ANSWER:
2(-x+6)
If you want it simplified the answer is 2x+12
Hopefully I helped
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
Answer:
See below.
Step-by-step explanation:
Part A:
For Dog walking, he earns $30 for 5 hours of work.
He earns $36 for 6 hours of work.
$30/5 hours = $6/hour
$36/6 hours = $6/hour
He earns $6/hour dog walking.
For 8 hours, he earns 8 hours * $6/hour = $48
To earn $66, he works 66/6 = 11 hours.
5 30
6 36
8 48
11 66
Part B:
He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.
Table for yard work
Hours Money
5 $35
6 $42
8 $56
Part C:
For 5 hours, he earns $35 for yard work and $30 as a dog walker.
$35 - $30 = $5
Answer:
1. 35 - 176 = -141
2. 0.55 × 1.79 = 0.9845
3. 11.38 × 5.46 = 62.1348
Hope it helps and have a great day! =D
~sunshine~
Is the x2 supposed to be squared?