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3 years ago

2/3(5x-6)=6 solve for x

Mathematics

1 answer:

alisha [4.7K]3 years ago

4 0

Answer:

x=3

Step-by-step explanation:

There's many ways you can begin this, I prefer getting rid of the fraction first.

Multiply both sides by 3/2 (yes, I switched it on purpose)

You get. . .

5x-6 = 9

To isolate the 5x, add 6 to both sides

5x = 15

Divide both sides by 5 and you get . . .

x=3

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2x – бу = 12<br> -5x - 15 = -30

erastova [34]

Answer:

x=7 and y= 1/3

Step-by-step explanation:

we have -5x - 15 = -30 <=> x + 3 = 10

x= 7

if x=7

so 2×7 - 6y = 12 <=> 14 - 12 = 6×y

2 = 6y

y= 2/6 = 1/3

3 0

2 years ago

1 3/4 miles in twenty minutes

nikitadnepr [17]

No instructions? I'll assume you want the unit rate.

4 miles in 36 minutes = 4/36 miles in 1 minute, or 1/9 mile in 1 minute.

1 3/4 mile in 20 minutes? Multiply both figures by 3:

7 miles in 60 minutes, or 7 miles in 1 hour, or 7 mph.

8 0

2 years ago

5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied by 2.

elena-14-01-66 [18.8K]

Step-by-step explanation:

<h3>One fourth Part of Product of 12 and 3 </h3>

<h3>: 36 = 1/4 = 9</h3><h3>5 subtract from this = 9 - 5 = 4</h3>

<h3>Multiply by 2 = 2×4 = 8</h3>

3 0

2 years ago

conducted an experiment with orange, purple and blue colored lights to grow spinach. During their experiment, they conducted a c

LiRa [457]

Answer:

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.

Step-by-step explanation:

There are 3 colors so degrees of freedom = 3-1 = 2

The chi square value = 0.85

The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

The p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.

There is not enough evidence to reject the null hypothesis.

Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.

8 0

2 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago