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Ann [662]
3 years ago
10

James works as a tutor and a lawn mower. Both jobs require that he work at least three hours per week. Since James attends schoo

l, he can only work 15 hours a week. If James is paid $20 per hour as a tutor and $10 per hour as a lawn mower, which of the following is true about the number of hours he can work as a tutor (t) and lawn mower (m)?

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0
Answer: The correct choice is that he can maximize his earnings by working 12 hours as a tutor and 3 hours as a lawn mower.

James will make the most money by working at the job that pays him the most. However, he has to work at least 3 hours at $10 per hour. 

Therefore, he should work only 3 mowing lawns and the rest tutoring.
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Step-by-step explanation:

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People drank 75 cups, First find the amount of juice that Mrs. Jackson bought .Then subtract the 3 cups of juice that were left over

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15. The dollar amount y that remains to be repaid on a loan x months after the loan is issued is represented by y=-1000x + 8000.
irina [24]

Answer:

1) $8000

2) $1000

3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

Step-by-step explanation:

We have the equation y = -1000x + 8000 which follows the linear equation:

y = mx + b, where m is our slope and b is our y-intercept

1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start

2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account

3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.

0  = -1000x + 8000

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It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

5 0
2 years ago
A model house has a scale of 1 cm to 3 meters.If the model house 5cm,then how is tall is the house.
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6 0
3 years ago
Help please!!
Free_Kalibri [48]
Tan²( θ ) - (1 + √3) tan (θ) + √3 = 0

tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0

tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0

tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0

( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0


tan( θ ) - 1 = 0

θ = π/₄

tan( θ ) - √3 = 0


θ = π/₃


so θ = π/₄ and θ = π/₃
7 0
2 years ago
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