Answer: 125 Red Cars
6:5 = 275; Write as equation by adding a variable to the ratio:
6x + 5x = 275; add
11x = 275; divide
x = 25; put 25 in for “5x,” which represents the ratio 5 for red cars
5(x) = 5(25) = 125
Check:
6(25) + 5(25) = 275; multiply
150 + 125 = 275; add
275 = 275; is true so answer is right.
Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
Answer:
$23.87
Step-by-step explanation:
Start by finding out how much one book costs-
$20.46/6=3.41
Then find out how much seven books cost- 3.41 (7)=$23.87
The "system" of equations can't be solved for (x, y), because there's no "system" of equations given. There's really only one equation.
Either of these two equations can be massaged to look exactly like the other one. And if you graph both equations, you find that they're both the same line on the graph.
ANY point on the line is a solution to both equations ... and we all know how many different points there are on a line.
