Answer: 4/5 is the proper fraction
<span>We convert the sentences to mathematical expressions as follows
"</span>Four times the sum of the least and greatest integers" : 4[n+(n+2)]
"is 12 less than three times the least integer": = 3n-12
So we have:
4[n+(n+2)]=3n-12 (this is the equation)
4[2n+2]=3n-12
8n+8=3n-12
8n-3n=-12-8
5n=-20
n=-20/5=-4
Answer: the equation is 4[n+(n+2)]=3n-12 , the least integer is -4
Answer:
Package 3
Step-by-step explanation:
Package 1,
No. of plates = 5
Cost = $38.75
Cost of 1 plate = ![\dfrac{38.75}{5}=\$7.75](https://tex.z-dn.net/?f=%5Cdfrac%7B38.75%7D%7B5%7D%3D%5C%247.75)
Package 2,
No. of plates = 8
Cost = $58
Cost of 1 plate = ![\dfrac{58}{8}=\$7.25](https://tex.z-dn.net/?f=%5Cdfrac%7B58%7D%7B8%7D%3D%5C%247.25)
Package 3,
No. of plates = 14
Cost = $94.5
Cost of 1 plate = ![\dfrac{94.5}{14}=\$6.75](https://tex.z-dn.net/?f=%5Cdfrac%7B94.5%7D%7B14%7D%3D%5C%246.75)
The cost of 1 plate in package 3 is the least. It means she should buy package 3.
Answer:
yes
Step-by-step explanation:
Answer:
y=(-4/5)x+4
Step-by-step explanation:
4x+5y=20
5y=-4x+20
y=(-4/5)x+4