You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.
Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions
Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions
x+y=24
Subtract y from both sides
x=24-y
Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14
Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10
So there are 10 three point questions
There are 14 five point questions.
Hope this helped! :)
Answer : The speed of both planes is 61.25 mph and 18.75 mph respectively.
Explanation:
Let the speed of first plane be x mph
Let the speed of second plane be y mph
Since we have given that difference of speeds is 80 mph
i.e. x - y= 80 (
1)
Distance between two planes = 3400 miles
As they are flying towards each other i.e. they are in the opposite direction.
So, Relative speed will be the sum of their speeds i.e.
Relative speed = x + y
And we know speed = 
Speed= 
⇒ Speed = 42.5 mph
Hence, Relative speed becomes 42.5 mph
⇒ x+y=42.5 (
2)
Now, by using the elimination method of solving the system of equation, we have ,
x= 61.25 mph
and y = 18.75 mph
Answer:
We have to get the average transaction time down to 371 seconds or 6 minutes 11 seconds.
Step-by-step explanation:
The average transaction time for this location is 6 minutes and 52 seconds.



The average transaction time for this location is

The average transaction time is reduced by 10%.
The average transaction time of this location reduced to 371 seconds.
The average transaction time of this location reduced to 6 minutes 11 seconds.
In this question, we're assuming Ralph had 0 in his saving funds to start with.
The glasses cost 1200 dollars.
There are 12 months in a year.
Each month, Ralph is given his check two times, that means that Ralph receives his check 2(12), or 24, times per year.
Divide 1200 (the cost of the glasses) by 24 (the amount of times Ralph is given his check)
1200 / 24
Divide both numerator and denominator by 12
100 / 2
Simplify
50
Ralph should have put 50 dollars per pay check to pay for the glasses.
A is your answer.
Have an awesome day! :)