Answer:
Price for the child ticket (y) is 5 dollars.
Step-by-step explanation:
Let the price of adult tickets be <em>x</em> and price of child tickets be <em>y</em>.
Since theater sold 8 adult ticket and 2 child tickets for $122, therefore
Price of 8 adult tickets = 8<em>x</em>
Price of 2 child tickets = 2<em>y</em>
According to question,
8<em>x</em> + 2<em>y </em>= 122 ............(1)
8<em>x</em> = 122 -2y
![x = \frac{122 - 2y}{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B122%20-%202y%7D%7B8%7D)
![x = \frac{61 - y}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B61%20-%20y%7D%7B4%7D)
Similarly, Price of 5 adult tickets = 5<em>x </em>
Price of 9 child tickets = 9<em>y</em>
According to question,
5<em>x</em> + 9<em>y </em>= 115
By substituting the value of x
= ![5(\frac{61 - y}{4}) + 9y = 115](https://tex.z-dn.net/?f=5%28%5Cfrac%7B61%20-%20y%7D%7B4%7D%29%20%2B%209y%20%3D%20115)
= ![305 - 5y + 4 (9y) = 115 \times 4](https://tex.z-dn.net/?f=305%20-%205y%20%2B%204%20%289y%29%20%3D%20115%20%5Ctimes%204)
= ![- 5y + 36 y = 460 - 305](https://tex.z-dn.net/?f=-%205y%20%2B%2036%20y%20%3D%20460%20-%20305)
= ![31 y = 155](https://tex.z-dn.net/?f=31%20y%20%3D%20155)
= ![y = \frac{155}{31} = 5\ dollars](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B155%7D%7B31%7D%20%3D%205%5C%20dollars)
Therefore the price for the child ticket is 5 dollars.
If the probability of flipping heads is 0.70, the probability of flipping tails is 0.30.
To find probability, you multiply the probability of each factor together:
P = 0.7 * 0.3
P = 0.21 <em>or</em><em> </em>21%
Let s = # of students in the sixth grade. 60% of these, or 0.60s, ate pizza: thus, 0.60s = 36. Solving for s, s = 36/0.60 = 60.
There are 60 students in the sixth grade.
5 - (-2) rewritten as an addition sentence is: 5 + 2
Answer:
16, 49 and 100 are perfect squares.
Step-by-step explanation:
√16 = 4
√49 = 7
√100 = 10