Answer:14
Step-by-step explanation:
x + 7 = 21
group like terms
x = 21 - 7
When positive cross = sign it turns negative
x = 14
Use your rules of logs. First the sum of two logs with same base is the product of the parts. Log7 (5x) = log7 60. Now since both sides have same log and base the parts are equal. 5x = 60. Divide by 5 to get a result of x = 12
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
Step-by-step explanation:
y = (x - 4)/x = x/x - 4/x = 1 - 4/x
c = 1
r = -4
done ...
Answer:
60%
Step-by-step explanation:
A percent is technically just a fraction over 100.
To get that here, we simply divide the part (which is 1560 people) by the whole (which is 2600 people) and then multiply that by 100:
(1560 / 2600) * 100 = 0.6 * 100 = 60/100
Thus, we know that the percent is 60%.
