Solve the equation below for X
1/3(-x + 3) = -x - 4

Answers

Answer 1

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


Related Questions

can anyone give me the answer?

Answers

Answer:

169

Step-by-step explanation:

The square area is 64 and the paralellogram is 105

Add those two: 64+105=169

The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018

Answers

Answer:B

Step-by-step explanation

The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data in the table is,

Altitude(x)       Boiling point (y)

0                      212.0

500                 211.1

The slope will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 211.1 - 212  ) / (500 - 0 )

Slope = -0.0018

The y-intercept will be calculated as,

y = mx + c

212 = 0 + c

c = 212

Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.

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The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the volume of the cuboid?
Asap

Answers

Answer:

180

Step-by-step explanation:

9x5=45

45x4=180

Answer:

180 cm^3

Step-by-step explanation:

4x5x9=180

Hope this helps! ;)

The geometric mean between 8 and 18.
a) 8
b) 12
c) 14
d) 16

Answers

Explanation:

The geometric mean of two positive numbers a and b is √ab. The ratio a:√ab is equal to the ratio √ab:b.

b

Determine if the equation has the same slope as the equation
y = 2r - 4.
1. y = 2x + 4
2. y = -2x + 3.3. y = 4x - 2
4.3x - 4
Graph each equation using the slope and the y-intercept.

Answers

Answer:

Step-by-step explanation:

only y=2x+4 has the same slope as y=2x-4

slope=2

MIguel is making a trail mix. He Uses five and one third ounces of nuts and two and tree fourths ounces of raisins Which of these is a reasonable estimate for how much more nuts Miguel uses than raisins?
(Keep as a fraction and don’t change to decimal please)

Answers

Answer:

[tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins

Step-by-step explanation:

The computation is shown below:

Nuts used [tex]= 5 \frac{1}{3} = \frac{16}{3}[/tex]

Raisins used [tex]= 2 \frac{3}{4} = \frac{11}{4}[/tex]

Now the difference between them is

[tex]= \frac{16}{3} - \frac{11}{4}\\\\= \frac{64 - 33}{12} \\\\= \frac{31}{12}[/tex]

Hence, [tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins

PLS HELP Does the following table of values represent an exponential function?

Answers

Yeah it does. :)) hope this answered ur question.

I need some help please

Answers

Answer:

might be the [tex]\sqrt{74}[/tex] because it equals 8.6 and the missing angle is slightly loger than the 7 butyou never know i might be wrong

Step-by-step explanation:

Mia said that 2 - 3a = 11 and 3a -2 +1 have the same solution. Is she correct? Explain.

Answers

2-3a=11
Minus 2 from both sides
-3a=9
a=-3
3a-3=1
Plus 3 to both sides
3a=4
a=4/3
No

What does it mean when a problem asks for an expression

Answers

Answer:

when it asks for an expression it means an equation

ex.) 2x+3 =5

Step-by-step explanation:

Solve for x (round to the nearest hundredths of a degree)
PLEASE HELP ME DUE IN A HR

Answers

Answer:

x = 34.85

Step-by-step explanation:

Apply trigonometric ratio formula to find x

Reference angle = x

Side opposite to x = 4

Hypotenuse = 7

Therefore,

Sin x = opp/hyp = 4/7

x = sin-¹(4/7)

x = 34.85° (nearest hundredth)

A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?

Answers

Answer:

y = 9x + 10

Step-by-step explanation:

y = mx + b

Here, m is slope and b is y-intercept

y = 9x + 10

en la tienda la cuquita vende queso cortado en trosos de diferentes pesos calculen presios y pesos para completar la infomacion 3n las etiquetas. 1000g = 1250g= =160.00. = 14.00. 100g= 650g= 6659g= 250g=$150.00. =16.00​

Answers

answer 143.00 Step-by-step explanation:

True or false?

The length of the intercepted arc is equal to the circumference of the circle.

Answers

Answer:

True

Step-by-step explanation:

i’m sure the arc is just a piece of the circumference so false

For each expression, select all equivalent expressions from the list 1. 24x - 18 A. 6(4x -3) B. 6 C. 4(6x - 4) D. 12x - 9​

Answers

23/3+1=5 so I hope this help

Answer:

A

Step-by-step explanation:

In the functions in the table, x is the price of each chair. The functions give the revenue (R) and costs (C) that Carrie’s business can expect in a year at a given price for the item. Use graphing tools to examine the graphs for each set of equations. Then select the correct answer from each drop-down menu.

Answers

9514 1404 393

Answer:

Material 2 can deliver the highest profit of about 3,225,000Material 3 is profitable for the widest range of prices

Step-by-step explanation:

The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.

