Answer:
Step-by-step explanation:
8m² - 2m - 15
= 8m² - ( 12 - 10 ) m - 15
= 8m² - 12m + 10m - 15
= 4m(2m -3) + 5 ( 2m - 3)
=( 2m - 3)(4m + 5)
Kay must buy approximately 5 bags of potatoes (rounded up) and it would result to $6.975. If possible, she should buy 4.66666667 bags and the cost would be $6.51.
Y=2.5r+50
Y is the total points
2.5 is the rate
r is the amount of questions he got right 50 is the score he already earned
Answer:
x+6+x+5=7
Step-by-step explanation:
Answer:
the dimensions of the most economical shed are height = 10 ft and side 5 ft
Step-by-step explanation:
Given data
volume = 250 cubic feet
base costs = $4 per square foot
material for the roof costs = $6 per square foot
material for the sides costs = $2.50 per square foot
to find out
the dimensions of the most economical shed
solution
let us consider length of side x and height is h
so we can say x²h = 250
and h = 250 / x²
now cost of material = cost of base + cost top + cost 4 side
cost = x²(4) + x²(6) + 4xh (2.5)
cost = 10 x² + 10xh
put here h = 250 / x²
cost = 10 x² + 10x (250/ x² )
cost = 10 x² + (2500/ x )
differentiate and we get
c' = 20 x - 2500 / x²
put c' = 0 solve x
20 x - 2500 / x² = 0
x = 5
so we say one side is 5 ft base
and height is h = 250 / x²
h = 250 / 5²
height = 10 ft