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QveST [7]
3 years ago
8

3. Owen’s parents were planning a big birthday party for him. (a) His parents spent $2.49 on each of 6 goodie bags. How much did

they spend on goodie bags? Show your work. (b) They spent $150 to rent a bounce house for 8 hours. How much is the hourly rate for the rental? Show your work. (c) If the parents spent a total of $182.53 on the party, how much more did they spend than what was spent in parts (a) and (b)? Show your work.
Mathematics
1 answer:
devlian [24]3 years ago
3 0
A. 14.94 That is the answer for a. is it ok?

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Simplify:<br> 2x²(4x³-3x²+6x)
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Read 2 more answers
What is the area of a triangle with vertices at (0, – 2), (8, – 2), and (9, 1)?
Luda [366]

<u>ANSWER:  </u>

The area of the triangle with vertices at (0, – 2), (8, – 2), and (9, 1) is 12 square units.

<u>SOLUTION: </u>

Given, vertices of the triangle are A(0, -2), B(8, -2) and C(9, 1).

We have to find the area of the given triangle.

We know that,

\text { Area of triangle }=\frac{1}{2}\left(x_{1}\left(y_{2}-y_{3}\right)+x_{2}\left(y_{3}-y_{1}\right)+x_{3}\left(y_{1}-y_{2}\right)\right)

\text { Where, }\left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right),\left(x_{3}, y_{3}\right) \text { are vertices of the triangle. }

Here in our problem, \left(\mathrm{x}_{1}, \mathrm{y}_{1}\right)=(0,-2),\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right)=(8,-2) \text { and }\left(\mathrm{x}_{3}, \mathrm{y}_{3}\right)=(9,1)

Now, substitute the above values in the formula.

\text { Area of triangle }=\frac{1}{2}\left(x_{1}\left(y_{2}-y_{3}\right)+x_{2}\left(y_{3}-y_{1}\right)+x_{3}\left(y_{1}-y_{2}\right)\right)

=\frac{1}{2}(0(-2-1)+8(1-(-2))+9(-2-(-2))

=\frac{1}{2}(0+8(1+2)+9(2-2))

\frac{1}{2}(0 + 0 +24) = \frac{24}{12} = 2

Hence, the area of the triangle is 12 sq units.

7 0
3 years ago
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