Unit 4 linear equations homework 12

Solve the equation below for X

1/3(-x + 3) = -x - 4

Answer: x = -15/2 = -7.500

Work~~

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    1/3*(-x+3)-(-x-4)=0

Step by step solution :

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

  1              

 (— • (3 - x)) -  (-x - 4)  = 0

  3              

STEP

2

:

Equation at the end of step 2

 (3 - x)    

 ——————— -  (-x - 4)  = 0

    3      

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

             -x - 4     (-x - 4) • 3

   -x - 4 =  ——————  =  ————————————

               1             3      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  -x - 4  =   -1 • (x + 4)

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(3-x) - ((-x-4) • 3)     2x + 15

————————————————————  =  ———————

         3                  3  

Equation at the end of step

4

:

 2x + 15

 ———————  = 0

    3  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2x+15

 ————— • 3 = 0 • 3

   3  

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2x+15  = 0

Solving a Single Variable Equation:

5.2      Solve  :    2x+15 = 0

Subtract  15  from both sides of the equation :

                     2x = -15

Divide both sides of the equation by 2:

                    x = -15/2 = -7.500

One solution was found :

x = -15/2 = -7.500

Answer:

534 miles every 1 hour

Step-by-step explanation:

Answer:

528

Step-by-step explanation:

Surface area of bottom block + Surface area of top block - 2(Shared surface area)

Bottom block: 2(10*12) + 2(5*12) + 2(5*10) = 240 + 120 + 100 = 460 square inches

Top block: 2(2*2) + 4(2*8) = 8 + 64 = 72 square inches

Shared surface area = 2*2 = 4 square inches

Plugging into our formula:

460 + 72 - 4 = 528 square inches

Answer:

A. It is an atom

Step-by-step explanation:

That shows CO2 in the form of an atom

Answer:

D

Step-by-step explanation:

The answer is compound because a compound is a mixture of the two or the formed final product. It is basically the final result after adding those two together. It's also known as your solution. It isn't C a mixture because a mixture would just be a mix of the the molecules they wouldn't be bonded(attached to one another).

Hope this helps you out :)

Answer:

gcccccccccccccccccccccccccccccccccccccccccccccccccccavrfcxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzqer

Step-by-step explanation:

Answer:

= 4 0

Step-by-step explanation:

/ 1 0 + 8 =1 2

/1 0+ 8 − 8 = 1 2 − 8

SIMPLIFY

1 0 = 4

Multiply all terms by the same value to eliminate fraction denominators

1 0 = 4

1 0 ⋅ /1 0= 1 0 ⋅ 4

Simplify

n=40

Answer:

5-6 people needed fieoshshdudhsbsbz

Answer:

-89

Step-by-step explanation:

using the following inequality 9 > 2. multiply each side by ( - 3 ) write a true inequality statement. 12 > -1, -27 > - 6,

Answer:

Lee earns 2x.

They both earn 3x.

Step-by-step explanation:

If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.

Answer:

1/6

Step-by-step explanation:

Every time you roll a die, there's a 1 in 6 chance that you're gonna roll any given number on the die

Answer:

The original mean is 12

Step-by-step explanation:

Answer:

D. In a chemical change, a new substance forms.

Step-by-step explanation:

The chemical reaction produces a new substance with new and different physical and chemical properties.

(hope this helps :P)

Answer:

t=4

Step-by-step explanation:

Calculator (Factoring)

Answer:

41.6666% is a required percent of 48 is 20

20/48×100%=41.6666%

Answer:

Step-by-step explanation:

Answer:

117 yards is the approximate distance

Step-by-step explanation:

Answer:

Her error was that the half should have been multiplied by m, instead

[tex]50 + \frac{1}{2}m = 120[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = 50[/tex]

[tex]Rate = 0.05[/tex]

[tex]Days = n[/tex]

So, we have:

[tex]Base\ Amount + Rate * days = 120[/tex]

[tex]50 + \frac{1}{2}m = 120[/tex]

Hence, the error in her workings is that she should have pre-inform her before God and man.

Answer:

C - The One-half should be multiplied by m.

Step-by-step explanation:

Its right on edge

Answer:

D) 525

Step-by-step explanation:

hope this helped!!

Answer:

D, ($525)

Step-by-step explanation:

The cost for 1 adult is $75, and you are trying to solve for 7 adults.  So basically, all you need to do is 75x7.  The answer is D.  

Answer:

he gets 104$

Step-by-step explanation:

104 dollars

26x4=104

Answer:

Step-by-step explanation:

Times means multiple so 26 x 4 and that equals 104. $104 dollars would be your answer.

Answer:

b, x = 17

Step-by-step explanation:

A right angle (as shown by the box in the corner of the angle) is 90°.

So, the two angles have to add up to 90°.

22 + 4x = 90

Subtract 22 from both sides.

4x = 68

Divide both sides by 4.

x = 17

The answer is b, 17

Hope this helps! Feel free to ask any questions! :)

Answer:

B.) 17

Step-by-step explanation:

90-22=68

68/4=17

Brainliest please

Answer:

Your answer would be B. A metal railing rusting in damp weather because anything that contains any sort of rust whats so ever is always considered a chemical change.

Answer:

rectangle are congruent because opposite sides of rectangle are equal. We also know that diagonals of rectangle bisect each other

Answer:

x = (64 ÷ 2) ÷ r

Step-by-step explanation:

x = teams

r = rounds

hope this helps :)

Answer:

f(x)=-1/2x+64

Step-by-step explanation:

a function starts with f(x) so thats how i got the f(x) and im guessing this is talking about linear functions so they start of with 64 teams which is the y intercept and 1/2 are eliminated after each round which is -1/2 giving us f(x)= -1/2+64

Answer:

the slope is -3/0, which is undefined

Step-by-step explanation:

subtract the ys and subtract the xs and put y/x

anything divided by 0 is a math error (not to b confused with 0 divided by, which is just 0)

Hope this helps :)

Answer:

A, B, D

Step-by-step explanation:

Answer:

look at the sceenshot how you put the graph in

Step-by-step explanation:

Answer:

x≥4.5

x is all number greater than or equal to 4.5

Step-by-step explanation:

2x≥5+4

2x≥9

x≥9/2

x≥4.5

x is all number greater than or equal to 4.5

Answer:

2/4??..

Step-by-step explanation:

Please don't really use this answer because it is random

Answer:

3b(3-b) is the answer

Step by step explanation : take out the most common factor which is 3b