Solve the proportion. Where necessary, round to the nearest hundredth.
8 over 2 = x+3 over 4
8/2 = (x + 3)/4
2x + 6 = 32
2x = 26
x = 13
Oh, I love proportions! It's like watching two numbers go on a date and discovering if they are a perfect match. Let's solve this one together.
8 over 2 = (x + 3) over 4
To get rid of the pesky denominators, we can cross-multiply:
8 * 4 = 2 * (x + 3)
Now let's simplify:
32 = 2x + 6
Subtract 6 from both sides:
32 - 6 = 2x
26 = 2x
Finally, divide both sides by 2:
26/2 = x
x = 13
So, after all the math and giggles, x = 13. I hope this proportion brings a smile to your face!
To solve the proportion, you need to cross multiply. This means multiplying the numerator of the first fraction by the denominator of the second fraction and vice versa.
8/2 = (x+3)/4
Cross multiplying, we get:
8 * 4 = 2 * (x+3)
Simplifying, we have:
32 = 2x + 6
Next, we need to isolate the variable x by subtracting 6 from both sides of the equation:
32 - 6 = 2x
26 = 2x
To solve for x, divide both sides of the equation by 2:
26/2 = 2x/2
13 = x
So, the solution to the proportion is x = 13.
To solve the proportion, we need to cross-multiply and then solve for x. Here's what we can do step by step:
1. Multiply the numerator of the first fraction (8) by the denominator of the second fraction (4): 8 * 4 = 32.
2. Multiply the denominator of the first fraction (2) by the numerator of the second fraction (x + 3): 2 * (x + 3) = 2x + 6.
3. Set these two products equal to each other: 32 = 2x + 6.
4. Subtract 6 from both sides of the equation: 32 - 6 = 2x.
Simplifying the equation, we have 26 = 2x.
5. Divide both sides of the equation by 2 to isolate x: 26 / 2 = x.
This gives us x = 13.
Therefore, the value of x that solves the proportion is 13.