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lions [1.4K]
3 years ago
14

Sophia asked the students in her class to name their favorite sports. She made a list to display the results. 1/3 of students na

me basketball. 1/8 of students named soccer. 5/12 of students named football. The rest of the students in the class named baseball. What fraction of the students in the class named baseball as their favorite sport?
Mathematics
1 answer:
Elanso [62]3 years ago
5 0
Answer on question 39535 –Math –


students named football.The rest of the students in te class named baseball.What fraction of the students in the class named baseball as their favorite sport?SolutionThe partof the students in the class named baseballis1−13−18−512=24−8−3−224=1124.Answer:11/24.
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Step-by-step explanation:

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The supreme shipping company can load trucks with both rectangular and cylindrical containers. A rectangular container has a vol
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the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Let x be the number of rectangular containers and y the number of cylindrical containers.

Since a rectangular container has a volume of 100 ft ³and weighs 200 pounds and a cylindrical container has a volume of 200 ft.³ and weighs 100 pounds, and each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds,

We have that the maximum volume of the truck V = 100x + 200y.

Also, the maximum weight of the truck is W = 200x + 100y

Since V = 4200 ft.³  and W = 4800 pounds,

100x + 200y = 4200 and 200x + 100y = 4800

x + 2y = 42 (1) and 2x + y = 48 (2)

Multiplying (1) by 2 and (2) by 1, we have

2x + 4y = 84 (3) and 2x + y = 48 (4)

Subtracting (4) from (3), we have

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2x + y = 48

3y = 36

y = 36/3

y = 12

Substituting y into (1), we have

x + 2y = 42

x + 2(12) = 42

x + 24 = 42

x = 42 - 24

x = 18

Also, since the shipping company charges $60 for a rectangular container and $55 for a cylindrical container, the income, P = 60x + 55y

Since x = 18 and y = 12, the maximum income is P = 60x + 55y

= 60(18) + 55(12)  

= 1080 + 660

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So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Learn more about maximum income here:

brainly.com/question/24559594

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