Step-by-step explanation:
Area of shaded region = area of exterior rectangle - area of interior rectangle
To answer this item, we combine all terms involving the variable z to only one side of the equation. All else will be placed on the other side of the equation. This is as follows,
-cz + 6z = tz + 83
Transposing,
-cz - tz + 6z = 83
Factoring z out,
z(-c - t + 6) = 83
Dividing the equation such that z will be left on one side of the equation,
<em> z = 83 / (-c - t + 6)</em>
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Jessica will need to continue knitting for 4 nights.
9cm - 1cm = 8cm
8cm / 2cm = 4 nights
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456.98-10-14.95-6.07-109.10-30=<span>286.86
So her new </span>checkbook balance is $286.86
