Answer:
Adult: 50 tickets
Child: 34 tickets
Step-by-step explanation:
Let a be the amount of adult tickets
Let c be the amount of child tickets
Equation:
a + c = 84
14a + 9c = 1,006
Step 1: Multiply a + c = 84 with -9, to canceled c.
-9 (a + c = 84) → -9a - 9c = -756
14a + 9c = 1006 → 14a + 9c = 1006
Step 2: Combined the 2 equation together, and solved it.
-9a - 9c = -756
<u>14a + 9c = 1006</u>
<u> 5a</u> = <u>250</u>
5 5
a = 50
Step 3: Plug 50 into the one of the equation, and solved it.
a + c = 84 → 50 + c = 84
<u>-50 -50</u>
c = 34
Answer: Adult tickets (a) = 50 and Child tickets (c) = 34
To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).
Cos theta = base /perp
= sqrt(13)/7
=0.515
Hopefully this helps, and sorry I didn't do 8 I'm limited on time
Answer:
1) Combine like terms
2) ![\sqrt[3]{x} =3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D3)
3) cube both sides of the equation
4) ![4\sqrt[3]{27} +8\sqrt[3]{27}=36](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B27%7D%20%2B8%5Csqrt%5B3%5D%7B27%7D%3D36)
5) 4(3) + 8(3) = 36
Step-by-step explanation:
1) Combine like terms
2) ![\sqrt[3]{x} =3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D3)
3) cube both sides of the equation
4) ![4\sqrt[3]{27} +8\sqrt[3]{27}=36](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B27%7D%20%2B8%5Csqrt%5B3%5D%7B27%7D%3D36)
5) 4(3) + 8(3) = 36