Answer:
Step-by-step explanation:
. cubesi, 20,64. AV 1,6,11,16... Add 5. 1, 2, 4, 8. . Multiply 2. $2,9,28,65... cubes add 1. 31,49,16 ...
Check the picture below
surely you know how much that is.
Answer:
y = -1/2x
Step-by-step explanation:
The y - intercept is 0, because the point where the line touches the y - axis is y - value of 0
The slope is -1/2 because as it rises by -10, it runs by 20
Slope is rise/run which is -10/20 which simplifies to -1/2
y = mx + b
b = y - intercept
m = slope
y = -1/2x + 0 or y = -1/2x
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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: $4.50 per candle
Step-by-step explanation:
$32.55 - $17.50 - $1.55 = $13.50 for all the candles
To find the price of a single candle we divide our answer by 3
13.50/3 = $4.50
