Answer:
x=4
Step-by-step explanation:
4x-6 + 2x = 18
Combine like terms
6x -6 = 18
Add 6 to each side
6x-6+6 =18+6
6x = 24
Divide each side by 6
6x/6 = 24/6
x =4
Answer:
The workers will need 10 days to finish the job.
Step-by-step explanation:
To solve this question we can use a compound rule of three. We have:
10 road workers -> 5 days -> 2h/day
2 road workers -> x days -> 5h/days
The first thing we should do is analyze how the proportions between the variables work, if they're inversely or directly proportional. If we raise the number of workers we expect that the amount of days needed to finish the job lowers and if we raise the number of hours worked in a day we expect that the workers would need less days to finish the job. So we need to invert the fractions that are inversely proportional to the amount of days worked, then we have:
2 -> 5 -> 5
10-> x -> 2
x = (5*2*10)/(2*5) = 100/10 = 10 days
Answer:
s = 21.16
Step-by-step explanation:
0.5s +1= 7+ 4.58
Combine like terms
0.5s +1=11.58
Subtract 1 from each side
0.5s +1-1= 11.58-1
.5s = 10.58
Multiply by 2
.5s *2 = 10.58*2
s = 21.16
Answer:
3
Step-by-step explanation:
2x + 3 = -x + 12
subtract 3 from both sides
2x = - x + 9
add x to both sides
3x = 9
divide by 3
x = 3
Answer: D. (x-6)(x-6)
Step-by-step explanation:
We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:
(1)
First term:
Third term:
If we factorize this expression we have:
As we can see, the trinomial (1) has two factors:
and
Therefore, the correct option is D.
