Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
Answer:
180
Step-by-step explanation:
4 times 20 is 80, and 4 times 5 is 100, so add those together and that's the total number of coins
The coefficients are 15 and 85.
the variables are x and y.
85 represents 85 dollars for each x, which is the number of shifts.
15 represents 15 dollars for each y, which is the number of dog walking jobs.
28=2*2*7=2²*7;
46=2*23=>the greatest common factor is 2
Answer: x = 12
Step-By-Step: 180 - 100 = 80
Step-By-Step: 80 - 12 = 68
Step-By-Step: 68 is angle ( X + 12)
68 + 12 = 80 + 100 equals 180
