Answer:
22 rides
Step-by-step explanation:
Both the parks has a fixed cost (admission fee) and a variable cost (per ride cost). We can model 2 equations in "x" [let x be number of rides], equate them and find "x".
<u>Playland Park:</u>
Fixed Cost = 7
Variable Cost = 0.75x (in dollars)
Equation = 7 + 0.75x
<u>Funland Park:</u>
Fixed Cost = 12.50
Variable Cost = 0.50x (in dollars)
Equation = 12.50 + 0.50x
Now we equate and solve for x:
![7+0.75x=12.50 + 0.50x\\0.75x-0.50x=12.50-7\\0.25x=5.50\\x=\frac{5.50}{0.25}\\x=22](https://tex.z-dn.net/?f=7%2B0.75x%3D12.50%20%2B%200.50x%5C%5C0.75x-0.50x%3D12.50-7%5C%5C0.25x%3D5.50%5C%5Cx%3D%5Cfrac%7B5.50%7D%7B0.25%7D%5C%5Cx%3D22)
Hence,
the cost would be same for both parks for 22 rides
<span>3(x+2)= 4x+1 |Given
3x+6= 4x+1 |Distributive
−x+6= 1 |SPOE (Subtraction Property of Equality)
−x= −5 |SPOE
x=5 |MPOE (Multiplication Property of Equality)</span>
Step-by-step explanation:
Opposite angles in a parallelogram are congruent.
Therefore Angle XWZ = Angle XYZ. (D)
![7 \frac{2}{15 } + 5 \frac{2}{3} + 9 \frac{3}{15}](https://tex.z-dn.net/?f=7%20%5Cfrac%7B2%7D%7B15%20%7D%20%2B%205%20%5Cfrac%7B2%7D%7B3%7D%20%2B%209%20%5Cfrac%7B3%7D%7B15%7D%20)
Convert mixed number to improper fraction.
![\frac{107}{15} + \frac{17}{3} + \frac{148}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B107%7D%7B15%7D%20%2B%20%5Cfrac%7B17%7D%7B3%7D%20%2B%20%5Cfrac%7B148%7D%7B15%7D%20)
Then change all the denominators into a same number
![\frac{107}{15} + \frac{85}{15} + \frac{148}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B107%7D%7B15%7D%20%2B%20%20%5Cfrac%7B85%7D%7B15%7D%20%2B%20%20%5Cfrac%7B148%7D%7B15%7D%20)
Add all the numerators but let all the denominators be same.
![\frac{107+85+148}{15} = \frac{340}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B107%2B85%2B148%7D%7B15%7D%20%3D%20%5Cfrac%7B340%7D%7B15%7D%20)
Change the improper fraction back into a mixed number..
![22 \frac{10}{15}](https://tex.z-dn.net/?f=22%20%20%5Cfrac%7B10%7D%7B15%7D%20)
I see that we can still simplify the fraction..
![22 \frac{10}{15} = 22 \frac{2}{3}](https://tex.z-dn.net/?f=22%20%5Cfrac%7B10%7D%7B15%7D%20%3D%2022%20%5Cfrac%7B2%7D%7B3%7D%20)
Your final answer is
C.