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marishachu [46]
3 years ago
14

martha and mary had 375 jelly beans in all. after mary ate 24 jelly beans and martha ate 1/7 of her jelly beans, they each had t

he same number of jelly beans left. how many jelly beans did each girl have at first?
Mathematics
1 answer:
enot [183]3 years ago
5 0
Start by setting up two equations

Let x = number of beans with Martha
Let y = number of beans with Mary

Since total beans is 375, 
x + y = 375

Mary ate 24 beans, after this she must be having x - 24 beans
Similarly after eating 1/7y beans, mary must be having y - y/7 beans
Setting them equal to each other
x - 24 = y - y/7

Solving both equations gives x = 186, y = 189
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Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

P = P_{1} + P_{2}

P_{1} is the probability of the first sprinkler being triggered and activated. So:

P_{1} = 0.5*0.9 = 0.45

P_{2} is the probability of the second sprinkler being triggered and activated. So:

P_{2} = 0.5*0.8 = 0.40

P = P_{1} + P_{2} = 0.40 + 0.45 = 0.85

There is an 85% probability that the sprinkler head will be activated.

6 0
3 years ago
The biology club has 18 members 3 girls and 15 boys.What is the ratio of girls to boys in the biology club?
VashaNatasha [74]
A.1:5 because 3 came first and 3:15 3÷3=1 15÷3=5 Therefore the answer is =1:5
6 0
3 years ago
How many sides do a square have
loris [4]
A square has four sides. Hope this helps you.
4 0
3 years ago
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Describe what your first step would be to solve the equation below : <br> 2 (x+7) = -4x + 14
Andrej [43]

Answer:

The first step to solve the equation below is to first distribute the 2 to (x+7)

Step-by-step explanation:

2 (x+7) = -4x + 14

2x + 14 = -4x + 14

3 0
2 years ago
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The world famous gambler from Philadelphia, Senor Rick, proposes the following game of chance. You roll a fair die. If you roll
Orlov [11]

Answer:

You lose $0.833 while Rick gains $0.833, and so Rick is not Loco

Step-by-step explanation:

There are six numbers on a dice. Thus, probability of rolling exactly one number = 1/6

Probability of rolling two is 2/6.

Rolling a 1 pays $25, and probability = 1/6

Rolling a 2 pays $5,and probability = 1/6

Rolling a 3 pays $0, and probability = 1/6

Rolling a 4 or 5 pays -$10, and probability = 2/6

Rolling a 6 pays -$15, and probability = 1/6

Thus,lets calculate the expected value;

EV = (25 × 1/6) + (5 × 1/6) + (0 × 1/6) + (-10 × 2/6) + (-15 × 1/6)

EV = - $0.833

This means you lose $0.833 while Rick gains $0.833, and so Rick is not Loco.

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