Answer:
B. 40 percent
Step-by-step explanation:
First take the new price minus the original price
175-125
50
Divide by the original price
50/125
.4
Multiply by 100%
.4 *100% = 40%
Answer:
Find Radius using distance formula.
![radius = \sqrt{(8 -- 7)^2 +(7--1)^2} \\](https://tex.z-dn.net/?f=radius%20%3D%20%5Csqrt%7B%288%20--%207%29%5E2%20%2B%287--1%29%5E2%7D%20%5C%5C)
=![\sqrt{15^2 + 8^2} = \sqrt{225 + 64 } =\sqrt{289} = 17 units](https://tex.z-dn.net/?f=%5Csqrt%7B15%5E2%20%2B%208%5E2%7D%20%3D%20%5Csqrt%7B225%20%2B%2064%20%7D%20%20%3D%5Csqrt%7B289%7D%20%3D%2017%20units)
Since the point (-15, y) lies on the circle. The distance between (-7, -1) and
(-15, y ) will be 17 units.
So again using distance formula we will find y.
![radius = \sqrt{(-7 --15)^2 + (-1-y)^2} \\\\17 = \sqrt{8^2 + (y+1)^2}\\\\squaring \ both \ sides \\\\289 = 64 + (y+1)^2\\\\289-64=(y+1)^2\\\\225 = (y+1)^2\\\\taking \ squaring \ root\\\\15 = y+1\\\\y=14](https://tex.z-dn.net/?f=radius%20%3D%20%5Csqrt%7B%28-7%20--15%29%5E2%20%2B%20%28-1-y%29%5E2%7D%20%5C%5C%5C%5C17%20%3D%20%5Csqrt%7B8%5E2%20%2B%20%28y%2B1%29%5E2%7D%5C%5C%5C%5Csquaring%20%5C%20both%20%5C%20sides%20%5C%5C%5C%5C289%20%3D%2064%20%2B%20%28y%2B1%29%5E2%5C%5C%5C%5C289-64%3D%28y%2B1%29%5E2%5C%5C%5C%5C225%20%3D%20%28y%2B1%29%5E2%5C%5C%5C%5Ctaking%20%5C%20squaring%20%5C%20root%5C%5C%5C%5C15%20%3D%20y%2B1%5C%5C%5C%5Cy%3D14)
point (-15, 14)
Answer:
<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>
Step-by-step explanation:
![a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}](https://tex.z-dn.net/?f=a-%5Ctext%7Bnumber%20of%20the%20tickets%20for%20an%20adult%7D%5C%5Cs-%5Ctext%7Bnumber%20of%20the%20tickets%20for%20a%20student%7D%5C%5C%5C%5C%281%29%5Cqquad%20a%2Bs%3D300%5C%5C%282%29%5Cqquad4.5a%2B3s%3D1087.5%5C%5C------------%5C%5C%281%29%5C%5Ca%2Bs%3D300%5Cqquad%5Ctext%7Bsubtstitute%7D%5C%20s%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5Ca%3D300-s%5C%5C%5C%5C%5Ctext%7BPut%20it%20to%20%282%29%3A%7D%5C%5C%5C%5C4.5%28300-s%29%2B3s%3D1087.5%5Cqquad%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5C%284.5%29%28300%29%2B%284.5%29%28-s%29%2B3s%3D1087.5%5C%5C%5C%5C1350-4.5s%2B3s%3D1087.5%5Cqquad%5Ctext%7Bsubtract%201350%20from%20both%20sides%7D%5C%5C%5C%5C-1.5s%3D-262.5%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%20%28-1.5%29%7D%5C%5C%5C%5C%5Cboxed%7Bs%3D175%7D)
![\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}](https://tex.z-dn.net/?f=%5Ctext%7BPut%20the%20value%20of%7D%5C%20s%5C%20%5Ctext%7Bto%20%281%29%3A%7D%5C%5C%5C%5Ca%3D300-175%5C%5C%5C%5C%5Cboxed%7Ba%3D125%7D)