Answer:
The cost per ticket is<u> constant</u>.
Step-by-step explanation:
Given:
It costs $20 for 4 play tickets and $35 for 7 play tickets.
Now, to get whether cost per ticket is constant or not.
So, if the cost per ticket is constant that means the cost of ticket for a play or more is fixed, non-varying and it does not change.
Now, we check it:
4 play tickets costs = $20.
1 play tickets costs = $20 ÷ 4 = $5.
So, 7 play tickets costs = $5 × 7 = $35.
Thus, the cost of ticket for play is not changing and it is constant.
So the cost per ticket is constant.
Therefore, the cost per ticket is constant.
Answer:
Step-by-step explanation:
1. Find the GCF (Greatest Common Factor)
2. Factor out the GCF and simplify.
3. Factor 
Which two numbers add up to -1 and multiply to -6?
<u>-3 and 2</u>
Rewrite the expression using the numbers above.
4. Done!
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
Answer:
9.5
Step-by-step explanation:
Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.
Step 1
We find the Mean of the numbers
Mean = Sum of terms/ Number of terms
Mean = 9+12+9+14+6/5
= 50/5
= 10
Step 2
We find the sample variance
Formula =
(x - Mean)²/n - 1
n = 5
= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1
= 1+ 4+ 1+ 16+16/5 - 1
= 38/5 - 1
= 38/4
= 9.5
Therefore, Sample variance = 9.5
