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lys-0071 [83]
3 years ago
9

Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th

is week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
three and one fourth + 2x ≤ 6
three and one fourth + 2x ≥ 6
three and one fourthx + 2 ≤ 6
three and one fourthx + 2 ≥ 6
Mathematics
1 answer:
vfiekz [6]3 years ago
5 0

Answer:

three and one fourth + 2x ≥ 6

Step-by-step explanation:

Let

x -----> the minimum number of hours he needs to practice on each of the two days

we know that

needs to spend at least seven hours each week practicing the drums

so

3\frac{1}{4}+2x\geq 6\ hours

Convert mixed number to an improper fraction

3\frac{1}{4}\ hours=\frac{3*4+1}{4}=\frac{13}{4}\ hours

substitute

\frac{13}{4}+2x\geq 6\ hours

Subtract 13/4 both sides

2x\geq 6-\frac{13}{4}

2x\geq \frac{11}{4}

Divide by 2 both sides

x\geq \frac{11}{8}

therefore

The minimum number of hours he needs to practice on each of the two days is \frac{11}{8}\ hours

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Answer with work pls
viktelen [127]

Answer:

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Step-by-step explanation:

Hello!  

To solve this question, we would first need to look at the data. In this data, there are people who chose their favorite sport, and the number of people who chose that response. In order to solve the problem, we would have to find the ratio of how many people choose baseball over the other sports.

By this, we can add the number of students together. 30+10+5+15=60. Out of those 60 students, only 5 people chose baseball.

Since the ratio of the people who chose baseball is 5/60 (meaning that it is a 5/60 % chance someone would pick this sport), we would need to find the amount of people assumed to pick baseball in 600 student survey.

We can make a relationship with these two numbers.

\frac{5}{60} =\frac{x}{600}, since the ratio of the students who chose baseball remain the same.

You can see that the ratio on the denominators just add a zero on the bottom, so the top should add 0 as well, to get 50 for x, what we needed.

You can also solve that relationship by cross multiplication.

5(600)=x(60

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5 0
2 years ago
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