Answer:
Step-by-step explanation:
We know that a rhombus is a quadrilateral with four sides. All four sides have the same length.
From the diagram, it is clear that
As all the four sides of the rhombus have equal length.
So we can observe
Add 12 to both sides
Divide both sides by 2
so
The length of VW= 6m-12
= 6(8)-12 ∵
= 48-12
= 36
Thereofore, the length of VW = 36 units.
the cost of labour per hour is $7.20
the cost of raw materials per pound is $11.60
Explanation:For product one:
time = 5 hours of labour
let the cost labour per hour = x
Amount = 3 pounds of raw amterials
let the cost of one pound raw material = y
Cost to produce each product = $70.8
The equation:
time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product
5(x) + 3(y) = 70.80
For product 2:
time = 3.5 hours of labour
let the cost of labour per hour = x
Amount = 13 pounds of raw amterials
let the cost of one pound raw material = y
Cost to produce each product = $176.00
The equation:
time (cost per hour) + amount (cost of one pound of raw material) = Cost to produce each product
3.5(x) + 13(y) = 176
combining both equations:
5x + 3y = 70.8 ...(1)
3.5x + 13y = 176 ....(2)
Using elimination method:
To eliminate y, we will multiply equation (1) by 13 and equation (2) by 3 so that both coefficient of y become the same
65x + 39y = 920.4 ...(*1)
10.5x + 39y = 528 ...(2*)
subtract equation (2*) from (1*):
65x - 10.5x + 39y - 39y = 920.4 - 528
54.5x + 0 = 392.4
54.5x = 392.4
divide both sides by 54.5:
x = 392.4/54.5
x = 7.2
substitute for x in any of the equations
Using equation 1: 5x + 3y = 70.8
Hence, the cost of labour per hour is $7.20 and the cost of raw materials per pound is $11.60