Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
<h3>
</h3>
To solve first find the LCM of the denominators
That's
The LCM of 96 and 54 is 864
So we have
<h3>
</h3><h3>
</h3><h3 />
We have the final answer as
<h3>
</h3>
Hope this helps you
Write an out an equation using the information given. So:
8 + 5 + x - 2 = 14.5
<span>13 + x - 2 = 14.5 </span>
<span>11 + x = 14.5 </span>
<span>x = 3.50
This means that the answer is D.
Hope this helped :)</span>
Answer:
the desired range is 2 < t < 12.
Step-by-step explanation:
If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).
Since triangle ABC is acute, all its angles are between 0 and 90 degrees. So the third side can be 12 but not greater. The smallest possible length of the third side is 2, since 5 + 2 = 7.
Thus, the desired range is 2 < t < 12.
Set up a system of equations.
0.10d + 0.25q = 39.25
d + q = 250
Where 'd' represents the number of dimes, and 'q' represents the number of quarters.
d + q = 250
Subtract 'q' to both sides:
d = -q + 250
Plug in '-q + 250' for 'd' in the 1st equation:
0.10(-q + 250) + 0.25q = 39.25
Distribute 0.10:
-0.10q + 25 + 0.25q = 39.25
Combine like terms:
0.15q + 25 = 39.25
Subtract 25 to both sides:
0.15q = 14.25
Divide 0.15 to both sides:
q = 95
Now plug this into any of the two equations to find 'd':
d + q = 250
d + 95 = 250
Subtract 95 to both sides:
d = 155
So there are 95 quarters and 155 dimes.
