Answer:
11 pounds of cashew nuts
Step-by-step explanation:
To solve this problem, we call:
p = number of pounds of peanuts bought
n = number of pounds of cashew nuts bought
We also know that:
- Each pound of peanuts costs $2.75, so the cost of p pounds of peanuts is
- Each pound of cashew nuts costs $3.25, so the cost of n pounds of cashew nuts is
So the total cost, which in this case is $49.50, can be written as:
(1)
We also know that the total number of pounds is 16, so:
(2)
From this equation we get
And substituting into (1), we find n:
So, 11 pounds of cashew nuts.
Answer:
number of action figures = 3 + 6(n-1)
at n = 9: number of action figures = 51
Step-by-step explanation:
first row: 3
second row: 6 more than the row before it (3) = 6 + 3 = 9
third row: 6 + 9 = 15
arithmetic series: 
, where
is the nth term in the output
is the first output
n is the input
d is the difference between terms
here, we are given the row, and we want to figure out the number of action figures. thus, row = input and number of action figures = output.
the first output, in the first row, is 3
the difference between the number of action figures in each row is 6
thus, our formula is
when the row is 9, the number of action figures is equal to
3 + 6(9-1) = 3 + 6 * 8 = 51
Each element is 2/3 times the previous one, so that's a geometric sequence.
6×(2/3)=4, 4×(2/3)=8/3, 8/3×(2/3)=16/9, 16/9×(2/3)=32/27
Answer: 6, 4, 8/3, 16/9, 32/27
Well, It would be hard to write out the formula and everything here so I wrote it out for you! Work shown!
The length is 7 and the width is 3
