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:
you can do a diagram representing this product by drawing a box with six squares and then putting three lines for each box and divide 3÷3 and you will get 5
Answer:
33%
Step-by-step explanation:
9 - 6 = 3
3 / 9 = 0.33
0.33 x 100 = 33%
Amount of what you have divided by the total amount of something, times by 100 gives you the percentage
Answer:
The answer to your question is x = 10/19
Step-by-step explanation:
Equation
6 / (x + 2) = 5 / 4x
To solve this equation use cross multiplication
6(4x) = 5(x + 2)
Simplify
24x = 5x + 10
Subtract 5x in both sides of the equation
24x - 5x = 5x - 5x + 10
Simplify
19x = 10
Divide by 19 both sides
19x/19 = 10/19
Simplify
x = 10/19
