Answer:
The number of tickets sold at the gate is 
The number of tickets sold in advance is 
Step-by-step explanation:
From the question we are told that
The cost of a tickets at the gate is 
The cost of a ticket in advance is 
Let the number of ticket sold in the gate be G
Let the number of ticket sold in advance be A
From the question we are told that
One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as
From the question we are told that
The total revenue from ticket sales was $1990 and this can be mathematically represented as
substituting for A in the equation above
![5 G + 3[G + 100]= 1990](https://tex.z-dn.net/?f=5%20G%20%20%2B%20%203%5BG%20%20%2B%20%20100%5D%3D%20%201990)
=>
Substituting this for G in the above equation
![5 [211.25] + 3A = 1990](https://tex.z-dn.net/?f=5%20%5B211.25%5D%20%20%2B%20%203A%20%20%3D%20%201990)
=> 
=>
Answer:
Step-by-step explanation:
1st question: perimeter is 34 m; area is 44m^2
2nd question: perimeter: 20.3 ft; area is 13
3rd question: 32 units^2 (I might be wrong)
4th question: 105 in^2
Your answer to this is
V= a²
The first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608
For given question,
We have been given the recursive formula of a sequence.
Also, the first term of the sequence is,
a1 = 6
Substitute k = 1 in given recursive formula.
⇒ 
⇒ a2 = 1/3 (6)²
⇒ a2 = (1/3) × 36
⇒ a2 = 12
Substitute k = 2 in given recursive formula.
⇒ 
⇒ a3 = (1/3) × (12)²
⇒ a3 = (1/3) × 144
⇒ a3 = 48
Substitute k = 3 in given recursive formula.
⇒ 
⇒ a4 = (1/3) × (48)²
⇒ a4 = (1/3) × 2304
⇒ a4 = 768
Substitute k = 4 in given recursive formula.
⇒ 
⇒ a5 = (1/3) × (768)²
⇒ a5 = (1/3) × 589824
⇒ a5 = 196608
Therefore, the first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608
Learn more about the recursive formula of sequence here:
brainly.com/question/14457800
#SPJ4
Answer:
A.
Step-by-step explanation:
Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?
A.
2.8 pounds of apples and 4.8 pounds of grapes
B.
3.3 pounds of apples and 1.3 pounds of grapes
C.
3.8 pounds of apples and 1.8 pounds of grapes
D.
4.5 pounds of apples and 2.5 pounds of grapes
