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Vitek1552 [10]
2 years ago
6

at 12pm there are 855 people in the zoo by 5pm 4/5 of the children have left and ³/₄ of the adults have left. There are now 36 m

ore children than adults in the zoo.working out
Mathematics
1 answer:
12345 [234]2 years ago
8 0

Answer:

300 Adults 555 Children

Step-by-step explanation:

What we know:

Firstly, at 5pm there were 36 more Children (C) than Adults (A)

So.....C = A + 36

Secondly, at 12pm there were 5 x more Children and 4 x more Adults and the total was 855

So 4A + 5C = 855

——-

Now use ‘C = A + 36’ and get rid of all ‘C’ in the second equation.....

4A + 5C = 855

becomes......

4A + 5 (A + 36) = 855

Multiply the brackets (5 x A) and (5 x 36):

4A + 5A + 180 = 855

Take off 180 from both sides:

4A + 5A = 675

Therefore 9A = 675

Divide by 9:

A = 75

We know C is A + 36

C = 111

At 5 pm - A = 75 and C = 111

Therefore at 12:

There were 5 x C = 555

And 4 x A = 300

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3 years ago
A video company randomly selected 100 of its subscribers and asked them how many hours of shows they watch per week. Of those su
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Answer:

1,135 people

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The number is found by dividing 2500 by 100 to receive the common factor of 25. You multiply 45 by 25 to receive your total answer.

Step-by-step explanation:

For every 100 people only 45 people watch more than 10 hours per week. So, the ratio is (45/100), since the company has 2500 we want to know what (x/2500) is. The total ratio becomes (1,135/2,500).

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8 0
3 years ago
Can someone that's very good at math please help me?
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Answer:

35 :

t = 6.25 years

(about 6 years 3 months)

Equation:

t = (1/r)(A/P - 1)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = (1/0.04)((2500/2000) - 1) = 6.25

t = 6.25 years

The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).

36:

The two distances are the same (out and back), so set them equal.

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One rate is 460 and the other is 500.

460 x = 500 (4.8 -x)

460 x = 2400 - 500x

900 x = 2400

x = 2.5 hours for the slower plane.

4.8- x = 2.3 hours for the faster plane.

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3 years ago
If f(x)=x/2-3and g(x)=4x^2+x-4, find (f+g)(x)
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Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

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3 years ago
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