Answer:Simplifying
6 + -2x = 6x + -10x + 6
Reorder the terms:
6 + -2x = 6 + 6x + -10x
Combine like terms: 6x + -10x = -4x
6 + -2x = 6 + -4x
Add '-6' to each side of the equation.
6 + -6 + -2x = 6 + -6 + -4x
Combine like terms: 6 + -6 = 0
0 + -2x = 6 + -6 + -4x
-2x = 6 + -6 + -4x
Combine like terms: 6 + -6 = 0
-2x = 0 + -4x
-2x = -4x
Solving
-2x = -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-2x + 4x = -4x + 4x
Combine like terms: -2x + 4x = 2x
2x = -4x + 4x
Combine like terms: -4x + 4x = 0
2x = 0
Divide each side by '2'.
x = 0
Simplifying
x = 0
Step-by-step explanation:
Answer:
a) The sensor will read 75 liters at 5 minutes
Step-by-step explanation:
a) set up as a proportion and cross multiply to solve.
15 liters/1 minute = x/5 minutes
x = 75 liters
11.25
Convert 15% to decimal of 0.15
Then multiply 0.15 by 75 to get 11.25
The product of two even numbers is even.
Let m and n be any integers so that 2m and 2k are two even numbers.
The product is 2m(2k) = 2(2mk), which is even.
Things to think about:
Why didn’t I just show you by using any two even numbers like the number 4 and the number 26?
Why did I change from "m" to "k" ? Are they really different numbers or could they be the same?
Why did I specifically say that m and k were integers?
The product of two odd numbers is an odd number.
Let m and k be any integers. This means that 2m+1 and 2k+1 are odd numbers.
The product is 4mk + 2m + 2k + 1 (hint: I used FOIL) which can be written as
2 ( 2mk + m + k ) + 1 which is an odd number.
Answer: 
Step-by-Step Explanation:
Let's solve for 
.
Step 1: Multiply both sides by 
.
Step 2: Multiply both sides by 
.
Step 3: Add 
to both sides.
Step 4: Add 
to both sides.
Step 5: Add 
to both sides.
Step 6: Factor out variable .
Step 7: Divide both sides by 
.
Answer:
