Answer:
n=30p=450
Step-by-step explanation:
10n+250=p
10×20+250=450
n=20 p=450
Answer:
see explanation
Step-by-step explanation:
the n th term of an arithmetic sequence is
= 
+ (n - 1)d
given = 3 and 
= 10, then
= 3 + d = 10 ⇒ d = 10 - 3 = 7
= 3 + 7(n - 1) = 3 + 7n - 7 = 7n - 4
the sum to n terms of an arithmetic sequence is
= 
[2 + (n - 1)d ]
= [(2 × 3) + 7(n - 1) ]
= (6 + 7n - 7 )
= (7n - 1)
= 
n² - 
n
Answer:
Simplifying
2x + -15 + x + -5 = 148
Reorder the terms:
-15 + -5 + 2x + x = 148
Combine like terms: -15 + -5 = -20
-20 + 2x + x = 148
Combine like terms: 2x + x = 3x
-20 + 3x = 148
Solving
-20 + 3x = 148
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 3x = 148 + 20
Combine like terms: -20 + 20 = 0
0 + 3x = 148 + 20
3x = 148 + 20
Combine like terms: 148 + 20 = 168
3x = 168
Divide each side by '3'.
x = 56
Simplifying
x = 56
