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satela [25.4K]
3 years ago
8

A student earns $10 per hour for tutoring and $7 per hour as a teacher's aide. To have enough free time for studies, he can work

no more than 20 hours per week. The tutoring center requires that each tutor spends at least three hours per week tutoring, but no more than eight hours per week. How many hours should he work to maximize his earnings?
hours of tutoring hours as a teacher's aide What is the maximum profit? $
Mathematics
1 answer:
gavmur [86]3 years ago
5 0
Since he gets paid more for tutoring, he should work as many hrs tutoring as possible. He can only work at most 20 hrs. He has to work at least 3 hrs tutoring but no more then 8 hrs.....to maximize profit, he needs to work 8 hrs tutoring...leaving 12 hrs as a teachers aide. He should work 20 hrs to maximize his earnings.

maximum profit is : 8(10) + 12(7) = 80 + 84 = 164




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8. An online bank statement reads as follows: Account balance: $986.24 Car payment: $203.34 Gas bill: $96.67 Check deposit: $128
Lunna [17]
Starting balance : 986.24

deductions :
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gas bill : 96.67
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deposits :
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total deposits : 1289.60 + 45 = 1334.60

Balance to date : 986.24 + 1334.6 - 397.13 = 1923.71 <==
8 0
3 years ago
Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian
stepan [7]
25-14=11 and 26.5-21=5.5
11 paperback books
3 0
3 years ago
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“The sum of 6 consecutive integers is 519” what is the third number in this sequence?
Rashid [163]
Let x be the first integer, then
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x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
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6x + 15 = 519
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6x = 504
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x = 84
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Our sequence is
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84, 85, 86, 87, 88, 89
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7 0
3 years ago
Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day. If Mr.Mason drinks 118 ounces
denis-greek [22]

The total weight of Mason is 177

<em><u>Solution:</u></em>

Given that, Mr.Mason takes two-thirds of his body weight and drinks that amount of gatorade in ounces per day

Mr.Mason drinks 118 ounces each day

Let "x" be the total weight of Mr.Mason

Therefore, we can say,

Two third of body weight = Amount of gatorade drank in ounces per day

Two third of x = 118

\frac{2}{3} \text{ of } = 118\\\\\frac{2}{3} \times x = 118\\\\2x = 118 \times 3\\\\2x = 354\\\\x = \frac{354}{2}\\\\x = 177

Thus total weight of Mason is 177

6 0
3 years ago
The ratio of boys to girls in a class is 4:5 what fraction of the class is boys and what fraction of the class is girls
ale4655 [162]
First, let's start off with the information we already have. Since the ratio is 4 boys to 5 girls, there has to be a minimum of 9 students (4 being boys and 5 being girls).

9 will be the denominator of both of our fractions since the boys and girls are in the same class.

The fraction of boys in the class is 4/9 (since there are 4 boys to 5 girls in a class of 9, we would write 4 over 9) and the fraction of girls in the class is 5/9.

This is a simplified version of the fractions. If this is a multiple-answer question and 4/9 and 5/9 are not up there, try multiplying the fractions with different numbers and see what fractions will be correct. 

But either way, 4/9 and 5/9 are correct :)

7 0
3 years ago
Read 2 more answers
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