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ch4aika [34]
3 years ago
11

The ratio of number of boys to the of girls in a school is 5:7. If there are 600 students inthe school, how many girls are there

?
Mathematics
1 answer:
OLga [1]3 years ago
7 0

Answer:

<u>There are 350 girls in the school.</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the question correctly:

Ratio of number of boys to the girls = 5:7

Number of students in the school = 600

2.  How many girls are there in the school?

Number of girls = x

Number of boys = 5/7x

x + 5x/7 = 600

7x + 5x = 4,200

12x = 4,200

x = 350

<u>There are 350 girls in the school.</u>

And the number of boys is (600 - 350) = 250.

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At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa
Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

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After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

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V1 = 3000 - 30 × 2

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V1 = 2940

K = 2940/3000

K = 0.98

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3 years ago
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Answer:

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