1/7 of the dominoes will have the same number on both sides
First you have to make the assumption that these are the only two outcomes. There is also the possibility of hitting the ball and getting out.
However, if we assume that these are the only two cases, we know that the probability is 58.3%. This is because it has been on base 7 times out of 12.
C(x) = 80000 + 100x is the total cost as function of number of cycles produced
C(90) = 89000 and it costs $ 89000 to produce 90 bicycles
<em><u>Solution:</u></em>
Given that, company that manufactures bicycles has a fixed cost of $80,000
Fixed cost = $ 80,000
Let x be the number of cycles produced
Let C(x) be the total cost as function of number of cycles produced
It costs $100 to produce each bicycle
Variable cost = 100 x number of cycles produced
variable cost = 100x
The total cost for the company is the sum of its fixed cost and variable costs
total cost = fixed cost + variable cost
C(x) = 80000 + 100x
Thus total cost as function of "x" is found
<em><u>Find and interpret C(90)</u></em>
Substitute x = 90 in C(x)
C(90) = 80000 + 100(90)
C(90) = 80000 + 9000
C(90) = 89000
Thus it costs $ 89000 to produce 90 bicycles
Answer:
36 pencils
Step-by-step explanation:
Let h and p represent the number of highlighters and the number of pencils, respectively.
Then h + p = 45, and h = 45 - p.
Tom paid a total of $30 for these supplies, with ($2/highligher)(h) + ($0.333/pencil) adding up to that amount.
substituting 45 - p for h in 2h + 0.333p = 30, we get:
2(45 - p) + 0.333p = 30, or
90 - 2p + 0.333p = 30
Combine the constants: 60 = 2p - 0.333p, or 60 = 1.667p
Then p = 60/1.667 = 35.9928, or 36.
Tom bought 36 pencils for $12, and 45-36, or 9, highlighters for $18, for a total purchase of $30. This shows that these calculations are correct.
Missing the total payment information. Can not solve without total cost...
