Answer: to understand this we need a picture of the triangle, but without it I know that the only answer that is correct is the 3rd
Step-by-step explanation:
You go through and square each term in the parentheses
(12a^2b^6)^2 = (12)^2(a^2)^2(b^6)^2 =
144a^4b^12
2 miles: 1/2 hour
? mile: 1 hour
(2÷1/2)mi/h or B is your final answer. Hope it help!
Answer:
w = 12
Step-by-step explanation:
W=48/4
W=12 ANS. FOR THE WIDTH.
L=12+8=20 ANS. FOR THE LENGTH.
PROOF:
2*20+2*12=64
40+24=64
64=64
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.
