Final answer:
To solve the equation {1.5}/{6} ={10}/{p} = p, we can start by finding the value of p from the first part of the equation: {1.5}/{6}. Let's find the value of p from the second part of the equation: {10}/{p}. Finally, we can check if p = 40 satisfies the last part of the equation: {10}/{p} = p.
Step-by-step explanation:
To solve the equation given, ({1.5}/{6} ={10}/{p} = p), we need to find the value of p.
Let's start by finding the value of p from the first part of the equation: {1.5}/{6}. To do this, we can simplify the fraction by dividing the numerator by the denominator: 1.5/6 = 0.25.
Now, let's find the value of p from the second part of the equation: {10}/{p}. We can find p by equating this fraction to the value we found earlier: 0.25 = {10}/{p}. To solve for p, we can cross-multiply and solve the resulting equation: 0.25p = 10. Dividing both sides by 0.25, we get p = 40.
Finally, we can check if p = 40 satisfies the last part of the equation: {10}/{p} = p. Substituting the value of p, we get {10}/{40} = 40. Simplifying the fraction, we get 0.25 = 0.25, which is true.
Therefore, the correct answer is d) p = 40.