So what you do is see all the denomenators and factor them (denomenaotrs are the bottom numbres)
10,4,10,25
10=2 times 5
4=2 times 2
10=2 times 5
25=5 times 5
we need to include all of them so we need at leas two 2's, and two 5's
2 times 2 times 5 times 5=100
leact common denomator is 100
Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this
And you can simplify by eliminating the fours and multiplying straight across
You can pull out - 7 from the top and 2 from the bottom so you have this
And then you can cancel out to (2-x) to get an answer of
Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
12=2+c
c=$10
Carey earns $10 hourly
To find the perpendicular slope, we simply flip the fraction (aka reciprocal) and flip the sign (go from positive to negative, or vice versa)
So for problem 1a) we flip the fraction to go from 4/3 to 3/4. Then we flip the sign to go from +3/4 to -3/4. The final answer to problem 1a) is -3/4
The answer to problem 1b) is 7/3 following the same basic steps: -3/7 ---> -7/3 ---> 7/3
The answer to problem 1c) is -1/4. You can think of 4 as 4/1 which flips to 1/4 and it becomes -1/4
I'll let you try out the rest 1d and 1e. Tell me what you get so I can check your answers.
Answer:
z + 12 = 9
Reorder the terms:
12 + z = 9
Solving
12 + z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + z = 9 + -12
Combine like terms: 12 + -12 = 0
0 + z = 9 + -12
z = 9 + -12
Combine like terms: 9 + -12 = -3
z = -3
Simplifying
z = -3
Step-by-step explanation:
