Answer:
x>=5/6
Step-by-step explanation:
She's practiced 2 1/3 hours already. Therefore, she has 1 2/3 hours left to practice. Let x be the minimum number of hours she needs to practice on each of the remaining two days.
Splitting up the remaining hours into two days, we get (5/3) divided by 2, which is 5/6 hours per day.
x is greater than or equal to 5/6 hours per day.
Answer:
- large: 40 lbs
- small: 20 lbs
Step-by-step explanation:
A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.
Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...
L + S = 60 . . . . . . combined weight is 60 lbs
70L +60S = 4000 . . . . weight of boxes in the truck
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We can solve this by substituting for s in the second equation.
70L +60(60 -L) = 4000
10L = 400 . . . . . . . . . subtract 3600, simplify
L = 40
S = 60 -L = 20
A large box weighs 40 pounds; a small box weighs 20 pounds.
The square root of 2 is 1.4142135624
Answer:
Option 4: 4¹¹
Step-by-step explanation:
Looking at the problem, I need to work out 4⁴ squared first, which is the same as 4⁸. Then multiply that by 4³ to get 4¹¹. What I did was simply add 3 + (4 * 2), which is 11.
AC is not the bisector of angle BAD. AC made both sides a triangle and every triangles angles have to add to 180 degrees. So 115+30= 145 meaning angle DAC is 35 degrees. So AC cuts through BAD but one side is 30 degrees and the other is 35(DCB and DAB are the same angle…they both have to add up to 65 degrees)
