<span>Simplifying
3x + -8 = 31
Reorder the terms:
-8 + 3x = 31
Solving
-8 + 3x = 31
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x = 31 + 8
Combine like terms: -8 + 8 = 0
0 + 3x = 31 + 8
3x = 31 + 8
Combine like terms: 31 + 8 = 39
3x = 39
Divide each side by '3'.
x = 13
Simplifying
x = 13</span>
Answer:
Step-by-step explanation:
Answer:
We can set up a system of equations.
x + y = 111
0.25x + 0.10y = 18.30
x + y = 111
Subtract 'y' to both sides:
x = -y + 111
Plug in '-y + 111' for 'x' in the 2nd equation:
0.25(-y + 111) + 0.10y = 18.30
Distribute 0.25 into the parenthesis:
-0.25y + 27.75 + 0.10y = 18.30
Combine like terms:
-0.15y + 27.75 = 18.30
Subtract 27.75 to both sides:
-0.15y = -9.45
Divide -0.15 to both sides:
y = 63
Plug this back into any of the two equations to find the 'x' value.
x + y = 111
x + 63 = 111
Subtract 63 to both sides:
x = 48
So there are 48 quarters and 63 dimes.
Step-by-step explanation:
Hope This Helps!
Answer:
A. Rectangle
Step-by-step explanation:
It is often useful to plot the given points on a graph. Doing that lets you see the figure is a rectangle. You can count grid squares to see that the distances are the same between the endpoints of opposite sides.
