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poizon [28]
3 years ago
12

Create the Systems of inequality for the following scenario:

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0

Answer:

8 x + 25y ≥100

x+y ≤ 14

Step-by-step explanation:

Hi, to answer this question we to write a system of inequalities.

First inequality:  

The product of the earnings per hour working at culvers (8) and the number of hours worked there, plus the product of the earnings per hour mowing lawns (8) and the number of hours mowing must be greater or equal to $100.

Second inequality:

The amount of time he works at culvers (x) plus the amount of time he works mowing lawn (y) must be less or equal to 14 hours.

8 x + 25y ≥100

x+y ≤ 14

Where:

x = number of hours worked at Culvers

y= number of hours worked Mowing lawns

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Solve each system of equations by writing a new system that eliminates one of the variables.
Rufina [12.5K]

Answer:

x=33\\y=-41

Step-by-step explanation:

Let:

2x+y=25\hspace{5}(1)\\and\\4x+3y=9\hspace{5}(2)

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

2*(1)\equiv\hspace{5}4x+2y=50

Now subtract (2) from 2*(1) in order to eliminate x:

2*(1)-(2)\\4x-4x+2y-3y=50-9\\-y=41

Solving for y:

Multiplying both sides by -1  

y=-41

Finally, replacing the value of y in (1)

2x-41=25

Solving for x:

add 41 to both sides:

2x=66

Multiply both sides by 1/2:

x=\frac{66}{2} =33

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3 years ago
True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times
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Answer:

True

Step-by-step explanation:

No need for explanation

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I earned $100. I wish to give 15% of this to my mother. How much should I give her?
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