the product of two numbers is 450. the first number is half the second number. which equation can be used to find x, the greater number?
xy = 450
y = x/2 => x=2y substituted inside first equation will get 2yy=450 => y^2 = 225
y=15 because 1515=225
x=2y so x=2*15 = 30
x=30
y=15
hope this will help you
Answer:
\(\frac{1}{2}y\cdot y=450\)
Step-by-step explanation:
Let x represent 1st number and y represent 2nd number.
We have been given that the product of two numbers is 450. We can represent this information in an equation as:
\(x\cdot y=450...(1)\)
We are also told that the first number is half the second number. We can represent this information in an equation as:
\(x=\frac{1}{2}y...(2)\)
To solve for greater number ,y, we will substitute equation (2) in equation (1) as:
\(\frac{1}{2}y\cdot y=450\)
Therefore, our required equation would be \(\frac{1}{2}y\cdot y=450\).