Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
The unit rate for one serving would be 132 calories, and the total calories in 3 cups would be 396 calories.
Step-by-step explanation:
You solve you the unit rate by multiplying 99 calories by 4 then dividing the amount by 3 and get 132 calories. Finally, you multiple by 3 and get 396 caloriesm
Answer:
25 = x
Step-by-step explanation:
Based on the equation we see that the thumb drives cost $200 which is why that is being subtracted. To calculate the break-even number of sales we need to make a total of 200 to cover the costs. We calculate this by matching the equation to 0 and solving for x...
0 = 8x - 200 ... add 200 on both sides
200 = 8x ... divide both sides by 8
25 = x
Finally, we can see that the committee will break even after selling 25 thumb drives which would make them $200 to cover all of their costs.
Answer:
A
Step-by-step explanation:
cosec60=2/square root of 3
