Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
ANSWER: $84
EXPLANATION:
We need to know the surface area of the room with the specified dimensions.
A = 2(wl + hl + hw)
w = 12
h = 8
l = 16
A = 2( (12 * 16) + (8 * 16) + (12 * 8) )
A = 2(192 + 128 + 96)
A = 2(416)
A = 832 square feet
832 / 150 = 5.546666666666667
(Round that up to the next whole number)
You need 6 gallons, or 6(14) dollars
So #1 you're lazy like me. But
1: x=1
2. No solution
3: x= -4/-3
4: 46=13 false
5: 37=-37 false
stem = 23
leaf = 1
Answer is choice D
The leaf is always a single digit because you can have multiple leaves without any separating mark. If you have something like "123" on the leaf column, then that means you have three leaves of 1, 2 and 3 which correspond to the same stem.
You are basically asking 160% of X = 70.
1) 70 x 100 = 7000 (to turn the 70 into a %)
2) 7000 /160 = 43.75
You can reverse the equation to double check the answer.
160% x 43.75 = 70
