Simplifying
10 = 2r + -8
Reorder the terms:
10 = -8 + 2r
Solving
10 = -8 + 2r
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-2r' to each side of the equation.
10 + -2r = -8 + 2r + -2r
Combine like terms: 2r + -2r = 0
10 + -2r = -8 + 0
10 + -2r = -8
Add '-10' to each side of the equation.
10 + -10 + -2r = -8 + -10
Combine like terms: 10 + -10 = 0
0 + -2r = -8 + -10
-2r = -8 + -10
Combine like terms: -8 + -10 = -18
-2r = -18
Divide each side by '-2'.
r = 9
Simplifying
r = 9
Answer:
l.c.m of 15 and 5 is 15
next step is to equalize the denominator with the l.c.m value
11/15 is the same (same denominator)
3/5 will change to 9/15 (multiply numerator and denominator by 3 to equalize)
Lastly, you just need to subtract
11/15 - 9/15
2/15
Answer:
Step-by-step explanation:
1. Solve what is in parenthesis first. (230-180+10) = 60
2. Multiply 60 and 32 = 1920
3. Add 3
Answer: 1923
Answer:

Step-by-step explanation:
Given
See attachment for diagram
Required
The equation to find x
First, calculate the area of the big rectangle using:

So:

The smaller rectangle

The difference between this areas give the area of the shaded region.
So:


Open brackets

Collect like terms


<em>The above equation can be used to solve for x</em>