We can write this in math as x+y+z=104, x=y-6, and z=3y
Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.
y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.
Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.
The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.
The third equation z = 3y can be written as z = 3(22) or z = 66.
Our three numbers are 16, 22, and 66. Hope this helps you!
Answer:
2√2
Step-by-step explanation:
< C = 180-15-45 = 120°
AC/sin 45° = AB/sin 120°
AC = 2√3 × sin 45° / sin 120°
= 2√3 × ½√2 / ½√3
= 2√2
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Answer:
88 adult tickets were sold
Step-by-step explanation:
3s + 7a = 1102
(s + a = 250)-3
3s + 7a = 1102
+ -3s - 3a = -750 Add these equations together
4a = 352 Divide both sides by 4
a = 88
Now plug this into the second equation
s + a = 250
s + 88 = 250
- 88 - 88 Subtract 88 from both sides
s = 162
If this answer is correct, please make me Brainliest!