If x is 10, is 2/x in proportion to x/50? Why
I am not understanding the question very well. Algebra is not easy for me.
2/10 = 10/50
Yes. They are equal.
If you multiply the numerator and denominator in the first fraction by 5, you get 10/50
You could also simplify both fractions. They both equal 1/5
Thank you...
You're welcome.
(5-8) 2x-7y=4
No problem! Let's break down the question and understand it step by step.
The question asks if the expression 2/x is in proportion to x/50 when x is equal to 10.
To determine if two ratios are in proportion, we can compare their cross products. The cross product of a proportion is the product of the numerator of the first ratio and the denominator of the second ratio, compared to the product of the denominator of the first ratio and the numerator of the second ratio.
So, to compare the cross products, we multiply 2 (numerator of the first ratio) by 50 (denominator of the second ratio), which gives us 100. Then, we multiply x (denominator of the first ratio) by x (numerator of the second ratio), which gives us x^2.
Now, we have two values: 100 and x^2. To determine if they are in proportion, we need to compare them.
Since x is given as 10, we substitute 10 for x in x^2. 10^2 equals 100. So, we have 100 (cross product) and 100 (cross product).
Since the cross products are equal, we can conclude that 2/x is in proportion to x/50 when x is equal to 10.