Answer:
4 hours
Step-by-step explanation:
Ratio of working together
Job : number of hours
1 : 3 = 1/3
Trainer
Job : number of hours
1 : x = 1/x
Trainee
Job : number of hours
1 : 3x = 1/3x
1/x + 1/3x = 1/3
Multiply through by 3x
3x(1/x) + 3x(1/3x) = 3x(1/3)
3 + 1 = x
4 = x
x = 4 hours
It takes the trainee 4 hours to finish the job
All you do is multiply all the numbers together, and you get V = 168
Answer:
-4x/7
Step-by-step explanation:
4x + 7y = -35
7y = -4x - 35
y= -4x/7 - 35/7
y= -4x/7 - 5
-4/7 (the slope is the x equation)
Answer:
parallel line slop2 = -5/4
perpendicular line slope = 4/5
Step-by-step explanation:
If 2 lines are parallel, they will have equal slopes.
Therefore, the slope of a line parallel to y = 1/4 - 5/4 x will be -5/4
If 2 lines are perpendicular, their slopes are negative reciprocals of each other. So the slope of the perpendicular line = -1 ÷ -5/4 = 4/5
Answer:
Step-by-step explanation:
This is an Arithmetic Series with common difference 4 and first term 3
so the nth term an = 3 + (n -1)4
= 4n - 1.
The sum of n terms
= n/2 (a1 + L)
= n/2(3 + 1671)
= 837n.
There are (1671-3) / 4 + 1 = 418 terms in the series,
so the total value of the series is 837*418
= 349,866.
.