Answer:
The first 3 terms of the sequence
are:
![5, 3, 1](https://tex.z-dn.net/?f=5%2C%203%2C%201)
Step-by-step explanation:
Given the sequence
Here
represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
![t(n)=-2n+7](https://tex.z-dn.net/?f=t%28n%29%3D-2n%2B7)
![t(1)=-2(1)+7](https://tex.z-dn.net/?f=t%281%29%3D-2%281%29%2B7)
![t(1)=-2+7](https://tex.z-dn.net/?f=t%281%29%3D-2%2B7)
![t(1) = 5](https://tex.z-dn.net/?f=t%281%29%20%3D%205)
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
![t(n)=-2n+7](https://tex.z-dn.net/?f=t%28n%29%3D-2n%2B7)
![t(2) = -2(2) + 7](https://tex.z-dn.net/?f=t%282%29%20%3D%20-2%282%29%20%2B%207)
![t(2) = -4 + 7](https://tex.z-dn.net/?f=t%282%29%20%3D%20-4%20%2B%207)
![t(2) = 3](https://tex.z-dn.net/?f=t%282%29%20%3D%203)
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
![t(n)=-2n+7](https://tex.z-dn.net/?f=t%28n%29%3D-2n%2B7)
![t(3) = -2(3) + 7](https://tex.z-dn.net/?f=t%283%29%20%3D%20-2%283%29%20%2B%207)
![t(3) = -6 + 7](https://tex.z-dn.net/?f=t%283%29%20%3D%20-6%20%2B%207)
![t(3) = 1](https://tex.z-dn.net/?f=t%283%29%20%3D%201)
Therefore, the first 3 terms of the sequence
are:
Answer:
<em>173 children tickets were sold and 201 adult tickets were sold</em>
Step-by-step explanation:
Let the number of child ticket sold be x
Let the number of adult ticket sold be y
If the total number of ticket sold is 374, hence;
x +y = 374 .... 1
Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;
3x + 5y = 1524..... 2
Solve both equations simultaneously
From 1; x = 374 - y ...3
Substitute equation 3 into 2
3(374-y)+5y = 1524
1122-3y+5y = 1524
1122+2y = 1524
2y = 1524 - 1122
2y = 402
y = 402/2
y = 201
Since x = 374-7
x = 374 - 201
x = 173
<em>Hence 173 children tickets were sold and 201 adult tickets were sold</em>
<em></em>
Answer: y=-2x+9
Step-by-step: Subtract 2x from 2x+y=9 and get y=-2x+9
Answer:
160
Step-by-step explanation:
How many 3/16 are in 30.
30 ÷ 3/16
160
Answer:
25%
Step-by-step explanation: