Answer:
x is 4
Step-by-step explanation:
Step one: Add 12x to both sides-
8x-19+12x=-12x+61+12x
20x-19=61
Step 2: add 19 to both sides
20x -19+19=61+19
20x=80
Step 3: divide both sides by 20
20x/20=80/20
x=4
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".
The answer is .9
<em><u>I hope this helps.</u></em>
Answer:
68×32= 2176
Step-by-step explanation:
Answer: 0.5%
3 pages out of 650 is 0.5%
