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3 years ago

There are 560 students in a school.If the ratio of the boys are girls is 4:3,find their numbers.

Mathematics

2 answers:

Nonamiya [84]3 years ago

8 0

Answer:

320 / 240 = 4 / 3

Step-by-step explanation:

4 / 7 = x / 560

Cross-multiply:

7x = 2240

Divide by 7:

x = 320

The school has 320 boys and 240 girls.

hope this helps

Viefleur [7K]3 years ago

3 0

Answer:

320 : 240

Step-by-step explanation:

4 + 3 = 7

560 / 7 = 80

so 1 is 80

4 x 80 : 3 x 80

320 : 240

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(-6-4) divided by (-5)

fenix001 [56]

Answer:

Step-by-step explanation:

Simplify the following:

(-6 - 4)/(-5)

Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.

-6 - 4 = -(6 + 4):

(-(6 + 4))/(-5)

Hint: | Evaluate 6 + 4.

6 + 4 = 10:

(-10)/(-5)

Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.

The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):

(-2)/(-1)

Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).

(-2)/(-1) = (-1)/(-1)×2 = 2:

Answer: 2

3 0

3 years ago

Read 2 more answers

Silas had 3 times as much money as Raja. Silas spent $84 of his money to buy a birthday gift for his grandma while Raja was awar

ella [17]

Answer:

Total money they had at first $252.

Step-by-step explanation:

Let,

x be the amount Silas had originally

y be the amount Raja had originally

According to given statement;

x = 3y Eqn 1

x - 84 = y + 42 Eqn 2

Putting x=3y in Eqn 2

3y - 84 = y + 42

3y - y = 42 + 84

2y = 126

Dividing both sides by 2

$\frac{2y}{2}=\frac{126}{2}\\y=63$

Putting y = 63 in Eqn 1

x = 3(63)

x = 189

Total money they originally had = 189 + 63 = $252

Hence,

Total money they had at first $252.

4 0

3 years ago

A company rents water tanks shaped like a cylinders. Each tank has a diameter of 12 feet and a height of 3 feet. The cost is $2

12345 [234]

Answer:

$\$678.58$

Step-by-step explanation:

step 1

Find the volume of the tank

we know that

The volume of a cylinder (water tank) is equal to

$V=\pi r^{2}h$

in this problem we have

$r=12/2=6\ ft$ -----> the radius is half the diameter

$h=3\ ft$

substitute

$V=\pi (6^{2})(3)=339.29\ ft^{3}$

step 2

Find the cost

$339.29\ ft^{3}*2\frac{\$}{ft^{3}}=\$678.58$

3 0

3 years ago

If a finance professional recommends that you save 10% of your income each month and Julie spends 30% on rent and 40% on all oth

german

Answer:

The percentage of income she should use on the rest of her expenses=20%

Step-by-step explanation:

Step 1: Determine her total income

Let her total percentage income be =100%

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Savings

percentage expense on savings=10%

b). Rent

percentage expense on rent=30%

c). Fixed expenses

percentage expense on fixed expenses=40%

d). The rest expenses

percentage expense on the rest=x

Step 3: Calculate total percentage income

Total percentage income=percentage on savings expenses+percentage on rent expenses+percentage on fixed expenses+remainder

replacing;

Total expenses=(10+30+40+x)=x+80

Total percentage income=100%

Step 4: Get remaining percentage amount of her income

(100)=(x+80)

x=100-80

x=20

The percentage of income she should use on the rest of her expenses=20%

3 0

3 years ago

EASY BRAINLIEST ANSWER ASAP!!

elena-14-01-66 [18.8K]

Answer:

(0, 4)
(-1, 16/ 3)
(-9/ 2, 10)

Step-by-step explanation:

In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.

4x + 3y = 12 . . . . . .(0, _)

here were given the x variable

finding the other term

4× 0 + 3y = 12

3y = 12

y = 4

therefore the ordered pair is (0, 4) 

. . . . . . . (-1, _)

here were given the x variable

4 × -1 + 3y = 12

3y = 12 + 4

3y = 16

y = 16/ 3

ordered pair is (-1, 16/ 3)

. . . . . . . . (_, 10)

here were given the y variable

finding the other term

4x + 3 × 10 = 12

4x + 30 = 12

4x = 12 - 30

4x = -18

dividing both sides by 2

2x = -9

x = -9/ 2

ordered pair is (-9/ 2, 10)

4 0

3 years ago