All categories

3 years ago

6x+3(4x-2)=5(2x-8) the answer is -17/4 but can someone explain how to get that answer? plz help lol

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

7 0

Answer:

Step-by-step explanation:

$6x + 3(4x - 2) = 5(2x - 8)$

Expand the terms in the bracket and simplify

That's

$6x + 12x - 6 = 10x - 40 \\ 18x - 6 = 10x - 40$

Using the subtraction property subtract 10x from both sides of the equation

$18x - 10x - 6 = 10x - 10x - 40 \\ 8x - 6 = - 40$

<u>Add 6 to both sides of the equation</u>

$8x + 6 - 6 = - 40 + 6 \\ 8x = - 34$

<u>Divide both sides by 8</u>

$\frac{8x}{8} = - \frac{34}{8}$

<u>Reduce the fraction with 2</u>

We have the final answer as

$x = - \frac{17}{4}$

Hope this helps you

You might be interested in

There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and come back ( you don

Setler [38]

Answer:

49 different ways

Step-by-step explanation:

If there are seven roads that lead to the top, you have seven possible choices to go to the top of the hill.

Then, to come back to the start, you also have seven possible choices (seven roads), and you can pick any road.

So, if you have seven ways to go up and seven ways to go down, the number of different ways of going to the top and coming back is the product of these numbers of possible choices.

N(total) = N(up) * N(down)

N(total) = 7 * 7

N(total) = 49 different ways

Brainliest pls and tysm!

8 0

2 years ago

Please help me ): I'm in desperate need of help I'm still in Middle School and I'm so confused I don't want to get a bad grade )

lutik1710 [3]

Answer:

you can use either or for the last one

8 0

3 years ago

Read 2 more answers

Many people use scanners to read documents and store them into pdf file. To help determine which brand of scanner to buy, a stud

konstantin123 [22]

The data is missing in the question. The data is provided below :

Document : 1 2 3 4 5 6 7 8

Brand A 17 29 18 14 21 25 22 29

Brand B 21 38 15 19 22 30 31 37

Solution :

State of the hypothesis of the null hypothesis and alternate hypothesis.

Null hypothesis : $h_A = h_B$

Alternate hypothesis : $h_A > h_B$

These hypothesis is a one tailed test. The null hypothesis will get rejected when the mean difference between the sample means is very small.

Significance level = 0.05

Therefore the standard error is : $SE = \sqrt{(\frac{s^2_1}{n_1})+(\frac{s^2_2}{n_2})}$

= 3.602

And the degree of freedom, DF = 14

$t=\frac{(x_1-x_2)-d}{SE}$

= -1.319

Here, $s_1$ = standard deviation of the sample 1

$s_2$ = standard deviation of the sample 2

$n_1$ = size of the sample 1

$n_2$ = size of the sample 2

$x_1$ = mean of the sample 1

$x_2$ = mean of the sample 2

d = the hypothesis difference between the population mean

The observed difference in a sample means t static of -1.32. From t distribution calculator to determine P( $t \leq -1.32$ ) = 0.1042

Since the P value of 0.1042 is greater than significance level o 0.05, we therefore cannot reject the null hypothesis.

But from the test, we have no sufficient evidence that supports that Brand A is better than Brand B.

8 0

3 years ago

In 2014, the CDC estimated that the mean height for adult women in the U.S. was 64 inches with a standard deviation of 4 inches.

Vladimir79 [104]

Answer:

A. 16%

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 64, \sigma = 4$

Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches?

This is 1 subtracted by the pvalue of Z when X = 68. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{68 - 64}{4}$

$Z = 1$

$Z = 1$ has a pvalue of 0.84.

1 - 0.84 = 0.16

So the correct answer is:

A. 16%

6 0

3 years ago

Express with radical signs instead of fractional exponents. Rationalize the denominator.

CaHeK987 [17]

$x^{\frac{1}{2}} = \sqrt[2]{x}$ and $3^{-\frac{1}{2}} = \frac{1}{3^{\frac{1}{2}} } = \frac{1}{\sqrt[2]{3}}$ so

$3^{-\frac{1}{2}} x^{\frac{1}{2}} = \frac{1}{\sqrt{3}} \cdot \sqrt{x} = \frac{\sqrt{x}}{\sqrt{3}}$

and you rationalize denominator by multiplying numerator and denominatr by $\sqrt{3}$ so that gives--

$\frac{\sqrt{x}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3x}}{3}$

Your answer is $\frac{\sqrt{3x}}{3}$

5 0

3 years ago

6x+3(4x-2)=5(2x-8) the answer is -17/4 but can someone explain how to get that answer? plz help lol​

6x+3(4x-2)=5(2x-8) the answer is -17/4 but can someone explain how to get that answer? plz help lol