4

Step-by-step explanation:

10) How old am lif 300 reduced by 2 times my age is 106?
11) Callie was making note cards. On her way to her room she found
six more note cards to use. In her room she cut each note card in
half. When she was done she had 46 half-note cards. With how
many note cards did she start?
12) Gracy spent half of her weekly allowance on clothes. To earn
more money her parents let her wash the dog for $14.08. What is
her weekly allowance if she ended with $23.42?

Answers

Answer:

150, 23 cards

Step-by-step explanation:

Justin is 2years older than one third Marcellas age. Aimee is four years younger than 2 times Justin's age. Define a variable and write an expression to represent Justina age. Than find Justina age and aimees age if Marcella is 63 years old

Answers

Answer:

Justin is 23 years old, and Aimee is 42 years old.

Step-by-step explanation:

Let Marcella's age be represented by x, and Justin's age by t.

Given that Justin is 2 years older than one third Marcella's age.

t = [tex]\frac{1}{3}[/tex] x + 2

t = [tex]\frac{x}{3}[/tex] + 2 ........... 1

Also, Aimee is four years younger than 2 times Justin's age.

Aimee = 2 x t - 4

Aimee = 2t - 4 .......... 2

But, Marcella's age is 63 years, so that from equation 1;

Justin's age =  [tex]\frac{x}{3}[/tex] + 2

                    = [tex]\frac{63}{3}[/tex] + 2

                    = 21 + 2

                    = 23

Justin is 23 years.

From equation 2,

Aimee = 2 x 23 - 4

           = 46 - 4

           = 42

Aimee is 42 years.

Therefore,

Marcella is 63 years old, Justin is 23 years old, and Aimee is 42 years old.

Does anyone know the answer, you don’t need to answer if that’s okay

Answers

D Bc I just did it and got it right

5 - 1 and 1/3 *

I’m so confused on how to do this...

Answers

Answer:

3.6

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

Answer:

5 - 1 1/3 = 3 and 2/3

Step-by-step explanation:

If the edges of a cube are doubled in length to produce a new, larger cube, then the
larger cube's surface area is how many times larger than the smaller cube's surface
area?

Answers

take x as the side of the cube.

surface area = 6a^2

= 6x^2

take 2x as the next cube

surface area = 6(2x)^2

= 6 x 4 x x^2

= 24x^2

cube two is 4 times more than cube 1 in surface area wise.

HOPW THIS HELPS AND PLEASE MARK ME AS BRAINLIEST.

1. Pencils come in packages of 10. Erasers come in packages of 12. Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many packages of pencils and erasers should Phillip buy?
A. 4 packages of pencils and 3 packages of erasers B. 5 packages of pencils and 4 packages of erasers C. 6 packages of pencils and 5 packages of erasers D. 12 packages of pencils and 10 packages of erasers

Answers

Answer:

C. 6 packages of pencils and 5 packages of erasers

Step-by-step explanation:

Pencil = packages of 10

Erasers = packages of 12

Find the lowest common multiple of 10 and 12

10 = 20, 30, 40, 50, 60, 70, 80

12 = 24, 36, 48, 60, 72, 84, 96

The lowest common multiple of package of pencil and eraser is 60

Packages of pencil = 60 / 10

= 6 packages

Packages of eraser = 60 / 12

= 5 packages

C. 6 packages of pencils and 5 packages of erasers

3/7 % of a quantity is equal to what fraction of the quantity?



LIKE RNNN PLEASE 40 points!!! PLZZZZ

Answers

Answer:

0.42

Step-by-step explanation:

0.42857142857

Answer:

0.42

Step-by-step explanation:

0.42857142857

i hope this helps and u welcome friend

Find the missing angle measure​

Answers

Answer:

what is the missing angle measure pls attach a pic if you do so I can help you

enjoy your day

#Captainpower:)

Change 4% at a decimal

Answers

Answer:

.04

Step-by-step explanation:

1 1/2 + 3 2/3 + 1 7/9

Answers

Answer:

125/18

Step-by-step explanation:

1 1/2+ 3 2/3+ 1 7/9 =125/18

Answer: 125/18

Step-by-step explanation:

2 lb of grass seed will cover 50 square feet of a yard how many square feet will 5 lb of grass seed cover

Answers

5 lb of grass seed will cover 125 square feet of yard

Answer:

125 square feet of a yard.

Step-by-step explanation:

So 1 lb of grass seed will fill 25 square feet of yard. Multiply 25 by 5 and get 125.


Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?

b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?

Answers

Answer:

A. Claie runs 5 km in a half hour. In 2 1/2 hours she runs 25 km.

B. Malia runs 2.5 miles in a half hour, and 12.5 miles in 2 1/2 hours.

C. Claire runs farther. She runs approximately 15.5 miles while Malia runs 12.5 miles.

Which graph represents a function?

Answers

Answer:

b

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

vertical line test

find the measure of each angle indicated please ​

Answers

Answer:

130 ??? ..............

Help me with this pls

Answers

Answer:

x=25

Step-by-step explanation:

25 degree angle is the same as x

X=25 so your answer is 25

Simplify:
4-5-9
PLEASE HURRY!!! THANK U

Answers

Answer:

The answer is -10.

Step-by-step explanation:

4 - 5 - 9

-1 - 9

-10

A generation ago, the graduating class at Centerville High School was 160 students. This year, it is 40% larger. What is the current size of the graduating class?

Answers

Answer:

220 Students

Step-by-step explanation:

First find 40% of 160, which is 60. Add those 60 students to the previous generations class and you get the current size of the graduating class, 220 Students.

4. (01.02 MC)
Which of the following correctly simplifies the expression? picture of options below. PLEASE HELP.

Answers

Answer:

It is A [1st option]

Step-by-step explanation:

Use process of elimination.

The last 2 would not work since 3^0 is 1 not 0.

Then you can eliminate the 2nd option as it says 2^3^2 is 2^5 which is wrong... it would be 2^6

Therefore, it is A

Solve this math problem plz. :) I need full explanation. I'm struggling. ​

Answers

Answer:

12.5 Km / hour

Step-by-step explanation:

Average speed (s) is calculated as

s = [tex]\frac{distance}{time}[/tex]

distance covered is 50 Km and time taken is 4 hours, then

s = [tex]\frac{50}{4}[/tex] = 12.5 Km/ hour

12. A coin collector has 85 coins in dimes and
quarters with a total value of $16.15. How
many of each type of coin does she have?
A. 25 dimes, 60 quarters
B. 34 dimes, 51 quarters
C. 42 dimes, 43 quarters
D. 60 dimes, 25 quarters

Answers

Answer:

c

Step-by-step explanation:

a. 25 x 10 = 250, 60 x 25 = 1500, 250 + 1500 = 1750 = $17.50

a. no

b. 34 x 10 = 340, 51 x 25 = 1275, 1275 + 340 = 1615 = $16.15

b. yes

c. 42 x 10 = 420, 43 x 25= 1075, 1075 + 420 = 1495 = $ 14.95

c. no

d. 60 x 10 = 600, 25 x 25 = 625, 625 + 600 = 1225 = $12.25

d. no

Solve cach triangle. Round your answers to the nearest tenth.

Answers

Answer:

angle A = 56.4

angle B = 52.6

AB = 26.1

A coffee table is on sale for 20% off the original price of $115. If there is a 7.5% sales tax, what is the final price of the coffee table?

Answers

The sale price of the table = 115 x 0.80 = $92

The total price including the tax = 92 x 1.075 = $98.90

Answer = $98.90

The final price of the coffee table is 98.6
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