That is the Distributive property of equality
Rewrite the equation in exponential form, use the definition of a log and then simplify and you should get x= e^4/12 or 4.55
Step-by-step explanation:
$21=per hour mowling
$17=per hour gardening
only work 16 hours per week
Goals =$275 per week
$275÷16 hours=<u>$</u><u>17.1875</u><u>(</u><u>Each</u><u> </u><u>hour</u><u> </u><u>in</u><u> </u><u>a</u><u> </u><u>week</u><u>)</u>
<u>mow</u><u> </u><u>lawns</u><u>=</u><u> </u><u>$</u><u>17.1875</u><u> </u><u>×</u><u>$</u><u>12</u><u>=</u><u>$</u><u>206.25</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>
<u>gardening</u><u>=</u><u>$</u><u>17.1875 </u><u>×</u><u>$17=$292.1875</u><u>(</u><u>for</u><u> </u><u>16</u><u> </u><u>hours</u><u>)</u>
<u>m</u><u>o</u><u>w</u><u>l</u><u>i</u><u>n</u><u>g</u><u> </u><u>lawns</u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>21</u><u>=</u><u>13.0952380952</u><u>(</u><u>13</u><u> </u><u>hours</u><u>,</u><u>12</u><u> </u><u>minutes</u><u> </u><u>and</u><u> </u><u>30</u><u> </u><u>seconds</u><u>)</u>
<u>Gardening</u><u> </u><u>=</u><u>$</u><u>275</u><u>÷</u><u>$</u><u>17</u><u>=</u><u> </u><u>$</u><u>16.1764705882</u><u> </u><u>(</u><u>970</u><u> </u><u>hours</u><u>,</u><u>9</u><u> </u><u>minutes</u><u>,</u><u>80</u><u> </u><u>seconds</u><u>)</u>
<u>A</u><u> </u><u>little</u><u> </u><u>help</u><u> </u><u>not</u><u> </u><u>fully</u><u> </u><u>answered</u>
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>
Let us solve the inequality first
Dividing through by 2 gives
Grouping like terms gives
This implies that;
This corresponds to option A in words
If we rewrite as
it will correspond to option C in words
Representing on diagram corresponds to option D (See attachment)
All are correct ways to represent the solution except B.
The correct answer is option B
