[ Answer ]
Y = -12 / 5
[ Explanation ]
Expand:
-3y - 9 = 2y + 3
Add 9 to both sides:
-3y - 9 + 9 = 2y + 3 - 9
Simplify:
-3y = 2y + 12
Subtract 2y from both sides:
-3y - 2y = 2y + 12 - 2y
Simplify:
-5y = 12
Divide both sides by -5:
-5y / -5 = 12 / -5
Simplify:
Y = -12 / 5
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From inspecting the graph, you can identify the y-intercept and the slope of the line shown.
The y-intercept is 200 gallons.
The slope is
75-200
m = ------------- = -12.5 gallons/minute
10 - 0
Thus, y = 200 gallons - [12.5 gallons/minute ]t
To answer the 2nd question, let t = 12 minutes and calculate y(12).
To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
Answer:
Step-by-step explanation:
Answer:
Let us assume that the pay rate per hour = x
no. of hours worked = n
Gross earnings = x*n
Federal taxes = 18% of gross earnings
= 0.18(x*n)
State taxes = 4% of gross earnings
= 0.04(x*n)
Social security deduction = 7.05% of gross earnings
= 0.0705(x*n)
Total deductions = Federal taxes + State taxes +SSD
= 0.18(x*n) + 0.04(x*n) + 0.0705(x*n)
= 0.2905(x*n)
Net pay = Gross earnings - Total Deduction
Net pay = x*n - 0.2905(x*n)
Net pay = 0.7095(x*n)
Answer:
ABC is translated right 5 units and down 5 units
Step-by-step explanation:
The vertices of the original and new triangles haven't moved. Only the triangle as a whole moved from one place to another. The other choices involved reflecting the triangle in which the vertices change locations that are different from their original locations. Hope this helps!
