Answer:
Mr. Russo takes three minutes less than Mr. Lloyd to pack a case when each works alone.
One day, after Mr. Russo had spent six minutes in packing the case, the boss called him away, and Mr. Lloyd finished packing the case in four more minutes.
How many minutes would it take Mr. Russo alone to pack the case?
:
Let t = time required by Russo alone
then
(t+3) = time required by Lloyd alone
:
Let completed job = 1; (a packed case)
:
Russo + Lloyd = completed job
6%2Ft + 4%2F%28%28t%2B3%29%29 = 1
:
Multiply by t(t+3)
t(t+3)*6%2Ft + t(t+3)*4%2F%28%28t%2B3%29%29 = 1t(t+3)
:
Cancel the denominators, and you have:
6(t+3) + 4t = t^2 + 3t
6t + 18 + 4t = t^2 + 3t
10t + 18 = t^2 + 3t
:
Arrange as a quadratic equation on the right:
0 = t^2 + 3t - 10t - 18
t^2 - 7t - 18 = 0
Factors to
(t-9)(t+2) = 0
:
The positive solution is what we want here:
t = 9 minutes, time required by Russo alone
:
:
Check solution in original shared work equation (Lloyd requires 12 min)
Your answer would be 18.39
And here's why:
Behind the decimal your numbers are in the following places.
The (3) is in the tenths place.
The (8) is in the hundredths place.
And the (6) is in the thousandths place.
Whatever number is AFTER the place your rounding, is going to help you out.
If the number is 1-4, you round down.
If the number is 5-9, you round up.
Hope this helps! (:
Answer:
4.33 recurring
Step-by-step explanation:
do the inverse
11+2=13
13/3=4.33333
t=4.33333
please mark as brainliest<3
Answer:
Both boxes have the same amount of work applied to them. The smaller box will get to the end first.
Step-by-step explanation:
For the 400 kg box, we can say,
force = 1 newton
force = mass*acceleration
1 = 400*acceleration
acceleration = 1/400 meters per second^2
acceleration = 0.0025 meters per second^2
Each second, the larger box's velocity is increasing by 0.0025 meters per second.
While the smaller box would have an acceleration of...
force = 1 newton
force = mass*acceleration
1 = 200*acceleration
acceleration = 1/200 meters per second^2
acceleration = 0.005 meters per second^2
Which is twice as much as the larger box.
Put simply: if the force applied is the same for the two boxes, then the smaller box will have larger acceleration. This is because more force is needed to push on the larger mass.
Because the smaller box has more acceleration, it will naturally travel faster compared to the larger box. Therefore, the smaller box reaches the goal line faster.
Answer:
10
Step-by-step explanation:
43+8=51
41+10=51
both equal 51