Material 2 (blue curve) shows the highest profit.

Material 3 (green curve) shows a profit over the widest range of prices.

A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.

please answer fasttt

Answers

Answer:

20 is the answer

Step-by-step explanation:

48-28=20

The new Samsung 9 phone costs $500, and has a sales tax of 15%. What is the final price?

Answers

Answer:

575

Step-by-step explanation:

500 x .15 = 75

500 + 75 =575

Which is Q=200p/L solved for p

Answers

Answer:

P = QL/200

Step-by-step explanation:

Answer:
P= QL/200
Step by step explanation:

El lote rectangular de mi casa tiene 8m mas de profundidad que de frente y para cercalo necesitamos 46m ¿cuales son las dimensiones del lote?​

Answers

Answer:

Profundidad 1= 15,5 metros

Profundidad 2= 15,5 metros

Frente 1= 7,5 metros

Frente 2= 7,5 metros

Step-by-step explanation:

Suma todo y da 46 metros que es la medida de la cerca.

resta la profundidad con el frente y da 8 metros que es la diferencia o los metros más.

:)

Pls help I’ll brainlest for the correct answer

Answers

Answer:

3+11a=80

Step-by-step explanation:

3+11a=80

11a=77

a=7


Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
The district's nutrition manager is interested in determining if the program is effective. He takes two independent
random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
the mean amount of money, in dollars spent for the program. Which of the following statements concerning the
variability of the sampling distribution of the sample mean is correct?

Answers

Answer:

A

Step-by-step explanation:

Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates

What is the Nutrition?

Nutrition is the study of food and how it works in your body. Nutrition includes all the stuff that's in your food, such as vitamins, protein, fat, and more. It's important to eat a variety of foods, including fruits, vegetables, dairy products, and grains, so you have what you need to grow and be healthy.

How to determine?

Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.

Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates

Learn more about Nutrition:

https://brainly.com/question/26750988

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what number must you add to complete the square?

x^2+14x=3

Answers

Answer: 49

Step-by-step explanation: In order to complete the square, you need a perfect square trinomial on the left side of the equation.

The question is, what is the number we need?

Well it comes from a formula. The number that is added to both sides

comes from half the coefficient of the middle term squared.

So that's half of 14 which is 7, squared which is 49.

Will give brainliest

Answers

Answer:

PR= 8

ST=5

Step-by-step explanation:

PQ and PR are congruent so

2x=8

x=4

2*4=8

PR=8

ST and TU are congruent so

5z=2z+3

3z=3

z=1

5*1=5

ST=5

Answer:

PR=8

ST=5

Step-by-step explanation:

PR

QS=SR (marked)

a²=b²+c² (TRIANGLE PQS)

PQ²=PS²+QS²

8²=PS²+SR² (PQ=8, QS=SR)

64=PS²+SR²

a²=b²+c² (TRIANGLE PRS)

PR²=PS²+SR²

(2x)²=64

2x=8

x=4

PR=2x=2(4)=8

ST

a²=b²+c² (TRIANGLE VUT)

VT²=TU²+UV²

VT²=(2z+3)²+UV²

VT²=4z²+12z+9+UV²

a²=b²+c² (TRIANGLE VST)

VT²=VS²+ST²

VT²=VS²+25z²

4z²+12z+9+UV²=VS²+25z²

21z²-12z-9=0

7z²-4-3=0

(7z+3)(z-1)=0

z=-3/7 or z=1

cant be neg, z=1

ST=5(1)=5

PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!

Answers

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

Answer it fast please​

Answers

Answer:

0.00446

Step-by-step explanation:

We need to find the value of the following expression :

[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}[/tex]

We know that, [tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}=(\dfrac{95}{17})^{-3}\times (\dfrac{17}{15})^2\\\\=0.00446[/tex]

So, the value of the given expression is 0.00446.

All things algebra triangle angle sum theorem

Answers

Answer:

The three angles of a triangle always add up to 180°.

That's basically all there is to it. I know this was pretty short but I hope it helps. :)

Answer:

The Triangle Angle Sum Theorem is that all angles in a triangle must add up to 180°.

Step-by-step explanation:

(hope this helps :P)

Use the Pythagorean Theorem to find the missing side.
Round to the nearest tenth
10 m
7.5 m

Answers

The fourth one 12.5!

It's self-explanatory, hope this helps!

Help

Don’t use for points or will take it back

Answers

Answer:

It's 180-( 110+20)

=180-130

=50 degrees, hope it helps

What is the sum of 4 1/2 + 5 1/2?

Answers

Answer:

10

Step-by-step explanation:

5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10

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