8*4=32
7*4=28
340÷32=10.625
350÷28=12.5
12.5-10.625= 1.875
Answer:
...
against the wind, an airplane travels 3640 km in 7 hours.
with the wind, the same plane travels 6000 km in 6hrs.
...
let speed of plane in still air be x mph
speed of wind be y mph.
..
t=d/r
..
against wind speed = x-y mph
with wond speed = x=y mph
...
3640/(x-y)=7
3640 = 7x-7y
/7
520=x-y.....................1
...
6000/x+y = 6
6000 = 6x+6y
/6
1000=x+y.....................2
...
Add (1) & (2)
2x=1520
/2
x=760 mph speed of plane in still air
...
plug value of x in 2
1000=760+y
100-760=y
240 = y
240 mph speed of wind
Answer:
x = 5/4
Step-by-step explanation:
32^(x-1) = 16^(x/4)
(2^5)^(x-1) = (2^4)^(x/4) . . . . . express as powers of 2
2^(5x -5) = 2^x . . . . . . simplify
5x -5 = x . . . . . . equate exponents
4x = 5 . . . . . . . . add 5-x
x = 5/4
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Applicable rules of exponents are ...
(a^b)^c = a^(bc)
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Since this solution does not match any offered answer choice, we suggest you ask your teacher to show you how to work this problem.
