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3 years ago

A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?

Mathematics

1 answer:

goblinko [34]3 years ago

7 0

Answer:

8 red marbles.

Step-by-step explanation:

All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.

40/5=8

You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .

If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.

1 * 8 = 8 red marbles in the bag

If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.

Example:

If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.

Easy and quick way if you do not need the explanation:

Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8

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Step-by-step explanation:

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2 years ago

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2 years ago

Suppose that a worker in Caninia can produce either 2 blankets or 8 meals per day, and a worker in Felinia can produce either 5

lubasha [3.4K]

Answer:

The answer to the question is

The war has caused the combined daily output of the two countries to decline by 50%

Step-by-step explanation:

To solve this we have

a worker at Caninia produce Blankets = 2 and Meals = 8

a worker at Felinia produce Blankets = 5 and Meals = 1

Each country has 10 workers, therefore, total production rate for each of the two countries is

Caninia produce Blankets = 20 and Meals = 80

Felinia produce Blankets = 50 and Meals = 10

Total production = Blankets = 70 and Meals = 90

Without trade between the two countries we have

Caninia produce Blankets = 10 and Meals = 40

Felinia produce Blankets = 25 and Meals = 5

Total production = Blankets = 35 and Meals = 45

Therefore the war has caused the combined daily output of the two countries to decrease by

Initial total production = Blankets = 70 and Meals = 90

Present total production = Blankets = 35 and Meals = 45

Difference in production= Blankets = 35 and Meals = 45

(Decline in production)/(Initial production)×100

For blankets → (35/70)×100 = 50 % decrease

For Meals → (45/90)×100 = 50 % decrease

Total decrease in daily output for the two countries = 50 %

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