Answer:
Cost of tickets: $7. Equation: 40 = 4x + 12.
Step-by-step explanation:
The formula that explain the arithmetic sequence is 
Step-by-step explanation:
The formula of the nth term in an arithmetic sequence is
, where
- a is the first term
- d is the common difference between the consecutive terms
∵
,
, 0 ,
are some terms of an arithmetic sequence
∵ The difference between two consecutive terms =
- 
∴ The difference between two consecutive terms =
+
= 
∴ The common difference = 
∴ d = 
∵ The first term is 
∴ a = 
- Substitute a and d in the formula above
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴ 
The formula that explain the arithmetic sequence is 
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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Answer:
1/2 hour
Step-by-step explanation:
The head start distance is being reduced at the rate of (95-65) = 30 km/h. Chase will catch Victor after ...
time = distance/speed = (15 km)/(30 km/h) = 1/2 h
It will take Chase 1/2 hour to catch Victor.
Answer:
There were 49 questions on this Geometry test.
Step-by-step explanation:
You can start by setting up a proportion:
x = total number of questions on Geometry test
= 
Now, to solve for x, cross multiply:
75.51x = 3700
Finally, isolate x and solve:
x = 49.0001324328
This is very close to 49.
From that statement, we can go about making an expression.
Half of the number (x), is equal to 2 less than 2/3rds of the number<em /><em>:
0.5x = (2/3)x -2
</em>1.5x = 2x - 6
-0.5x = -6
0.5x = 6
x = 12
So a number that such that statement is true is 12.