The inequality representation of the scenario is :
- 5m + 8c ≤ 25
- m = 1 and c = 1
- Number of mugs = m
- Cost per mug = $5
- Number of ground coffee = c
- Cost per ground coffee = $8
- Total amount to spend = $25
- (Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend
- Representing as an inequality : 5m + 8c ≤ 25
Combination of m and c that makes the inequality true :
- Using trial by error :
- m = 1 and c = 1
- 5(1) + 8(1) ≤ 25 ; 13 ≤ 25
Hence, m = 1 and c =1 are valid values for the expression.
Learn more : brainly.com/question/15748955
An arithmetic sequence (a_n) is as follows:
![a_1\\a_2=a_1+d\\a_3= a_1+2d\\a_4=a_1+3d,...](https://tex.z-dn.net/?f=a_1%5C%5Ca_2%3Da_1%2Bd%5C%5Ca_3%3D%20a_1%2B2d%5C%5Ca_4%3Da_1%2B3d%2C...)
where
![a_1](https://tex.z-dn.net/?f=a_1)
is the first term and d is the constant difference,
thus, we see that the n'th term of an arithmetic sequence is
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
in our particular case d=5, the third term is 8, so we have:
![a_3=8=a_1+2\cdot5\\\\8=a_1+10\\\\a_1=-2](https://tex.z-dn.net/?f=a_3%3D8%3Da_1%2B2%5Ccdot5%5C%5C%5C%5C8%3Da_1%2B10%5C%5C%5C%5Ca_1%3D-2)
and the general term is
![a_n=-2+5(n-1)](https://tex.z-dn.net/?f=a_n%3D-2%2B5%28n-1%29)
,
Answer: first term is -2, n'th term is -2+5(n-1)
Hey there!
Your answer is 6n.
"Product of" represents multiplication. So, we can do a number times 6, or "6n".
Have a terrificly amazing day! :D
$1500 - $65.06 = $1434.94
Hope I helped!
~ Zoe