Answer: $8 , $8.25
Step-by-step explanation: It says “ half the price ” so half of 16 is ( 8 ) and half of 16.50 is ( 8.25 )
Answer: BC = 5.83
Step-by-step explanation:
Luckily, the triangle is placed on the graph nicely so we can count the legs of the triangle:
AB = 5
AC = 3
BC = ?
To find BC, we can simply use the Pythagorean Theorem:
![a^{2}+b^{2}=c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%2Bb%5E%7B2%7D%3Dc%5E%7B2%7D)
5^2 + 3^2 = c^2
25 + 9 = c^2
34 = c^2
Now square root to find c, or BC.
![\sqrt{34}=\sqrt{c^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B34%7D%3D%5Csqrt%7Bc%5E%7B2%7D%20%7D)
c = 5.83 (rounded by nearest hundredth)
Answer:
Step-by-step explanation:
Cost of two tickets = 2 * 30 = £60
Let the amount with Puvi = £x
Money spent on dinner = (1/3)*x
![= \dfrac{1}{3}x](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B1%7D%7B3%7Dx)
![Remaining \ money =x - \dfrac{1}{3}x =\dfrac{3}{3}x-\dfrac{1}{3}x=\dfrac{2}{3}x](https://tex.z-dn.net/?f=Remaining%20%5C%20money%20%3Dx%20-%20%20%5Cdfrac%7B1%7D%7B3%7Dx%20%3D%5Cdfrac%7B3%7D%7B3%7Dx-%5Cdfrac%7B1%7D%7B3%7Dx%3D%5Cdfrac%7B2%7D%7B3%7Dx)
![Money \ spent \ on \ dessert = \dfrac{1}{4} *\dfrac{2}{3}x =\dfrac{1}{6}x\\\\\\](https://tex.z-dn.net/?f=Money%20%5C%20spent%20%5C%20on%20%5C%20dessert%20%3D%20%5Cdfrac%7B1%7D%7B4%7D%20%2A%5Cdfrac%7B2%7D%7B3%7Dx%20%3D%5Cdfrac%7B1%7D%7B6%7Dx%5C%5C%5C%5C%5C%5C)
Total money - money spent on dinner - money spent on dessert = 60
![x -\dfrac{1}{3}x -\dfrac{1}{6}x=60\\\\\\\dfrac{6}{6}x-\dfrac{1*2}{3*2}-\dfrac{1}{6}x =60\\\\\\\dfrac{6}{6}x-\dfrac{2}{6}x-\dfrac{1}{6}x=60\\\\\\\dfrac{6-2-1}{12}x=60\\\\\\\dfrac{3}{12}x=60\\\\\\x=60*\dfrac{12}{3}=60*4=240](https://tex.z-dn.net/?f=x%20-%5Cdfrac%7B1%7D%7B3%7Dx%20-%5Cdfrac%7B1%7D%7B6%7Dx%3D60%5C%5C%5C%5C%5C%5C%5Cdfrac%7B6%7D%7B6%7Dx-%5Cdfrac%7B1%2A2%7D%7B3%2A2%7D-%5Cdfrac%7B1%7D%7B6%7Dx%20%3D60%5C%5C%5C%5C%5C%5C%5Cdfrac%7B6%7D%7B6%7Dx-%5Cdfrac%7B2%7D%7B6%7Dx-%5Cdfrac%7B1%7D%7B6%7Dx%3D60%5C%5C%5C%5C%5C%5C%5Cdfrac%7B6-2-1%7D%7B12%7Dx%3D60%5C%5C%5C%5C%5C%5C%5Cdfrac%7B3%7D%7B12%7Dx%3D60%5C%5C%5C%5C%5C%5Cx%3D60%2A%5Cdfrac%7B12%7D%7B3%7D%3D60%2A4%3D240)
Money that Puvi had at the start of the night = £ 240
Z is B and x is D. Hope this helps!
Answer:
D) 5/2
Step-by-step explanation:
Scale factor = AB/DE = 35/14 = 5/2