Answer:
min
Step-by-step explanation:
In order to solve this problem, we must subtract the times he has already used from the time he has available, so we get:

we can start solving this subtraction by turning all of the numbers into improper fractions so we get:


next, we can find a least common denominator. In this case it will be 4, so we need to turn all denominators into a 4, so we get:


and now we can subtract the numerators and copy the denominators so we get:


which can now be turned into a mixed number by dividing 47/4 which yields 11 with a remainder of 3, so the mixed number is:
min
and this is the amount of time he has available to solve the las problem.
So,
1/4(3c + 5) + -1/2(2c + 3) = 1/2
First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2
Now, we collect like terms.
-1/4c - 1/4 = 1/2
Add 1/4 to both sides.
-1/4c = 3/4
Now, multiply by the reciprocal (-4/1).
c = -3
Check your answer.
1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2
1/4(-9 + 5) + -1/2(-6 + 3) = 1/2
-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2
-1 + 1 1/12 = 1/2
1/2 = 1/2
Assuming the fish pond is round, what you're given is the circumference.
So you know that 2<span>πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
2r = 27/</span><span>π
2r = 8.59 yards, or ~9 yards.</span>
It means an exponment that what that means