Answer: First half was 24 minutes
Step-by-step explanation:
Let the time taken to finish the second half be y.
Since the student used 2/3 of the second half time to finish the first half, first half = 2/3 × y = 2y/3
The entire exam is an hour which equals 60 minutes
First half + Second half = 60minutes
Note that first half is denoted as 2y/3 and second half is denoted by y.
2y/3 + y = 60
5y/3 = 60
Cross multiply
5y = 60 × 3
5y = 180
y = 180/5
y = 36
Second half took 36 minutes
Since first half is 2y/3, it will be:
(2×36) / 3
= 72/3
= 24minutes
First half took 24 minutes.
2x - 3y = - 2
3x - 2y = 12
the value of X in the solution to the system is 4.
Answer:
-3=(1/2)(2)+3
Step-by-step explanation:
we are given
we can also write it as
now, we can use factor formula
we can use above formula
we get
now, we can simplify it
now, we can set it to 0
and then we can solve for x
now, we can use quadratic formula
now, we can plug values
and we get
So, we will get solution as
...............Answer