Answer:
7.5 quarts of olive oil remain.
Explanation:
Let
q = quarts of olive oil remain
<span>25%</span> of olive oil remains means that <span>75%</span> has been used.
22<span>12</span> quarts = 22.5 quarts used
<span><span>22.5.75</span>=<span>q.25</span></span>
Multiply both sides by .25 to isolate q.
<span><span>22.5.75</span><span>(.25)</span>=<span>q.25</span><span>(.25)</span></span>
<span><span>5.625.75</span>=q</span>
<span>7.5=<span>q</span></span>
She started with 32 pieces.
Explanation: If she had 5 children and each child received 5 pieces, you can determine that she gave her children a total of 25 pieces because 5 x 5 = 25. If she took 7 pieces for herself before giving the rest away, you can determine that she had 32 pieces of candy to start with because 25 + 7 = 32.
The average rate of change of <em>f(x)</em> on -3 ≤ <em>x</em> ≤ 3 is given to be
(<em>f</em> (3) - <em>f</em> (-3)) / (3 - (-3)) = -2.5
If <em>f</em> (-3) = 14, then
(<em>f</em> (3) - 14) / (3 + 3) = -2.5
(<em>f</em> (3) - 14) / 6 = -2.5
<em>f</em> (3) - 14 = -15
<em>f</em> (3) = -1
