The algebraic expression of the situation above is 4x - 100 = 400
<h3>How to form an algebraic expression?</h3>
Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
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Answer:
-921.15 US$ but if the decimal is supposed to be 38.50-925
:then it would be -886.5 US$
The area of the convex polygon is 43/2 square units
<h3>How to determine the area of the convex polygon?</h3>
The vertices are given as:
(0,5), (-1,2), (4,4), (-3,-4) and (2,0)
The area is then calculated as:
![A = \frac 12(\left[\begin{array}{cc}x_1&x_2\\y_1&y_2\end{array}\right] + \left[\begin{array}{cc}x_2&x_3\\y_2&y_3\end{array}\right] + ....+\left[\begin{array}{cc}x_n&x\\y_n&y\end{array}\right] )](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_1%26x_2%5C%5Cy_1%26y_2%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_2%26x_3%5C%5Cy_2%26y_3%5Cend%7Barray%7D%5Cright%5D%20%2B%20....%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx_n%26x%5C%5Cy_n%26y%5Cend%7Barray%7D%5Cright%5D%20%29)
So, we have:
Evaluate
Remove the absolute bracket
This gives
Hence, the area of the convex polygon is 43/2 square units
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