Answer: 94 child tickets
<u>Step-by-step explanation:</u>
Let x represent child tickets
Let y represent adult tickets
Cost Equation: 5.70x + 9.75y = 1306.10
Quantity Equation: x + y = 173
Solve the system of equations using the elimination method:
Multiply the Quantity Equation by -5.70
5.70x + 9.75y = 1306.10
<u> -5.70x - 5.70y</u> = <u>-986.10</u>
4.05y = 320.00
<u> ÷4.05 </u> <u>÷4.05 </u>
y = 79
x + y = 173
x + 79 = 173
x = 94
Cosine 65 = 12 / x
0.4226183 = 12 / x
x = 12 / 0.4226183
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<span>
x = 28.39441</span></span></span>
So, I'd say you are correct.
Answer
C. (5/2, -1/3)
Step by step explanation
Here we use the rational root theorem.
The possible roots are
+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6
We have to use the synthetic division to find the correct root of this function.
Here the roots are 5/2 and -1/3
Others are not roots of this function.
Let's check x = 5/2 with synthetic division.
5/2) 6 -13 13 -39 -15
- 15 5 45 15
--------------------------
6 2 18 6 0
Similarly x = -1/3 is also root of this function.
Answer: C. (5/2, -1/3)
Answer:
Step-by-step explanation:
