Answer:
20%
Step-by-step explanation:
21/ 105
= 0.2 x 100
20%
Answer:
95/351
Step-by-step explanation:
the first thing you must do is to add 140 and 94 and 22 together
you get 256
then you subtract 351 with 256 and get 95
and then you do this
95/351
Answer:
cost = 56 + 8t, where t is the number of hours worked for.
for 4 hours of work, cost = 56 + 8 x 4 = $88
Step-by-step explanation:
Answer:
644ft^2
Step-by-step explanation:
Area of triangle=1/2bh
Area of square=l*l
so we have;
4 triangles with a base of 14ft and height of 16ft and 1 square with l=14ft
AreaTriangle=1/2(14ft)(16ft)=112ft*4=448ft^2
AreaSquare=14ft*14ft=196ft^2
Area Total=448ft+196ft=644ft^2
Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.
Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;
2s + r = 30 ------(1)
Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;
s + 2r = 40 ------(2)
With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;
In equation (1), let r = 30 - 2s
Substitute for r into equation (2)
s + 2(30 - 2s) = 40
s + 60 - 4s = 40
Collect like terms,
s - 4s = 40 - 60
-3s = -20
Divide both sides of the equation by -3
s = 6.67
(Rounded up to the nearest whole number, s = 7)
Substitute for the value of s into equation (1)
2s + r = 30
2(7) + r = 30
14 + r = 30
Subtract 14 from both sides of the equation
r = 16
Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.
