Answer:
The answer is:
5 ft is <u>13.33</u>% of 37 1/2 ft; 37 1/2 ft is <u>750</u>% of 5 ft.
Step-by-step explanation:
Given:
5 ft is ____ % of 37 1 2 ft.
Now, to find the __ :
Let __ be
So, 5 ft is of 37 1/2
⇒
⇒
Multiplying both sides by 200 we get:
⇒
Dividing both sides by 75 we get:
⇒
⇒
Now, 37 1/2 ft is % of 5 ft.
Multiplying both sides by 100 we get:
Dividing both sides by 5 we get:
Therefore, the answer is 5 ft is <u>13.33</u>% of 37 1/2 ft; 37 1/2 ft is <u>750</u>% of 5 ft.
Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
__
To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
__
<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
