write and solve the equation that represents the sentence below.\n\nthe quotient of a number and 18 is…

write and solve the equation that represents the sentence below.\n\nthe quotient of a number and 18 is 109.8.\n\nwhich statements are correct? check all that apply.\n\n- it can be solved by using the division property of equality.\n- it can be solved by using the multiplication property of equality.\n- the equation should be $\\frac{x}{18} = 109.8$.\n- the equation should be $18x = 109.8$.\n- the answer is 6.1.\n- the answer is 1,976.4.

write and solve the equation that represents the sentence below.\n\nthe quotient of a number and 18 is 109.8.\n\nwhich statements are correct? check all that apply.\n\n- it can be solved by using the division property of equality.\n- it can be solved by using the multiplication property of equality.\n- the equation should be $\\frac{x}{18} = 109.8$.\n- the equation should be $18x = 109.8$.\n- the answer is 6.1.\n- the answer is 1,976.4.

Answer

Explanation:

Step1: Translate the sentence into an equation

Let $x$ represent the unknown number. The quotient of $x$ and $18$ is $109.8$. $$\frac{x}{18} = 109.8$$

Step2: Identify the property to solve the equation

To isolate $x$, multiply both sides by $18$ using the multiplication property of equality. $$18 \cdot \left(\frac{x}{18}\right) = 109.8 \cdot 18$$

Step3: Calculate the final value of $x$

Perform the multiplication to find the value of the number. $$x = 1976.4$$

Answer:

It can be solved by using the multiplication property of equality. The equation should be $\frac{x}{18} = 109.8$. The answer is $1,976.4$.