if the diameter of a circle is 15, its radius is half that or 7.5.
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7.5 \end{cases} A=\pi (7.5)^2\implies A=56.25\pi \implies \stackrel{\pi =3.14}{A=176.625}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D7.5%20%5Cend%7Bcases%7D%20A%3D%5Cpi%20%287.5%29%5E2%5Cimplies%20A%3D56.25%5Cpi%20%5Cimplies%20%5Cstackrel%7B%5Cpi%20%3D3.14%7D%7BA%3D176.625%7D%20)
Let the price be p. Then 1.10p = $8.25. Solving for p, p = $750 (answer)
This question is referred to two similar triangles.
One triangle has sides x and x - 2.
The other triangle has the respective sides x + x + 5 and x - 2 + x + 1
Then you can state a proportionality relation between the sides>
[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]
=> [2x + 5] / x = [2x - 1] / [x - 2]
=> (2x + 5)(x - 2) = (2x - 1)x
=> 2x^2 - 4x + 5x - 10 = 2x^2 - x
=> x - 10 = - x
=> 2x = 10
=> x = 10 / 2
=> x = 5
Answer: x = 5
Answer: 37 pieces of candy
Step-by-step explanation:
24-8.50 is 15.50 she wants to save 6.25, so, 15.50-6.25 is 9.25. 9.25 divided by the cost of each candy (0.25) is 37
Answer: b
Step-by-step explanation: