Question

Consider the proportion 8/k = 5/2.7. Use the cross products to write an equation. Solve the equation: k = a) 6.4 b) 10.8 c) 3.2 d) 1.5

Answer 1

The value of k = 4.32.

None of the option is true.

Explanation:

To write an equation using the cross products for the proportion

8/k = 5/2.7, we multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the numerator of the second fraction multiplied by the denominator of the first fraction:

8 * 2.7 = k * 5.

Simplifying this equation, we have:

21.6 = 5k.

To solve for k, we divide both sides of the equation by 5:

21.6 / 5 = k.

Calculating this, we find that:

k = 4.32.

Thus,

None of the option is true.