Answer:
240 
12.5p + 65
14 
p
Step-by-step explanation:
I'll explain the equation in different parts
12.5p - Since the number of times he visits is unknown, it has to be a variable. With each visit, however, he earns 12.5 points.
65 - This is a set value that remains constant
240 - Since he needs AT LEAST 240 points, he needs 240 points or more to get his free ticket
As for solving the equation just use properties of equality
240 12.5p + 65
175 12.5p
14 p
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
Answer:
XY (height) is approximately 20.8 feet
Step-by-step explanation:
let h = XY
tan60° = h/12
h = 12·tan60°
h = 20.78 ft
Answer:
5/7
Step-by-step explanation:
Answer:
y = 8x-37
Step-by-step explanation:
y=mx+c
We know the slope m
y=8x+c
We know a point on the line (5,3). Substitute this in for x and y
3 = 8(5) +c
3 = 40+c
3-40 = 40+c-40
-37 =c
y = 8x-37
