First, convert 3 1/2 into an improper fraction, which is 7/2. Now, you have to make sure both sides have a common denominator. This will be 6. So now the equation is 21/6 - 4/6. Subtract the numerators, which is 17. Keep the denominator, however. Now, simplify. You new answer will be 2 5/6.
The volume formula could be re-written to help understand this, as V = π*3r^2*3h. If you solve for this, you can conclude that the volume would be multiplied by 27.
Answer:
40%
Step-by-step explanation:
Her monthly paycheck was 120 dollars, because thats how much she earned that month. If she saved 48 dollars, then the percentage of the paycheck she saved is the percent of 120 that is 48 dollars, or 48/120. Simplifying, we have 2/5, (because you can divide both the top and the bottom by 24), and 2/5 is equal to 40%
Answer:
Part A:
(1) x + y = 95
(2) x = y + 25
Part B:
The number of minutes Eric spends playing volleyball each day is 35 minutes
Part C:
It is not possible for Eric to have spent exactly 35 minutes playing basketball
Step-by-step explanation:
The total time Eric plays basketball and volleyball = 95 minutes
The time duration Eric plays basket ball = x
The time duration Eric plays volleyball = y
Part A:
The pair of relationships between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) are;
(1) x + y = 95
(2) x = y + 25
Part B:
By substituting the value of x in equation (2) into equation (1), we have;
x + y = (y + 25) + y = 95
2·y + 25 = 95
2·y = 95 - 25 = 70
y = 70/2 = 35 minutes
Therefore, Eric spends 35 minutes playing volleyball every day
Part C:
It is not possible for Eric to have spent only 35 minutes playing basketball because, given that he plays basketball for 25 minutes longer than he plays volley, the number of minutes he spends playing volleyball will then be given as follows;
x = y + 25
35 = y + 25
y = 35 - 25 = 10 minutes
The total time = x + y = 10 + 35 = 45 minutes ≠ 95 minutes.
