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Marianna [84]
2 years ago
6

Is 3/7 and 10/21 proportional ? 15 points

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
4 0

Answer:

NOT proportional.

Step-by-step explanation:

Get a common denominator of 21 by multiplying 7 and 3 by 3.

\frac{3}{7}(\frac{3}{3})=\frac{9}{21}

When both fractions have the same denominator, their numerators are different. Therefore, they are NOT proportional.

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Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
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As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. 
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. 
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r + y ≤ 15
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We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
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What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? 
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
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What is the maximum amount of money Lia can earn in a week? 
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That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
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