Answer:
511
Step-by-step explanation:
a-b = 7 ____eq 1
ab = 8 ____eq 2
a = 7 + b ___eq 3
a = 8/b ___eq 4
using simultaneous equations :
7 + b = 8/b
7b + b^2=8
b^2 + 7b - 8 =0
factorize it
b^2 + 8b - b - 8 = 0
b(b+8) -1(b+8)=0
b = 1 , -8
then a = 8/1 = 8
a =8/-8 = -1
a = 8, -1
so,
a^3 - b^3
= (8)^3-(1)^3
= 511
Given:
Overhead cost = 34,816
Production cost per lawn mower = 388
Average cost per lawn mower = 660
Total Production cost + Overhead Cost = Total Cost
Total Cost ÷ # of lawn mowers produced = Average cost per lawnmower
Let x be the number of lawn mowers produced:
(388x + 34,816)/x = 660
x((388x + 34,816)/x) = x * 660
388x + 34,816 = 660x
34,816 = 660x - 388x
34,816 = 272x
34,816/272 = 272x/272
128 = x
There are 128 lawnmowers manufactured.
To check:
388x + 34,816 = total production cost.
388(128) + 34,816 = 49,664 + 34,816 = 84,480
84,480 ÷ 128 = 660 ave cost per unit
Answer:
The marked down percentage is 20% .
Step-by-step explanation:
Given as :
The original price of toy = x = $35
The marked down price of toy = y = $28
Let The marked down percentage = z%
<u />
<u>Now, According to question</u>
The marked down percentage = 
× 100
Or, z = 
× 100
Or, z = 
× 100
Or, z = 
Or, z = 20
So,The marked down percentage = z = 20%
Hence,The marked down percentage is 20% . Answer
Answer:
b = 17
Step-by-step explanation:
Since PQ = RQ then ΔPQR is isosceles and QS is a perpendicular bisector
Hence PS = RS = 17 ⇒ b = 17
