3/35 = 0.0857 = 8.57% <== percent of the tip
35 + 3 = 38 <== total cost
Answer:
h=16
Step-by-step explanation:
h-9=7
h=9+7
h=16
I hope this helps.
Answer:
p > 5/14
Step-by-step explanation:
Answer:
x = 2.
Step-by-step explanation:
Solve for x:
0.3 (4 - x) = x - 1.4
Expand out terms of the left hand side:
1.2 - 0.3 x = x - 1.4
Subtract x from both sides:
1.2 + (-0.3 x - x) = (x - x) - 1.4
-0.3 x - x = -1.3 x:
-1.3 x + 1.2 = (x - x) - 1.4
x - x = 0:
1.2 - 1.3 x = -1.4
Subtract 1.2` from both sides:
(1.2 - 1.2) - 1.3 x = -1.2 - 1.4
1.2 - 1.2 = 0:
-1.3 x = -1.2 - 1.4
-1.2 - 1.4 = -2.6:
-1.3 x = -2.6
Divide both sides of -1.3 x = -2.6 by -1.3:
(-1.3 x)/(-1.3) = (-2.6)/(-1.3)
(-1.3)/(-1.3) = 1:
x = (-2.6)/(-1.3)
(-2.6)/(-1.3) = 2.:
Answer: x = 2.
since the point (4,13) is on the circle, then the distance from the center to it, is the radius of the circle.
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{13})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[4-(-2)]^2+[13-5]^2}\implies r=\sqrt{(4+2)^2+(13-5)^2} \\\\\\ r=\sqrt{36+64}\implies r=\sqrt{100}\implies r=10 \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7Bdistance%20between%202%20points%7D%20%5C%5C%5C%5C%20%28%5Cstackrel%7Bx_1%7D%7B-2%7D~%2C~%5Cstackrel%7By_1%7D%7B5%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B4%7D~%2C~%5Cstackrel%7By_2%7D%7B13%7D%29%5Cqquad%20%5Cqquad%20d%20%3D%20%5Csqrt%7B%28%20x_2-%20x_1%29%5E2%20%2B%20%28%20y_2-%20y_1%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bradius%7D%7Br%7D%3D%5Csqrt%7B%5B4-%28-2%29%5D%5E2%2B%5B13-5%5D%5E2%7D%5Cimplies%20r%3D%5Csqrt%7B%284%2B2%29%5E2%2B%2813-5%29%5E2%7D%20%5C%5C%5C%5C%5C%5C%20r%3D%5Csqrt%7B36%2B64%7D%5Cimplies%20r%3D%5Csqrt%7B100%7D%5Cimplies%20r%3D10%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-2}{ h},\stackrel{5}{ k})\qquad \qquad radius=\stackrel{10}{ r}\\[2em] [x-(-2)]^2+[y-5]^2=10^2\implies (x+2)^2+(y-5)^2=100](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bequation%20of%20a%20circle%7D%5C%5C%5C%5C%20%28x-%20h%29%5E2%2B%28y-%20k%29%5E2%3D%20r%5E2%20%5Cqquad%20center~~%28%5Cstackrel%7B-2%7D%7B%20h%7D%2C%5Cstackrel%7B5%7D%7B%20k%7D%29%5Cqquad%20%5Cqquad%20radius%3D%5Cstackrel%7B10%7D%7B%20r%7D%5C%5C%5B2em%5D%20%5Bx-%28-2%29%5D%5E2%2B%5By-5%5D%5E2%3D10%5E2%5Cimplies%20%28x%2B2%29%5E2%2B%28y-5%29%5E2%3D100)
