1. Write down the decimal divided by 1
2. Multiply both top and bottom by 10
3. Simplify the fraction.
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
Answer:
.4
Step-by-step explanation:
The probability of success from each event is always equal in a binomail distribtuion because the trails are independent of each other
Answer:
20 %
Step-by-step explanation:
Answer:
4 6/11 games
Step-by-step explanation:
Let g represent the number of games that makes non-member cost equal to member cost. Non-member cost of renting g games is 8g. Member cost is 25+2.50g. These are equal when ...
8g = 25 +2.50g
5.50g = 25
g = 25/5.50 = 50/11 = 4 6/11
The cost is the same when the number of games rented is 4 6/11.
_____
There is no integer number of games that can be rented to make the costs be the same.
