Answer:
m = 7
Step-by-step explanation:
2m + -4 = 10
Reorder the terms:
-4 + 2m = 10
Solving
-4 + 2m = 10
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2m = 10 + 4
Combine like terms: -4 + 4 = 0
0 + 2m = 10 + 4
2m = 10 + 4
Combine like terms: 10 + 4 = 14
2m = 14
Divide each side by '2'.
m = 7
Simplifying
m = 7
Group and factor
group y's with y's and z's with z's
(y²-10y)+(10z-yz)
factor
y(y-10)+z(10-y)
force undistribute -1
-y(10-y)+z(10-y)
factor
(10-y)(-y+z)
(z-y)(10-y) or
(y-z)(y-10)
First calculate the percentage of math.
100-23-30-15-12
=20%
then 150x20% for the math
=30 so there are 30 students chose math.
Answer:
x ≥ 8
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define inequality</u>
-36x - 24 ≤ -6(5x + 12)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -6: -36x - 24 ≤ -30x - 72
- Add 36 on both sides: -24 ≤ 6x - 72
- Add 72 on both sides: 48 ≤ 6x
- Divide both sides by 6: 8 ≤ x
- Rewrite: x ≥ 8
Here we see that any number <em>x</em> greater than or equal to 8 would work as a solution.
