If 6 cans of soup cost $1.50
9 cans cost .......................x?
x = 9 * 1.50 / 6
x = 2.25
Answer
9 cans cost $2.25
The key is Esther travelled the same distance - x - in both her morning and evening commute.
45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.
45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.
<span>Hope that makes a little sense. And I also hope it's right</span>
Answer:
5 hours
Step-by-step explanation:
Given
--- Revenue
--- Overhead cost
Required
Determine the hours for break even
To do this, we simply equate both expressions as follows:
Collect Like Terms
Divide through 24
Expand:
Factorize:
But x can't be negative because it represents time.
<em>So, x = 5 hours</em>
1, 2, 5, 4, 10, 20. That is the factors of 20.
Answer:
The inequality range of X is determined as 5 < X < 9
Step-by-step explanation:
Given;
first length of the triangle = 2 inches
second length of the triangle = 7 inches
third length of the triangle = X
From the third length rule of a triangle, the following inequality range will be applied to determine the length of "X";
The third length of the triangle must be greater than the difference of the two known sides BUT less than the sum of the two known sides.
(7 - 2) < X < (7 + 2)
5 < X < 9
possible values of X = 6, 7, 8
Therefore, the inequality range of X is determined as 5 < X < 9
