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SIZIF [17.4K]
3 years ago
15

Trash-A-way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage -No-Mor

e charges a flat feet of $45 per month. Write a system of equations to represent each plan. How many pounds of trash would make the two plans equal.
Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

25 + 0.25x=45

0.25x=20

x= 20/0.25 = 80

 so 80 pounds of trash

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The answer should be C
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3 years ago
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Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hou
Oksana_A [137]

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

x+y\leq 13

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

4x+7y\geq 65

Number of hours can not be negative.

x\geq 0, y\geq 0.

Therefore, the required system of inequalities contains some equations,  x+y\leq 13,4x+7y\geq 65 and x, y\geq 0.

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2 years ago
F(x)= 20 + 12(x - 2)​
Vinvika [58]

Answer:

f(x) = 12x - 4

Step-by-step explanation:

f(x)= 20 + 12(x - 2)​

Distribute

f(x) =20 +12x - 24

Combine like terms

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f(x) = 12x - 4

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