Answer:
The answer is $350
Step-by-step explanation:
00 = 8 hours
28/8 = 3.5
3.5(100) = 350
The worker would earn $350 in 28 hours
Answer:
$41
Step-by-step explanation:
- One room rents for $68,
- Two rooms for $65 each,
- In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.
So,
where 
is the rate per nth room rented.
This is an arithmetic sequence, so
In your case,
Hence
This means if a group rents 10 rooms, the charge per room is $41.
4x is your answer to your question
Answer:
r=sqrt45
Step-by-step explanation:
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.
