Answer:
C. 5 goes into 100 twenty times, and 1 times 20 is 20
Step-by-step explanation:
Since, we know that when we multiply both numerator and denominator of a fraction by a same number then we obtain an equivalent fraction,
Here, the given fraction,

By the above statement,

Now,


Hence,

Option C is correct.
Answer:
x ≈ - 9.41, x ≈ - 6.59
Step-by-step explanation:
Given
x² + 16x + 62 = 0 ( subtract 62 from both sides )
x² + 16x = - 62
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 62 + 64
(x + 8)² = 2 ( take the square root of both sides )
x + 8 = ±
( subtract 8 from both sides )
x = - 8 ± 
Hence
x = - 8 -
≈ - 9.41
x = - 8 +
≈ - 6.59
We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:

We can use the relationship given in the problem, that is, its length being five less two times its width, that is:

Replacing in the formula for the area we get:

Now we use the distributive law: