Answer:
Equation is;
(D/8) + (D/4) = 1600
D = 4266.67 ft
Step-by-step explanation:
We are told that the bee flies at a rate of 8ft/sec directly to a flowerbed from its hive. Thus,
speed during this stage is; v1 = 8ft/sec
Time during this stage is; t1
The bee stays at the flower bed for 1200 seconds.
Thus, time at this stage is; t2 = 1200 s
It flies directly back to the hive at 4ft/sec.
Speed at this stage; v2 = 4 ft/s
Time at this stage; t3
We are told that it was away for a total of 2800 seconds.
Thus; t1 + t2 + t3 = 2800
Since t2 = 1200 s, then;
t1 + 1200 + t3 = 2800
t1 + t3 = 2800 - 1200
t1 + t3 = 1600
Now, during time t1, the speed was 8ft/sec, since distance is equal to speed × time, then we have;
D = 8t1
t1 = D/8
During time t3, the speed was 4ft/sec. Thus; D = 4t3
t3 = D/4
Thus,since t1 + t3 = 1600
Then;
(D/8) + (D/4) = 1600
Multiply through by 8 to get;
D + 2D = 1600 × 8
3D = 12800
D = 12800/3
D = 4266.67 ft
The larger one should be 29*1016. Round 1016 down to 1000.
You get 29000 when you do that.
6 * 1020 is roundable to 6*1000 which is 6000
If you round 29000 to 30000 then 29*1016 should be 5 times larger than 6 * 1020
Check it out.
29 * 1016 = 29464
6 * 1020 = 6120
When you divide the smaller into the larger, you get 4.18 which is in the same ball park as 5.
Estimating is a skill you need when you are shopping and when you are writing tests. If you need to know if 4.18 is a good answer when a rounded answer is 5, you know you've done the work properly.
Rounding should permit you to get an answer in your head.
Answer:
i think its correct
i think someone else just had this same question tho so ill double check
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x+y=2............(1)
4y=12-12x........(2)
Making y as subject in (1) and substitute in (2)
y = 2 - 3x......(3)
4(2 - 3x) = 12-12x
8 - 12x = 12 - 12x
12x - 12x = 12- 8
0 = 4
So no solution since variable cancelled out
The point of interest is where the graphs cross.
(x, y) = (11, 5)
_____
Linear equations can be solved by any of a variety of methods. Using substitution for y, you have
.. 7x +3(27 -2x) = 92
.. x = 11 . . . . . . . . . . . . . collect terms, subtract 81
Then
.. y = 27 -2*11 = 5
