HELP!!! Will give brainliest!!! How do you slove a two step equation with fractions involved?

Answers

Answer 1

I hope that this is what you are looking for

Step-by-step explanation:

Let's take the following question as an example,

[tex]\frac{2}{3} x-\frac{1}{4} = \frac{1}{6}[/tex]

Start by adding 1/4 to both sides.

[tex]\frac{2}{3} x - \frac{1}{4} + \frac{1}{4} = \frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2}{3}x = \frac{1}{6}+ \frac{1}{4}[/tex]

To add both 1/6 and 1/4 together we must have a common denomitor.

The common denominator for 1/6 and 1/4 is 12

[tex]\frac{2}{3}x = (\frac{1}{6}*\frac{2}{2} ) + (\frac{1}{4}*\frac{3}{3} )[/tex]

Multiple to get the common denomiators

[tex]\frac{2}{3}x = (\frac{2}{12}) + (\frac{3}{12} )[/tex]

Now we can add the fractions.

[tex]\frac{2}{3}x = \frac{5}{12}[/tex]

To get the x by itself we can either multiple by the reciprobcal of 2/3 or multiple by 3 and then divide by 2

[tex](\frac{3}{2} )* \frac{2}{3} x = (\frac{5}{12})(\frac{3}{2})[/tex]

The left side will become x as 3/2 and 2/3 cancel each other out

[tex]x = (\frac{5}{12}) (\frac{3}{2})[/tex]

Multiple the right side to get a value for x

[tex]x = \frac{15}{24}[/tex] or [tex]x = \frac{5}{8}[/tex]

If you notice we can simplfy the fraction to 5/8


Related Questions

Chris can be paid in one of two ways. Plan A is a salary of $400 per month, plus
a commission of 7% of sales. Plan B is a salary of $692 per month, plus a
commission of 3% of sales. For what amount of sales is Chris better off selecting
plan A?

Answers

Answer:

$7300

Step-by-step explanation:

For Chris to select plan A, Plan A salary should be greater than that of plan B. Let the amount of sales be x

[tex]400 + \frac{7}{100} x > 692 + \frac{3}{100} x \\ \frac{7}{100} x - \frac{3}{100} x > 692 - 400 \\ \frac{4}{100} x > 292 \\ x > 7300[/tex]

Brett gets 5.3% Commission on all of his sales. If he makes $5500 in a week,
what is his commission for the week

Answers

Answer:

291.5

Step-by-step explanation:

5500×5.3

that's pretty much it lol

I need help and it’s due today

Answers

Answer:

45

Step-by-step explanation:


Consumers are paying record amounts of fees for overdrawing their bank accounts. In 2007, bankes this and credit unions collected $649 on in overdraft fees, which is $144 on more than in 2001. What is the
percent of increase?

Answers

Answer: 1.3 percent increase (to the nearest 10th

Step-by-step explanation: to figure out the percent of increase, you have to take the $144 away from 649, which is $505, then divide so:

$649 - $144 = $505

$649 / $505 = 1.28...or ~1.3

Which property does the equation illustrate?
0 +-b= -b?

Answers

Answer:

The property the equation illustrates would be the zero property of addition.

Step-by-step explanation:

The additive property of zero states that when you have any number and add zero to it, your answer will always equal the original number.

the intersection of a line and plane is a line

Answers

this statement is false.

Find the volume of a cylinder with the height 25cm and radius 5cm

Answers

Answer:

= 1963.5cm³

Step-by-step explanation:

radius=5

height=25

V=πr2h=π·52·25≈ 1963.49541cm³

Find the inverse of the equation f(x)=ln(x/x-2)

Answers

Answer:

inverse of f(x) = (2e^x)/(e^(x)-1)

Step-by-step explanation:

Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)

Answers

Step-by-step explanation:

(f o g)(x)

= f(g(x))

= f(2x - 3)

= |2x - 3|

To one decimal place, 93 must lie between
and

Answers

Answer:

9.3

Step-by-step explanation:

To move one decimal you move one digit left.

Choose the most appropriate name for the function:
The output from a machine depends on the input to the machine.
A. Output(input), or O(i)
B. Input(output), or O(i)
C. Input(output), or I (0)
D. Output(input), or i(0)

Answers

Output(input), or O(i)

Neil are 99% of the pizza. Did Neil eat the Entire Pizza? Yes or No

Answers

Answer:

No

Step-by-step explanation:

100 - 99 = 1.

He left 1% of pizza.

Therefore, the answer is no.

Answer:

no ◇◇

Step-by-step explanation:

I hoped I helped ◇◇

21
Find an equation of the line containing the given pair of points.
(4,5) and (12,8)

Answers

The answer is 8y=3x+28

Please help this math problems

Answers

Answer:

1)85

2)-3

3)-5

4)98

5)2

6)-3

7)-5

8)-1

9)-4

10)2

11)535

Step-by-step explanation:

A recipe says that 2 cups of dry rice will serve 6 people. How many cups of rice are needed to serve 45 people?
(Please Help)

Answers

Answer:

7.5 cups pf rice

Step-by-step explanation:

45 divided by 6

What number must be added to 36 to obtain −17?

