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Llana [10]
3 years ago
5

On Monday, 230 students were supposed to go on a trip to the zoo but 22 did not have permission slips. 5 buses were filled and 8

students had to travel in cars. How many students were in each bus
Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
8 0

Answer:

40 kids traveled in each bus

hope this helped

Step-by-step explanation:

230- 22= 208

208-8= 200

200÷5 =40

kondor19780726 [428]3 years ago
4 0

Answer:

40 students road on each bus

Step-by-step explanation:

230-22=208

208-8=200

200÷5=40

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Tap A takes 6 minutes to fill a tank and tap b takes 9 minutes to fill the same tank. Pipe C can empty the tank in 15 minutes. H
jekas [21]

Answer:  approximately 4.7368 minutes

This decimal value is the result of computing 90/19

=====================================================

Explanation:

Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.

  • 6 = 2*3
  • 9 = 3*3
  • 15 = 3*5

The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.

We'll use this LCM value to set up an example below.

---------------

Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.

If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.

Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.

Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.

The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.

In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.

The amount of time needed is approximately 90/19 = 4.7368 minutes.

Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.

6 0
3 years ago
Read 2 more answers
To get a 100 kilograms of a 48% fat content chocolate how many kilograms of a 30% and 50% mix should be used
wlad13 [49]
A kilogram %30 chocolate,
b kilogram %50 chocolate,
a+b = 100 kilogram chocolate,

48.(a+b) = 30.a + 50.b
48a + 48b = 30a + 50b
18a = 2b
b = 9a

a+b = a + 9a = 10a = 100 kg
a = 10 kg
b = 9.a = 90 kg

You should use,

10 kg %30 chocolate,
90 kg %50 chocolate
8 0
3 years ago
Kay cuts three (3) pizzas so each of her friend at the table receives ¾ pizza. How many friends are at the table?
jarptica [38.1K]

Answer: B

Step-by-step explanation: Divide the number of pizzas (3) by the fraction each friend will get (¾ or 0.75), which gives you the answer 4.

3÷0.75=4

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bija089 [108]

Answer: x = -2

Step-by-step explanation:

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Find g'​(t) for the function ​g(t) = 7/t^4
Alex17521 [72]

The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

<h3>What is differentiation?</h3>

The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.

Given that:-

g(t)= \dfrac{7}{t^4}

The derivative will be calculated as:-

g'(t)=7   \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}

Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

To know more about derivatives follow

brainly.com/question/954654

#SPJ1

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