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1 year ago

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils

Mathematics

1 answer:

LiRa [457]1 year ago

8 0

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

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Nutka1998 [239]

Answer:

The probability is $P(X > 25 ) = 1.667$

Step-by-step explanation:

From the question we are told that

The maximum wait is $b = 30 \ minutes$

The minimum wait would be $a = 0\ minutes$

Generally the probability that you will wait more than 25 minutes for a bus is mathematically represented as

$P(X > 25 )$

Now given that the time a person waits is uniformly distributed and that the maximum is 30 then we can evaluate the above probability as

$P(X > 25 ) = P(25 < X < 30 ) = \frac{30 - 25}{30 - 0}$

$P(X > 25 ) = 1.667$

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1 year ago

destiny sells pencil cases for $5 each and mechanical pencils for $2 each at the school supply store. she sells p pencil cases a

Andrew [12]

Answer:

Step-by-step explanation:

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2 years ago

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1 year ago

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s

Elenna [48]

I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

5.3 hours

Explanation:

1) Time it takes Ashley to preprate one bag:

2/3 min

2) Time it takes each friend of Ashley: 75% more than 2/3 min

75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min

2/3 min + 1/2 min = 7/6 min

3) Time it takes Ashley and the 4 friends working along to prepare one bag:

Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

4) Time of prepare 1575 bags of samples:

time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

5) Convert minutes to hours:

356.56 min × 1 hour / 60 min = 5.3 hours

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1 year ago