Answers

That would be 36 + -53 = -17 is -53

28=8k+12-7k I HAVE 1 minute to answer this and show work QUICK PLEASE

Answers

Answer:

Step-by-step explanation:

16=k

The value of k from the given equation is 16.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 28=8k+12-7k.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 28=k+12

k=28-12

k=16

Therefore, the value of k from the given equation is 16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

expressions that are equivalent to -8.

Answers

Answer:

f(1)=5x-13=-8

Step-by-step explanation:

5-13=-8

or

f(1)=5x-13=-8

f(x)=3x 2 +16 Find f(-1)

Answers

Answer:

X-18/3

Step-by-step explanation:

Assuming you meant 3x+18

The inverse f(-1) of the equation is above.

Solve for x: 4(x + 3) - 2 = 14

Answers

Answer:

X = 1

Step-by-step explanation:

4(x + 3) - 2 = 14

4x + 12 - 2 = 14

4x + 10 = 14

4x = 4

x = 1

Answer:

x = 1

Step-by-step explanation:

4(x+3) - 2 = 14

4x + 12 - 2 = 14

4x +10 = 14

4x = 14 - 10

4x = 4

x = 4/4

x = 1

what is 100000x 0

asdfssfddkddnssnbsbdbbdbbdbdbbdbbdbdbbbdvvddbdd. dbdbddbdbbbdbbd​

Answers

Anything multipled by 0 will always equal 0

11.
- 2x + y -z= 2
-x-3y + z = -10
3x + 6z= -24

Answers

What do you need exactly

Lina rolled a die.

What is the probability that she got 3?

Answers

1/6 (if it’s a regular dice you’re talking about.

Answer:

1/6

Step-by-step explanation:

So asuming that she didn't roll a biased die the probability of getting a three is 1/6

This is because the total outcomes are 6 and there is only one three thus the probability that she got 3 is 1/6.

HOPE THIS HELPED

Given g(x)=−2x2+1, find the indicated values: g(-4)

Answers

g(-4) means inputing -4 into x. So you will be replacing x with -4 in order to find a y for that input (-4). So...

g(-4)=-2(-4)^(2) + 1
=8^2 +1
= 64 +1
=65
(btw the question is a bit weird so im assuming that you forgot the exponent sign and it is -2x^2 + 1)

A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?

Answers

Answer:

$29.16

Step-by-step explanation:

Each gallon of gas is $2.16.

13.5 gallons of gas is 2.16 (13.5) = $29.16.

Rob spent $29.16 on gas. You get this by multiplying the amount a gallon of gas costs by the amount of gallons he bought. 2.16 x 13.5 = 29.16

. When the process of solving a linear inequality results in the variable being eliminated with a false statement remaining, what does this mean about the solution set of the inequality?

Answers

Answer:

No Solution

Step-by-step explanation:

When we solve linear inequalities using any one the methods such as

1) Elimination  or

2) Substitution

And we get  the variable eliminated with a false statement remaining, this means there is no solution.

In other words the solution does not exist or the solution is not possible in the given range or the values given are false.

But when the values are true we get a solution for the variable solved.

In the elimination method we eliminate the same terms by addition or subtraction after making them equal.

And the substitution method requires putting the values of one variable in place of another.

point a is at (-7,-9) and point b is at (6,3) what is the midpoint of line segment AB

Answers

Answer:

(-1/2,-3)

Step-by-step explanation:

(-7,-9) =x1, y1

(6,3) = x2, y2

now,

Mid point= x1+x2 /2 , y1+y2 /2

= -7+6 /2, -9+3 /2

= (-1/2 , -3)

Write the expression as the sine cosine or tangent of an angle calculator.

Answers

Answer:

hello your question is incomplete here is the complete question

write the expression as the sine, cosine,  or tangent of an angle.

[tex]sin 60 cos 15 + cos 60 sin 15[/tex]

answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]

Step-by-step explanation:

To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity

[tex]sin 60 cos 15 + cos 60 sin 15[/tex]  can be represented in the form of ;

sin( u + v ) = sin u cos v + cos u sin v --------- (1)

comparing equation 1 with the given expression

u = 60 and v = 15

therefore writing the expression in the form of the sine of an angle would be the answer

= sin( 60 + 15 )  = sin 60 cos 15 + cos 60 sin 15

hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15

What is the domain of the given function?

{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}

Answers

domain: set of x-coordinates

3, 6,-1, 5, -4

The water level in a pool drops 8 iches in a day so what is the average level drop in each hour

Answers

it would be 0, hope this helps :)
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