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3 years ago

Rafaela is a physical education teacher and has 252525 girls and 353535 boys in her class.

Mathematics

1 answer:

iren [92.7K]3 years ago

6 0

Answer:

7 boys

Step-by-step explanation:

252525=3*5²*7*13*37

353535=3*5*7²*13*37

(252525; 353535)= 3 * 5 * 7 * 13 * 37 = 50505

The greatest number of teams possible=50505

252525=5*50505

353535=7*50505

So, are 50505 teams, each containing 5 girls and 7 boys.

7 boys

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andrew-mc [135]

25% is the percent increase

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2 years ago

Find the solution of the system of equations. – 5 - 6y = -32 4x - 6y = 4

amid [387]

Equation (1)

$-5 - 6y = -32$

Equation (2)

$4x - 6y = 4$

Get y alone in equation (1)

$-5 - 6y = - 32\\-6y = -32 + 5\\-6y = -27\\y = \frac{-27}{-6} = \frac{9}{2}$

Insert y in equation (2)

$4x - 6 \cdot \frac{9}{2} = 4\\4x - 27 = 4\\4x = 4 + 27\\4x = 31\\x = \frac{31}{4}$

8 0

3 years ago

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his

Ksivusya [100]

Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

Step-by-step explanation:

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :

Alex wrote checks on Tuesday for $30 and $40:

Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .

He also made a deposit in his checking account of $180:

Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)

Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

6 0

3 years ago

Find the prime factorization of the number 12

Vsevolod [243]

First, you must use a factor tree to find the prime factors of the number.

/ \

6 (2)

/ \

(3) (2)

2 , 2 and 3 are the prime factors that make 12

2 x 2 x 3= 12

2^2 x 3= 12

4 0

3 years ago

Ariana plans to use $260 less than three-fourths of savings to buy a car. If the purchase price of the car is 9,340, how much do

tangare [24]

She has $12,488 in savings

Step-by-step explanation:

Ariana plans to use $260 less than three-fourths of savings to buy a car.

If the purchase price of the car is 9,340, we need to find how much

she has in savings

To find the savings

Assume that she has $x in savings
Write an equation of x
Solve the equation to find x

∵ She has $x in savings

∵ She plans to use $260 less than three-fourths of savings

- Three-fourths means $\frac{3}{4}$ and less than means subtract

∴ She plans to use $\frac{3}{4}$ x - 26

∵ The purchase price of the car is 9,340

- Equate the expression of x by 9,340

∴ $\frac{3}{4}$ x - 26 = 9,340

Now let us solve the equation

∵ $\frac{3}{4}$ x - 26 = 9,340

- Add 26 to both sides

∴ $\frac{3}{4}$ x = 9,366

- Divide both sides by $\frac{3}{4}$

∴ x = $12,488

She has $12,488 in savings

Learn more:

You can learn more about word problems in brainly.com/question/3950386

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3 years ago