All categories

3 years ago

3(4x + 5) = 12 Which of the following correctly shows the beginning steps to solve this equation?

1 answer:

8 0

The correct answer is A.

Here is the completed problem:

3(4x+5)=12

Distributive property.

3(4x+5)=12

Simplify

12x+15=12

Subtract 15 from both sides.

12x+15−15=12−15

12x=−3

Divide both sides by 12.

12x/12 = −3/12

x= −1/4

You might be interested in

Without graphing is the system independent, dependent, or inconsistent?

rewona [7]

Y = -2 x - 9
3 x - 4(-2 x - 9 ) = -8
3 x + 8 x + 36 = - 8
11 x = - 44, x = - 4
y = 8 - 9 , y = -1
This is a unique solution, the system is independent.

3 0

3 years ago

Pls!! Which sum or difference is modeled by the algebra tiles?

nasty-shy [4]

Answer: your answer is C

3 0

3 years ago

Read 2 more answers

What is the value of x?

Mazyrski [523]

x/20 = 21/14 (similar proportions)

x/20 = 3/2 (simplify by canceling out a factor of 7)

x = 30

6 0

3 years ago

Read 2 more answers

Brent is making a playlist for an upcoming trip. The average length of a song is 3.53 minutes If the flight is about 120 minutes

vlada-n [284]

Answer:

34 songs

Step-by-step explanation:

120min/3.53 = 33.99

5 0

3 years ago

Read 2 more answers

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

5 0

3 years ago