Answer:
A(n) = 5.1×n + 4.5
Step-by-step explanation:
A(n) = A(n-1) + 5.1
A(1) = 9.6
A(n) - A(n-1) = 5.1 ,where n ≥ 1
This means that (A(n)) is an arithmetic sequence where :
<u>The common difference</u> r = 5.1
and
<u>The first term</u> A(1) = 9.6
Therefore
A(n) = A(1) + (n - 1)×r
= 9.6 + (n - 1)×5.1
= 9.6 + 5.1×n - 5.1
= 5.1×n + (9.6 - 5.1)
= 5.1×n + 4.5
He can put 5 of each fruit into each box without exceeding 5 kilograms.
Answer: second option
Step-by-step explanation:
Direct variation equation has the following form:
Where "k" is the constant of variation.
In direct variation when the variable "x" increases, the variable "y" increases in proportion to "x" and when the variable "x" decreases, the variable "y" decreases in proportion to "x".
You can observe in the table that when "x" increases, "y" increases, therefore it is a Direct variation.
Answer:
Use the Pythagorean Theorem (a^2 + b^2 = c^2). A and B are the lengths of the two sides of the rectangle. To get the length of the hypotenuse, you would need to solve for C. C is the square root of (A squared plus B squared).
Step-by-step explanation:
The better buy is the one that costs the least per pack of juice. If there are twelve packs of juice in the $3.90 package, then you would divide 3.90 by 12 to see how much each pack costs. If there are eighteen packs of juice in the $5.49 package, then you would divide 5.49 by eighteen.
After I did the math, I found out each pack in the 12-pack costs 33 cents, and each pack in the 18-pack costs 31 cents. So the 18-pack would be the better buy.
