All categories

3 years ago

(2/3)-(1/X+6)=2 solve for x

1 answer:

8 0

We have a fraction with the unknown in the denominator, review how to treat unknowns in the denominator as a refresher for this exercise:
(2/3) - (1/x + 6) = 2
(2/3) - (1 + 6x)/x = 2
(2/3) - 2 = (1 + 6x)/x
2/3 - 6/3 = (1 + 6x)/x
-4/3 = (1 + 6x)/x
-4x = 3(1 + 6x)
-4x = 3 + 18x
22x = -3
x = -3/22

You might be interested in

An archeologist discovered two artifacts buried beneath the ground. She found the first artifact at an elevation of -8:2/7 meter

8090 [49]

Answer:

Option D is the correct choice.

Step-by-step explanation:

We are provided angle of elevations of two artifacts buried beneath the ground and we are asked to find distance between these two elevations.

We will find distance between these elevations by taking the difference of two.

$35:\frac{4}{7}--8:\frac{2}{7}$

$35:\frac{4}{7}+8:\frac{2}{7}=43:\frac{6}{7}$

Since we know that distance is always positive so option A is incorrect.

Therefore, option D is the correct choice and distance between these two elevations is $43:\frac{6}{7}$ .

5 0

3 years ago

Read 2 more answers

The sides of a square are increased by a scale factor of 6. The perimeter of the smaller square is 10 ft. What is the perimeter

inn [45]

Answer:

60ft

Step-by-step explanation:

I have not done this kind of work in a while but if you scale each side of the square by 6 is should increase to a perimeter of 60ft

4 0

3 years ago

The table shows the height of a plant as it grows. Which equation in point slope form gives the plant’s height at any time

vodka [1.7K]

Answer:

Option A is correct.

$y-16=8(x-2)$ is the equation represent the point slope form gives the plant's height at any time.

Step-by-step explanation:

Point slope intercept form: For any two points $(x_1, y_1)$ and $(x_2, y_2)$ then,

the general form

$y-y_1=m(x-x_1)$ for linear equations; where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

Consider any two points from the table;

let A= (2 , 16) and B =(4, 32)

First calculate the slope of the line AB:

$m =\frac{y_2-y_1}{x_2-x_1}=\frac{32-16}{4-2}=\frac{16}{2}$ = 8

Therefore, slope of the line m = 8

Then,

the equation of line is:

$y-y_1=m(x-x_1)$

Substitute the value of m=8 and (2, 16) above we get;

$y-16=8(x-2)$

Therefore, the equation in point slope form which gives the plant's height at any time is; $y-16=8(x-2)$ , where x is the time(months) and y is the plant height (cm)

5 0

3 years ago

Read 2 more answers

What is x, the length of the diagonal, to the nearest whole number

lions [1.4K]

brainly being slow today so i did my work on this attachment

╦────────────────────────────╦

│Hope this helped _____________________│

│~Xxxtentaction _______________________│

╩__________________________________╩