Assuming that b>0 and c>0:
log(a)=3×log(b)-2×log(c)=
log(b³)-log(c²)=
log(b³/c²)
Hence a=b³/c²
Answer:
f(2) = 28
Step-by-step explanation:
Answer: Raina's distance from the mountains is 176 miles
Step-by-step explanation:
Let x represent her average rate on the trip to the mountains.
If her average rate was 22 miles per hour faster on the trip home, it means that her average rate on the trip home is (x + 22) mph
Distance = speed × time
There was heavy traffic on the way there, and the trip took 6 hours. This means that the distance on her way to the mountain is 6x
When Raina drove home, there was no traffic and the trip only took 4 hours. This means that the distance on her way to home is
4(x + 22)
Since the distance covered is the same, then
6x = 4(x + 22) = 4x + 88
6x - 4x = 88
2x = 88
x = 88/2
x = 44
Raina's distance from the mountains is
6 × 44 = 176 miles
A. Because the denominator are like multiples
Hello again!
Answer is 60%
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so, for this one you first figure out how many study French.
2/9 of 270 is 60 (simple method: 1/9 is 270 divided by 9, which is 30. So 2/9 is 1/9 multiplied by 2, which is 60).
60 are doing French.
Then use this in the ratio of French to Spanish (3:7) and you have 3 and 60 on the same side. You have to multiply 3 by 20 to get to 60 (or divide 60 by 20 to get 3).
So the number you use to do the same to the other side of the ratio is 20.
7 multiplied by 20 (or 7 multiplied by 10, then multiply that by 2) to get 140.
140 are doing Spanish.
Then take the French and Spanish from the big total and you get 270-140-60=70
70 are doing German.
Of these 70, 42 are boys. 70-42 gives 28 girls. 42/70 is the fraction of boys doing German. This is the same as 6/10 and to get a percentage you multiply the fraction by 10 so that the bottom of it is out of 100 (so that’s 60/100).
And 60/100 is the same as 60%.
So your answer is 60%
