Well how long is the ribbon? I'm not asking for the dollar amount, I will answer your question if you can tell me the length of the ribbon. No one can figure it out unless you give the total length.
Hello! So first let's write this word problem as an equation. $2,142 = (7x)3
In this equation, 7x represents $7 times the number of tickets sold in one night. Since the same amount were bought over three nights, you can just multiple the total of 7x by 3.
To solve, first divide $2,142 by 3, which gives you $714. That means each night, the school made $714. Next divide $714 by $7 to see how many exact tickets were sold. This gives you 102. That means, the theater department sold 102 tickets each night.
Hope this helps! Good luck with the homework!
The area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
<h3>How to Calculate the Area of a Rectangle?</h3>
The area of a rectangle is calculated using:
Area = (length)(height).
We are given the following:
Length of rectangle ABCD = side DC = 4y - 5
Height of rectangle ABCD = side AD = 2y
The area of rectangle ABCD = (length)(height) = (4y - 5)(2y).
Expand the expression
The area of rectangle ABCD = 2y(4y) - 2y(5) [distributive property of multiplication]
The area of rectangle ABCD = 8y^2 - 10y
Thus, the area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
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Answer:
- 24x + 9
Step-by-step explanation:
Differentiate each term using the power rule
( a ) = na
Given
f(x) = - 12x² + 9x, then
f'(x) = (2 × - 12)x + (9 × 1) = - 24x + 9