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astraxan [27]
3 years ago
8

1. Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 pounds and se

veral snack packs that each weigh ½ lb. The total weight of the care package must be less than 25 pounds.
(A)Write an inequality to model the situation. Use x to stand for the number of snack packs she includes.
(b) Solve the inequality to find the maximum number of snack packs Marisol can include in the package.
(c) What is the maximum number of snack packs Marisol can include in the package? Give your answer in the form of a sentence.
Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

The content of care package would be a board game and several snack packs.

Given is the weight of board game = 4 pounds.

The weight of one snack pack = \frac{1}{2} \;pounds = 0.5 \;pounds

The total weight would be less than 25 pounds.


Solving for part A :

Let 'x' represents the number of snack packs.

So the weight of all snack packs would be 0.5x pounds.

Now weight of care pack = weight of board game + weight of all snack packs.

weight of care pack = 4 + 0.5x

But total weight must be less than 25 pounds.

So the inequality would be: 4 + 0.5x < 25


Solving for part B :

Solving the inequality 4 + 0.5x < 25

⇒ 4 + 0.5x - 4 < 25 - 4

⇒ 0.5x < 21

⇒ x < 42


Solving for part C :

Since x < 42 and x is an integer number, so x = 41.

She can include maximum of 41 snack packs in the care package.

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givi [52]

Answer:

12.2%

Step-by-step explanation:

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And, as these values are probabilities they must sum 1:

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Replacing the first equation in the second:

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Dividing both sided by 4:

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So, the probability for Bob is 1/4. Then the probability for Alex is 3*1/4 = 3/4

Now we have to find the probability that both win at least two games. Lets think about the possible combination of cases. As they play 5 games and both have to win at least to there is a remaining game that cane variate, this is, can be won by Alex or Bob. So, we can have:

AABBB

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Answer:

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