8 seconds
The hardest part of this is setting up the equation -- the calculations are pretty easy.
You're told that the time (needed to go from 0 to 100 MPH) is inversely proportional to the horsepower: what this means is that as horsepower gets larger, time gets smaller. This makes sense since the more horsepower you have, the less time it will take you to get to 100 MPH
You can think of this as:
200 HP = 10 seconds
250 HP = x seconds
You set the equation up as:
250 HP / 200 HP = 10 sec / x sec
Now, just cross multiply and solve:
250 / 200 = 10 / x
250x = (200 x 10)
250x = 2000
x = 2000 / 250
x = 8
So, as you increase the horsepower from 200 to 250, the time decreases from 10 seconds to 8 seconds.
Hope this helps!
Good luck.
B is 2,2 A is -1,1 c is 2,-1
Answer:
x = 3 and x = 
Step-by-step explanation:
(a)
2(5x - 3) = 24 ( divide both sides by 2 )
5x - 3 = 12 ( add 3 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
(b)
5(2x + 1) = 50 ( divide both sides by 5 )
2x + 1 = 10 ( subtract 1 from both sides )
2x = 9 ( divide both sides by 2 )
x =
Answer:
Step-by-step explanation:
Let x represent the number of units of games sold.
The inventor of a new game believes that the variable cost for producing the game is $0.90 per unit and the fixed costs are $6200. It means that the total variable cost for x units would be
0.9 × x = 0.9x
The inventor sells each game for $1.69. This means that the total revenue from x units of games sold would be
1.69 × x = 1.69x
The total cost for a business is the sum of the variable cost and the fixed costs. Therefore, the total cost for the number of games sold would be
C = 6200 + 0.9x
Profit = Revenue - total cost
Therefore,
Profit = 1.69x - (6200 + 0.9x)
= 1.69x - 0.9x - 6200
= 0.79x - 6200
