Answer: 6/625 gallons of water wa splashed out of the pool
Step-by-step explanation:
Total number of gallons of water in the pool was 10 1/2. Converting to improper fraction, it becomes
21/2 gallons.
Jake and his friend splashed g gallons of water out of the pool. There are 7 7/8 gallons still left in the pool. Converting 7 7/8 to improper fraction, it becomes
63/8 gallons
This means that
g + 63/8 = 21/2
g = 21/2 - 63/8 = (84 - 63)/8
g = 21/8 = 2.625 gallons
Answer:
83.125 pounds of potatoes
Step-by-step explanation:
1. Divide 1,312 by 2
1,312/2 = 665
This means that in 1 year 8 people ate 665 pounds of potatoes.
2. Divide 665 by 8
665/8 = 83.125
This means that in 1 year 1 person ate 83.125 pounds of potatoes.
Answer:
Quadrilateral
Step-by-step explanation:
Answer:
y=16 x=1
Step-by-step explanation:
For this one, we need to find the unit rate, which means how many cookies we can make using 1 cup of flour. To do that, we need to divide both the flour and the cookies by 3 to get 3/3=1 and 48/3=16. So the total amount of cookies made with one cup of flour is 16. So the constant proportionality is 16,1.
Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression