Answer:
Option 3. -8
Step-by-step explanation:
we have
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
----> the isolated constant right side is -8
Rewrite as perfect squares
Square root both sides
Answer:infinite solution
8(k - 6) + 58 = 2(4k + 5)
⇔ 8k - 48 + 58 = 8k + 10
⇔ 10 = 10
=> infinite solution
Step-by-step explanation:
Answer:
18 days.
Step-by-step explanation:
We have been given that 12 painters paint the wall of a school in 21 days.
So the wall painted by one painter will paint the wall in
As one painter will paint the wall in 252 days, so to find the number of days it will take to paint the same wall by 14 painters, we will divide time taken by one painter (252) by 14.
Therefore, it will take 18 days to paint the same wall by 14 painters.
Answer:
at least 9 students in each cohort.
Step-by-step explanation:
Given that :
In a class, there are 25 students and each of them is either a sophomore, a freshman or a junior. We have to determine the number students in the same cohort.
Let us suppose there are equal number of students in each of the cohort.
Now let us assume that the number of the students in each cohort be 8, i.e. each as a freshman, a junior or a sophomore. Therefore, the total number in the all the cohorts will be 24 students only.
Thus, we can say that there are at least freshman, at least sophomore or at least junior in each of the cohort.