All categories

3 years ago

1/3x+2=3/4 how would I go about solving this???

Mathematics

1 answer:

Marizza181 [45]3 years ago

8 0

Answer combine 1/2 and x.

X/2+2/3=1/6

Subtract 2/3 from both sides of the equation

X/2=1/6-2/3

Simplify the right side of the equation

-2/3 as a fraction with a common denominator, multiply by 2/2

X/2=1/6-2/3 x 2/2

Multiply 3 by 2

X/2 = 1/6 - 2/6 x 2

Combine the numerators over the common denominator

X/2 = 1-2 x2/ 6

Simplify the numerator

Multiply by -2 by 2

X/2 =1-4/6

Subtract 4 from 1

X/2= -3/6

Cancel the common factor of -3 and 6

Factor 3 out of -3

X/2 = 3(-1)/6

Cancel the common factor of 6

X/2 = 3 .-1/3.2

Rewrite the expression

X/2 = -1/2

Move the negative in front of the fraction

X/2= -1/2

Since both sides have the same Denominator the numerators must be equal.

X=-1

You might be interested in

Urgent!!!

natita [175]

Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east

<h3>How to determine the speed of travel?</h3>

The diagram that represents the scenario is added as an attachment.

Let x represents Lyra's speed of travel.

The value of x is calculated using the following Pythagoras theorem.

$x = \sqrt{3^2 + 6^2}$

Evaluate the exponents

$x = \sqrt{9 + 36}$

Evaluate the sum

$x = \sqrt{45}$

Evaluate the exponent

x = 6.71

Hence, Lyra's speed of travel is 6.71 feet per seconds

<h3>How to determine the direction of travel?</h3>

The direction (∅) is calculated using the following tangent ratio.

$\tan(\theta) = \frac 36$

Evaluate the quotient

$\tan(\theta) = 0.5$

Take the arc tan of both sides

$\theta = \tan^{_1}(0.5)$

Evaluate

$\theta = 27$

Hence, Lyra's direction of travel is 27 degrees north of east

Read more about speed and distance at:

brainly.com/question/4931057

#SPJ1

3 0

2 years ago

Find x to the nearest 10th help pls

a_sh-v [17]

Answer:

5.9

Step-by-step explanation:

6 0

3 years ago

Two functions are defined as shown.

maxonik [38]

Answer:

Graph (2).

Step-by-step explanation:

Given question is incomplete: Find the complete question in the attachment.

Given : f(x) = - $\frac{1}{2}x-2$

g(x) = - 1

To find : The graph showing f(x) = g(x)

If the given functions f(x) = g(x)

$-\frac{1}{2}x-2=-1$

$-\frac{1}{2}x=-1+2$

$-\frac{1}{2}x$ = 1

x = -2

That means both the functions have the same value at x = -2

f(-2) = g(-2) = -1

In other words, both the lines will intersect at a point (-2, -1).

From the given graphs,

Graph number (2) shows the required results.

A straight line g(x) = -1 parallel to x- axis and another straight line f(x) = $-\frac{1}{2}x-2$ , intersect each other at (-2, -1).

Therefore, Graph (2) will be the answer.

7 0

3 years ago

Read 2 more answers

Franco Jardin earns $7 an hour at his part time job last week he worked 16 hours what was his Gross pay for the week?

son4ous [18]

Franco jardin earned 112$ this week

8 0

3 years ago

Read 2 more answers

A positive integer is 4 less than another. If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of

Arlecino [84]

Answer:

(0.0147, 4.0147) and (-4.04, 0.04)

Step-by-step explanation:

Let the smaller number be x

Let the larger number be y

If a positive integer is 4 less than another, then;

x = y - 4 ...1

If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;

1/y - 3(1/x) = -67

1/y -3/x = -67 ...2

Substitute 1 into 2

1/y - 3/y-4 = -67

y-4-3y/y(y-4) = -67

-4-2y = -67(y^2-4y)

- 4-2y = -67y^2 +268y

-67y^2 +268y+2y + 4 = 0

-67y^2 +270y + 4 =0

67y^2 -270y - 4 = 0

Factorize

-270±√270² - 4(-4)(67)/2(67)

= -270±√72,900+1072/134

= -270±271.97/134

= -270 -271.97/134 and -270 +271.97/134

= -541.97/134 and 1.97/134

x = 0.0147 and -4.04

y = x+4

y = 0.0147+4

y = 4.0147

If x = -4.04

y = -4.04 + 4

y = 0.04

Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)

6 0

3 years ago