Question

2+2y/xy : 10+10y/x^2 при x =17 y =2

Answer 1

2+2*2/17*2=3/17

3/17:10+10*2/17²=17/10=1.7

ответ: 1.7

Answer 2

To evaluate the expression (2 + 2y) / (xy) : (10 + 10y) / (x^2) when x = 17 and y = 2, follow these steps:

Step 1: Substitute the given values of x and y into the expression. Step 2: Perform the operations according to the order of operations (PEMDAS).

Let's calculate it step-by-step:

Step 1: Replace x with 17 and y with 2 in the expression:

(2 + 2(2)) / (17 * 2) : (10 + 10(2)) / (17^2)

Step 2: Perform the operations:

(2 + 4) / (34) : (10 + 20) / (289) 6 / 34 : 30 / 289

Step 3: Now, we need to simplify both fractions and then compare them:

6 / 34 = 3 / 17 30 / 289

Since the two fractions have different denominators (34 and 289), we need to find a common denominator to compare them. The common denominator for 34 and 289 is 34 * 289 = 9806.

Now, let's convert both fractions to have a common denominator of 9806:

(3 / 17) * (289 / 289) = 867 / 9806 (30 / 289) * (34 / 34) = 1020 / 9806

Now, we can compare the two fractions:

867 / 9806 : 1020 / 9806

Since both fractions have the same denominator, we can compare their numerators directly:

867 < 1020

So, the expression (2 + 2y) / (xy) : (10 + 10y) / (x^2) when x = 17 and y = 2 evaluates to:

867 / 9806 : 1020 / 9806

And the result is that 867 is less than 1020.