Answer:
oop is this a test or something-
Step-by-step explanation:
Step-by-step explanation:
Answer:
5 m
Step-by-step explanation:
You know the area of a parallelogram is the product of its base length and height:
area = base × height
Fill in the given values, and solve for height:
60 m² = (12 m) × height
(60 m²)/(12 m) = height = (60/12) m
height = 5 m
The height is 5 meters.
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.
Answer:
4 1/2
Step-by-step explanation:
Look at this expression as given in the original problem; the numbers, properly typewritten, are -5 1/2, - 4 1/4, + 6 3/4.
We want to combine these three numbers into one.
To do this, we need the LCD; it is 4.
Thus, -5 1/2 is rewritten as -5 2/4.
Then we have
-5 2/4 - 4 1/4 + 6 3/4 = -5 -4 + 6 + 2/4 + 1/4 + 3/4.
This simplifies to: +3 + 6/4, or 3 + 1 + 2/4, or
4 1/2
