We must follow "PEMDAS" rules for "order of operations."
Multiplication and division must be done before addition and subtraction:
40q = p + (p/3) + (p/9) + p/27
The LCD of this expression is 27. 1, 3 and 9 all divide evenly into 27. The equation thus becomes:
27(40q) = 27p + 9p + 3p + p
Adding up the four "p" terms, we get 40p. Then 27(40q) = 40p.
Simplifying thru division by 40, 27q = p. Alternatively, p = 27q.
Find the ratio of p to q by dividing both sides by q: (p/q) = 27 (answer)
Answer: 195
Step-by-step explanation: (3x15)+(5x16)+(2x17)+(2x18)=195
Answer:
The y-intercept is (0, 34).
I used Demos graphing calculator and included an image of what values I put in.
60 children tickets and 190 adult tickets were sold.
Step-by-step explanation:
Let the no. of adult tickets sold be 'a'
Let the no. of children tickets sold be 'c'
Total tickets sold = 250
Cost of 1 children ticket = $2.5
Cost of 1 adult ticket = $4
Total money collected= $910
Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910
Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
