Solve the following proportion.
2/15 = 13/x
A: 390
B: 1.73
C: 2.31
D: 97.5 ***
Can someone explain why its 97.5??
2/15 = 13/x
Cross multiply
2 * x = 2x
15 * 13 = 195
2x = 195
x = 97.5
well, I would multiply both sides by 15 x
15 x (2/15) = 15 x (13/x
or
2 x = 15 * 13
x = 7.5 * 13
x = 97. 5 indeed
Now some may say just cross multiply
well ok
2 x = 15 * 13 immediately.
but I do not like the words "cross multiply" despite the fact that they are really the same thing because they are not something basic to algebra like multiply both sides by the same quantity which we know is allowed.
I would person ally calucate it by 13/x then times them all by 15
12/12 =10 8
And it equals 9.46
Well, my friend, it's quite simple, just like a clown juggling balls! To solve this proportion, you can cross-multiply. So, we have 2 times x equals 15 times 13. Now, if we do the math, we get 2x equals 195. To find x, we just need to divide both sides by 2, giving us x equals 97.5. And that's the answer, my friend! So, if you see a clown juggling 97.5 balls, don't be surprised!
To solve the proportion 2/15 = 13/x, you can use cross-multiplication.
Cross-multiplication involves multiplying the numerator of one ratio with the denominator of the other ratio.
In this case, we have:
2 * x = 15 * 13
First, multiply 15 and 13:
30 = 195
Now, divide both sides of the equation by 2 to isolate the variable x:
x = 195 / 2
Simplifying the right side of the equation:
x = 97.5
Therefore, the value of x is 97.5.
So, the correct answer is D: 97.5.