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andrey2020 [161]
2 years ago
12

For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres

left over. How many litres of lemonade were sold?
Mathematics
1 answer:
Hoochie [10]2 years ago
7 0

Given :

For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over.

To Find :

How many litres of lemonade were sold.

Solution :

Initial amount of lemonade, I = 12 1/2 = 25/2 litres.

Final amount of lemonade, F = 2 5/8 = 21/8 litres.

Amount of lemonade sold, A = I - F

A = 25/2 - 21/8 litres

A = 9.875 litres

Therefore, 9.875 litres of lemonade were sold.

Hence, this is the required solution.

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A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions ans
solmaris [256]
Hello!

To solve this we have to find what 82% of 50 is

So we do 50 * 0.82 where 0.82 is 82% as a decimal.

This gives us 41

So the answer is D

Hope this helps!
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2 years ago
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Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?
Sergeu [11.5K]

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

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2 years ago
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An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, wh
Harrizon [31]

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

3 0
2 years ago
The gas tank of a car is filled with a nozzle that discharges gasoline at a constant flow rate. Based on unit considerations of
Cloud [144]

Answer:

It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.

Step-by-step explanation:

The filling time of a gas tank can be given by a first order function in this format:

F(t) = V - r*t

In which F(t) is the current amount of fuel in the tank(in L), V is the volume of the tank(in L), r is the discharge rate of the tank(in L/s) and t is the time in seconds.

Finding the values of the parameters:

The tank is completly empty, so F(t) = 0.

The volume of the tank is 14 gallons. However, the problem states that the volume of the tank is measured in liters.

Each gallon has 3.78L.

So V = 14*3.78 = 53L

The discharge rate for the gas is 38.0 l/min. However, the problem states that the discharge rate is in L/s. So, to find the value of r, we solve the following rule of three.

38 L - 60s

r L - 1s

60r = 38

r = \frac{38}{60}

r = 0.63

Solving the equation:

F(t) = V - r*t

0 = 53 - 0.63t

0.63t = 53

t = \frac{53}{0.63}

t = 84.12s

It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.

6 0
2 years ago
sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia c
guapka [62]

Answer:

No multiplying both quantities in the ratio 60 : 36 by 1  would not give the answer .

But multiplying both quantities in the ratio 60 : 36 by 1/6  would solve it.

Step-by-step explanation:

Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .

If it is multiplied with a fraction like 1/6  that would give the correct answer.

Multiplying it with 1/6 reduces the ratio and gives a better estimate.

A:B

60:36

60*1/6: 36*1/6

10: 6

Meaning that for a total of 16 there are 10 of category A and 6 of category B.

But if we do the same procedure with the answer is same which does not solve the question.

A:B

60:36

60*1: 36*1

60: 36

4 0
2 years ago
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