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Dmitrij [34]
4 years ago
7

A bag contains 6 red marbles, 4 blue marbles, 7 green marbles, and 3 yellow marbles. A marble is drawn from the bag and is not r

eplaced. Then a second marble is drawn. What is the probability that both marbles drawn were green? . Option A: 49/380. Option B: 49/400. Option C: 21/190. Option D: 21/200.
Mathematics
2 answers:
Mademuasel [1]4 years ago
5 0
\frac{7}{6 + 4 +7 +3} x \frac{7 - 1 }{ 6 + 4 + 7 + 3 - 1}

= 21/190

So the answer is option C.

hope this helps
Alinara [238K]4 years ago
3 0
20 total marbles....7 are green

probability on first draw is 7/20...and since the marble was not replaced, the probability on the second draw is 6/19. And since they cant happen at the same time, we multiply

7/20 * 6/19 = 42/380 which reduces to 21/190

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A recipe for 12 waffles calls for 112 cups of milk, 214 cups of flour, and 113 cups of other ingredients. 4 pts each/16 pts tota
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This question was not written properly

Complete Question

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients.

Answer:

A 5 1/12 cups of ingredients

B 10 1/6 cups of ingredients

C The total amount of ingredients for 12 waffles would increase from the original recipe.

D 7.56 or 7 5/9 recipes

Step-by-step explanation:

A... What is the total number of cups of ingredients needed for 12 waffles?...

The total number of cups of ingredients needed =

1 1/2 cups of milk + 2 1/4 cups of flour + 1 1/3 cups of other ingredients

(1 + 2 + 1) + (1/2 + 1/4 +1/3)

4 + ( 6 + 3 + 4/12)

4 + (13/12)

4 + (1 1/12)

= 5 1/12 cups of ingredients

B... What is the total number of cups of ingredients needed for 36 waffles? ....

If 12 waffles requires = 5 1/12 cups of ingredients

36 waffles =

Cross Multiply

= (36 waffles × 5 1 /12)/12 waffles

= 10 1/6 cups of ingredients

C... If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe?

Justify your thinking...

Original recipe.

A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients = total of 5 1/12 cups of ingredients

Current recipe

1 cup of milk + 2 1/4 cups of flour + 2 cups of other ingredients

1 + 2 + 2 + (1/4)

5 1/4 cups of ingredients

Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract 5 1/12 from 5 1/4 you get a difference of 1/6 cups

5 1/4 - 5 1/12 = 1/6

D... If a baker has a 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...

The original recipe has 2 1/4 cups of flour as its quantity for 12 waffles

Hence:

2 1/4 cups of flour = 12 waffles

17 cups =

17 × 12/2 1/4

= 204÷ 2 1/4

= 204 ÷ 9/4

= 204 × 4/9

= 90.666666667 or 90 2/3 Waffles

If = 12 waffles = 1 recipe

90 2/3 waffles =

7.56 or 7 5/9 recipes

6 0
3 years ago
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