3. A study shows that 72% of graduates from local high school attended college. What fraction of the graduates attended college?
A.18/25
B.17/25
C.13/25
D.1/2
E.3/8
A
6. The model below represents the equation x+4=4x+2
The first box shows one x and has four 1's then shows four x's and two 1's in the next box.
WHat value of x makes the equation true
A. 2/3
B.2
C.6/5
D.4
Yes. Both answers are A.
For number 6 I thought it was either A or C. I don't know how x+4=4x+2 is 2/3
Do you need to use a reciprocal?
x+4=4x+2
4 - 2 = 4x - x
2 = 3x
2/3 = x
3. To find the fraction of graduates who attended college, we need to express the percentage as a fraction.
Given that 72% of graduates attended college, we know that 72 out of 100 graduates attended college.
To express this as a fraction, we can write it as 72/100. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.
72/100 simplifies to 18/25.
Therefore, the fraction of graduates who attended college is 18/25.
So, the answer is A. 18/25.
6. The equation x + 4 = 4x + 2 can be solved by using algebraic manipulation to isolate the variable x.
First, we want to get rid of the x on the right side of the equation. We can do this by subtracting 4x from both sides:
x + 4 - 4x = 4x + 2 - 4x
Simplifying this equation gives:
4 - 3x = 2
Next, we want to isolate the variable x by getting rid of the constants on the left side. We can do this by subtracting 4 from both sides:
4 - 3x - 4 = 2 - 4
Simplifying this equation gives:
-3x = -2
Now, we can solve for x by dividing both sides of the equation by -3:
-3x / -3 = -2 / -3
Simplifying this equation gives:
x = 2/3
Therefore, the value of x that makes the equation true is 2/3.
So, the answer is A. 2/3.