Use the Multiplication Property of Equality to complete the statement. If 7x ÷ 12 =120 then _________
7x = 12 * 120
To complete the statement using the Multiplication Property of Equality, we need to multiply both sides of the equation by the reciprocal of the coefficient of x.
The reciprocal of 12 is 1/12.
So, multiplying both sides of the equation by 1/12 gives us:
(7x ÷ 12) * (1/12) = 120 * (1/12)
Simplifying this equation, we get:
(7/12) * x = 10
Therefore, the statement is:
If 7x ÷ 12 = 120, then (7/12) * x = 10.
To use the Multiplication Property of Equality to complete the statement, you need to isolate the variable x on one side of the equation.
Given the equation 7x ÷ 12 = 120, the first step is to multiply both sides of the equation by 12 to remove the denominator:
(7x ÷ 12) * 12 = 120 * 12
Simplifying the equation, the 12s cancel out on the left side:
7x = 120 * 12
Next, multiply 120 and 12:
7x = 1440
The equation is now in the form of mx = b, with the variable x isolated.
To find the value of x, divide both sides of the equation by 7:
(7x) ÷ 7 = 1440 ÷ 7
Simplifying further:
x = 1440 ÷ 7
Evaluating the division:
x ≈ 205.71
Therefore, the completed statement would be: If 7x ÷ 12 = 120, then x ≈ 205.71.