Answer:
Step-by-step explanation:
-2(6+s) ≥ -15 -2s
step 1: first remove the parenthesis
-12 - 2s ≥ -15 -2s
step 2: add +12 to each side to combine like and unlike terms
-12 - 2s + 12 ≥ 15 - 2s +12
= -2s ≥ 27 - 2s
step 3: then add +2s to each side to obtain unknown sides
-2s + 2s ≥ 27 -2s + 2s
0 ≥ 27 + 0
Answer: No solution
In Summary
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Step 4 Divide each term of the inequality by the coefficient of the unknown. If the coefficient is positive, the inequality will remain the same. If the coefficient is negative, the inequality will be reversed.
Step 5 Check your answer.
The Gcf is finding the greatest numbers the lcm is finding the least factor
and the are the same because your finding the common number> (means same number)
Y = 8x - 2.....slope here is 8. A parallel line will have the same slope.
The other line would be : y = 4 + 8x (or y = 8x + 4).....because they both have the same slope, which makes the lines parallel to each other
Answer:
There are 600 students in this school.
Step-by-step explanation:
Let p represent the total population of the school.
Then (1/3)p represents the number of students who like math. Subtracting this (1/3)p from p gives an expression representing those who do not like math:
p - (1/3)p = (2/3)p
400 students do not like math, so (2/3)p = 400.
Solve this for p by multiplying both sides by (3/2):
(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.
There are 600 students in this school.