Question

Which of the following is a true statement? (round to the nearest tenth as needed) A If 9z = -3, then z = 0.3333...

Answer 1

The true statement is $\boxed{{\text{if }}9z = 3,{\text{ then }}z = 0.3333 \ldots }$. Option D is correct.

Further explanation:

Given:

The options are as follows,

A. ${\text{if }}9z = - 3,{\text{ then }}z = 0.3333 \ldots$

B. ${\text{if }}9z = 3,{\text{ then }}z = - 12$

C. ${\text{if }}9z = 3,{\text{ then }}z = 3$

D. ${\text{if }}9z = 3,{\text{ then }}z = 0.3333 \ldots$

Explanation:

In option A the statement is ${\text{if }}9z = - 3,{\text{ then }}z = 0.3333 \ldots$.

The equation is $9z=-3$ and the value of $z$ can be obtained as follows,

$\begin{aligned}9z&= - 3\\z&= \frac{{ - 3}}{9}\\z&= - \frac{1}{3}\\z&= - 0.3333 \ldots \\\end{aligned}$

Since, the value of $z$ is $0.3333 \ldots.$Therefore,option A is not correct.

In option B the statement is ${\text{if }}9z = 3,{\text{ then }}z = - 12.$

The equation is $9z=3$ and the value of z can be obtained as follows,

$\begin{aligned}9z&=3\\z&=\frac{{ 3}}{9}\\z&= \frac{1}{3}\\z&= 0.3333 \ldots\\\end{aligned}$

Since, the value of $z$ is $0.3333 \ldots.$ Therefore,option B is not correct.

In option C the statement is ${\text{if }}9z = 3,{\text{ then }}z = 3.$

The equation is 9z=3 and the value of z can be obtained as follows,

$\begin{aligned}9z &= 3\\z&= \frac{{ 3}}{9}\\ z&=\frac{1}{3}\\z&= 0.3333 \ldots\\\end{aligned}$

Since, the value of $z$ is $0.3333 \ldots.$ Therefore,option C is not correct.

In option D the statement is ${\text{if }}9z = 3,{\text{ then }}z = 3.$

The equation is $9z=3$ and the value of $z$ can be obtained as follows,

$\begin{aligned}9z &= 3\\z&= \frac{{ 3}}{9}\\z &= \frac{1}{3}\\z &= 0.3333 \ldots\\\end{aligned}$

Since, the value of $z$ is $0.3333 \ldots$. Therefore,option D is correct.

The true statement is $\boxed{{\text{if }}9z = 3,{\text{ then }}z = 0.3333 \ldots }$. Option D is correct.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: statement, true, nearest tenth, round, true statement, fraction, rational, numbers, $9z=-3, 9z=3, z=0.3333, z=-12.$

Answer 2

The answer is D hope this helps :)