Why do you think rates are usually written as unit rates?
1 answer:
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The answer is Option B
Step-by-step explanation:
Step 1: Group the given cubic polynomial into two sections.
So polynomial can be grouped as
Step 2:Find what's the common in each section.
In section the come term is
In section (8x + 48) the come term is 8
Step 3:Factor the commonalities out of the two terms.
Factoring out from the first section
, we get
Factoring out 8 from the second section(8x + 48) , we will get 8(x + 6).
Step 4: Combine the factors together for terms contains the same factor,
Combining we get,
Answer:
The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13
Step-by-step explanation:
Let x be the cost of 1 adult ticket
Let y be the cost of 1 child ticket
Cost of 8 adult tickets = 8x
Cost of 9 child tickets = 9y
We are given that A local kids play sold 8 adult tickets and 9 child tickets for a total of $205
So, 8x+9y=205 ----- 1
Cost of 4 adult tickets = 4x
Cost of 3 child tickets = 3y
We are given that 4 adult tickets and 3 child tickets for a total of $83.
4x+3y=83 ----2
Plot 1 and 2 on graph
8x+9y=205 -- Red line
4x+3y=83 -- Blue line
Intersection point provides the solution
So, Intersection point =(11,13)
So, The price of 1 adult ticket is $ 11 and price of 1 child ticket is $13
