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Travka [436]
3 years ago
8

You have to complete at least 10 physics problems and math problems within 2 hours before you playing video games. It will take

you 20 minutes to complete a physics problem and 10 minutes to complete a math problem. Write a system of inequalities to express this situation. What is the most possible number of physics problems you can complete and still meet the requirements?
Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:2

Step-by-step explanation:

Given

Physics problem requires 20 min

Math problem require 10 min

suppose x question of Physics and y questions of Math are done

so according to the question

x+y\geq 10\ldots 1

Time require for x Physics problem =20 x

Time require for y Math problem =10 y

so,

20 x+10 y\leq 120\ldots 2

On solving (1) and (2)

we get x=2 and y=8

Maximum no of Physics question which can be solved is 2

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<u>There are two inequalities that represent the total number of </u>

<u>balloons, b, they can purchase and not spend over their budgeted amount:</u>

<u>0.65b ≤ 70</u>

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Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Budget to plan the event = $ 295

Expenses on supplies so far = $ 225

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2. Which of the following inequalities represents the total number of

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Replacing with the values we know, we have:

b ≤ (295 - 225)/0.65

0.65b ≤ 295 - 225

<u>0.65b + 225 ≤ 295</u>

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