Answer:
D. 2/17
Step-by-step explanation:
Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.
Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.
The answer is 4x + 5y.
Here, what needs to be done is to combine like terms.
- 5x + 4y + 3x - 7y - 4x + 8y
- 5x + 3x - 4x + 4y + 8y - 7y
- 4x + 5y
To find the intersecting point, you have to put the two formulas equal to each other
First isolate the same variable, in this case y
So y=x-4
Now we can say
2x + 7 = x - 4
Now solve for x
X= 3
Now fill this in in either one of the formulas
Y= 2 (3) + 7
Y= 13
So they’ll intersect at (3,13)
Answer:
Case1:
Men : 30
Work : 1
Time (day×hr): 56×6 = 336 hr.
Case2:
Men : let it be m men.
Work: 1
Time: 45×7 = 315 hr.
Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.
Product of men and time is constant in both cases.
Therefore, 30×336=m×315
Or, 30×336/315 = m
Or, m = 32.
Hence, required number of men is 32.
Step-by-step explanation: