Answer:
Option D.
Step-by-step explanation:
The given system of equations is
...(1)
...(2)
On simplifying the second equation, we get
On dividing by -1, we get
...(3)
It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.
So, the given system of equations has infinitely many solutions.
Therefore, the correct option is D.
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u
Speed of current = v
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045
v = 0.5205
Now the time taken by the un powered raft to cover this distance
Because un powered raft travel with the speed of the current.
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
The second equation has a slope of -2 and passes thru the point (3,-2)
These are false. Tami will need to work 11 weeks to get to her goal. To find out this problem, first take out the 100 from the 320 which then gives you 220. Then divide 220 by 20 which gives you 11. 1 is wrong because Tami does not have to work more than 21 weeks to get to her goal. 2 is also wrong because Tami does not need to save more that 11 weeks to get to her goal, she has to work 11 weeks only.
Answer:
2 hours.
Step-by-step explanation:
Money earned for 14 hours of life-guarding = 14*18 = $252. If he worked another 5 hours to make the maximum of 19 he would earn 252 + 5*9
= $297 but he wants to work a minimum of hours for a minimum of 270.
Thus we have the inequality:
252 + 9x ≤ 270
9x ≤ 18
x ≤ 2.
So the number of hours he must do clearing tables = 2.
