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aleksklad [387]
2 years ago
11

Out of the 25 students in Mrs. Coulter's class, 15 are girls. In the school there are 390 boys. If the ratio of boys to students

in Mrs. Coulter's class is proportional to the ratio of the number of boys in the school to the total number of students in the school, how many students are at the school?
Mathematics
2 answers:
GREYUIT [131]2 years ago
6 0

Answer:

975 students

Step-by-step explanation:

This is a dense question. Let's look at it piece by piece:

1. The ratio of boys to students in the class is 10/25. If there are 25 students and 15 girls, that leaves 10 boys.

2. The question says that the ratio is in proportion of boys to total students in the school. "In proportion" in this case means that if we convert 10/25 to a fraction with numerator 390, the denominator is the amount of students in school.

3. 10x39=390. What you do the numerator you must do to the denominator: 25x39=975.

4. This means 975 students go to the school.

kotegsom [21]2 years ago
6 0
That is correct I would say!
Ty for the explanation
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hammer [34]

Answer:

216 bats will be female

Step-by-step explanation:

First, you set it up for a cross multiply

<u>9</u>        =        <u>486</u>

4                    x

We use nine because the ratio of male to female is 5/4 so the ratio of total to female is 9/4. Cross multiply.

   9x = 1944

    x= 216

So 216 bats will be female

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3 0
2 years ago
When making a batch of orange juice for her basketball team Jackie used 5 times as much water as concentrate. There were 32 more
AnnZ [28]

Answer:

48 cups of orange juice,  24 containers.

Step-by-step explanation:

Given:

Jackie used 5 times as much water as concentrate to make orange juice.

There were 32 more cups of water than concentrate.

Question asked:

How much juice did she make in all ?

She poured the juice in 2 quart containers how many containers could she fill ?

Solution:

Let concentrate used in the juice = x

<u>As Jackie used 5 times as much water as concentrate:</u>

Then water  used in the juice = 5x

<u>According to question:</u>

<u>To make orange juice 32 more cups of water used than concentrate is equals to to make orange juice</u>, Jackie used 5 times as much water as concentrate, we will write this as:-

x+5x=x+x+32\\6x=2x+32\\

Subtracting both sides by 2x

4x=32\\

Dividing both sides by 4

x=8

Concentrate used in the juice = x = 8 cups

Water  used in the juice = 5x = 5\times8=40\ cups

Total quantity of juice =8 + 40 = 48 cups

Thus, she made 48 cups of orange juice for her basketball team.

Now, as she poured the juice in 2 quart containers, we have to find number of containers could be filled, we will simply divide total quantity of juice by 2 quart

Number of 2 quart containers = 48 cups \div 2 = 24 containers

Thus, she can fill 24 containers.

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3 years ago
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Katyanochek1 [597]

Answer:

ANSWERS BELOW

Step-by-step explanation:

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To raise money for thr families of patients at a local children's hospital ( why the subject took the action )

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7 0
3 years ago
Solve 3x²-x-2=0. Please show all work.​
lorasvet [3.4K]

3x²-x-2=0

Δ=1+24=25 (Δ=b²-4ac)

x₁,₂=\frac{1(+/-)\sqrt{25} }{6}

x₁,₂=\frac{1(+/-)5}{6}

x1=\frac{1+5}{6}=6/6=1

x2=\frac{1-5}{6}=\frac{-2}{3}

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x1=1

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You have a coupon for 10% off a lamp that cost $60 what is the discount price of the lamp?
Lina20 [59]

Answer:

$50

Step-by-step explanation:

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