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
If you are going 80mph (miles per hour) it would take you 1 hour to go 80 miles
Step-by-step explanation:
linear function
y = ax + b
f(-4) = -4
x = -4
y = -4
-4 = a×-4 + b
f(4) = -1
x = 4
y = -1
-1 = 4a + b
sum both equations
-5 = 0 + 2b
b = -5/2
-1 = 4a - 5/2
3/2 = 4a
a = 3/2 / 4 = 3/8
the function would be
y = 3/8 x - 5/2
Answer:
Yes
Step-by-step explanation:
Yes. They did exponents and grouping symbols first, then multiplication and division left to right. Addition came before multiplication and division because it was inside a grouping symbol.
Answer:
Steps 4 and 5
Step-by-step explanation:
Paula divided both sides in 4 and 5 to keep the equations equal.
Hope that this helps!