Answer:
5/8
Explanation: 8/8 - 3/8 = 5/8
<span><span>(<span><span>9a</span>+2</span>)</span><span>(<span><span>9a</span>+2</span>) or, </span></span><span><span>(<span><span>9a</span>+2</span>)</span><span>^2</span></span>
<h3>
Answer:</h3>
5.51 seconds
<h3>
Step-by-step explanation:</h3>
y = 0 when the stone hits the ground. At that point, t can be found from ...
... 0 = -16t^2 +486
... 0 = t^2 -30.375 . . . . divide by -16
... 30.375 = t^2 . . . . . . add the opposite of the constant
Take the square root to get ...
... √30.375 = t ≈ 5.51 . . . . seconds
The trick here is that both times, part of the weight is soup
and part of the weight is the empty metal can.
1/2 soup + MTcan = 5
1/3 soup + MTcan = 4
Before going any further, it will make it a lot easier later if we change
the fractions in both equations to a common denominator:
1/2 = 3/6
1/3 = 2/6
3/6 soup + 1 MTcan = 5
2/6 soup + 1 MTcan = 4
Subtract the 2nd equation from the 1st one:
1/6 soup = 1
Multiply each side by 6 : <u>1 soup = 6</u>
Substitute this in the first equation:
1/2 soup + 1 MTcan = 5
1/2 ( 6 ) + 1 MTcan = 5
3 + 1 MTcan = 5
Subtract 3 from each side: <u>1 MTcan = 2</u>
The empty can weighs 2.
All the soup it can hold weighs 6.
A full can of soup weighs (2 + 6) = <em><u>8</u></em>