When you multiply/divide by a negative number while solving the inequality, you reverse the symbol.
A.) 4(5 - y) ≥ 80 To solve this, isolate/get the variable "y" by itself in the inequality. Divide 4 on both sides
5 - y ≥ 20 Subtract 5 on both sides
5 - 5 - y ≥ 20 - 5
-y ≥ 15 Divide -1 on both sides to get "y" by itself
Because you are dividing by a negative number, you need to reverse the sign
y ≤ -15
B.) 2(y - 3) ≥ 8 Isolate "y", divide 2 on both sides
y - 3 ≥ 4 Add 3 on both sides to get "y" by itself
y ≥ 7
C.) 3y - 4 > 1 Add 4 on both sides
3y > 1 Divide 3 on both sides to get "y" by itself
D.) 
Isolate "y", add 3/4 on both sides
6y > 1 Divide 6 on both sides to get "y" by itseld
Hi there!
Let's solve this equation step by step!
First work out the parenthesis, which can for instance be done using rainbow technique.
Subtract 2u from both sides.
Subtract 38 from both sides.
And finally divide both sides by -6, in order to isolate the variable u. Remember that dividing a negative by a negative gives a positive outcome.
Hence, the answer is u = 9.
~ Hope this helps you!
Answer: (US$ 38.00) + 80% =
68.4 US$
Step-by-step explanation:
Given:
The figure of a triangle LMN.
P is the centroid of triangle LMN.
To find:
14. Find the value of PN if QN=30.
15. Find the value of PN if QN=9.
Solution:
We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.
Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.
14. We have QN=30.
Therefore, the value of PN is 20 when QN=30.
15. We have QN=9.
Therefore, the value of PN is 6 when QN=9.
