Find the value of X.

Answer:

x = -15/2 or -7.5

Step-by-step explanation:

6x - 4(x - 9) = 2(3 - x)

6x - 4x + 36 = 6 - 2x

2x + 36 = 6 - 2x

4x + 36 = 6

4x = -30

x = -30/4

x = -15/2

Check:

6(-7.5) + -4(-7.5 - 9) = 2(3 + 7.5)

-45 + 66 = 2(10.5)

21 = 21

Answer:

[tex]-\frac{15}{2}[/tex]

Step-by-step explanation:

6x-4(x-9)=2(3-x)

6x-4x+36=6-2x (expansion)

2x+36=6-2x (collecting like terms)

2x+2x=6-36

4x=-30 (-30/4)

x=-[tex]-\frac{15}{2}[/tex]    

Answer:

FG = 18

Step-by-step explanation:

FG + GH =  FH

FG + 31 = 49

Subtract 31 from each side

FG +31-31 = 49-31

FG = 18

Answer: FG is 18

Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18

Step-by-step explanation:

Hey there!

The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).

Note: Use double point formula for the equation.

Now;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]

Simplify it.

[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]

[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]

[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]

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

Therefore, the equation is; y = 2/3x+4/3.

Hope it helps...

Answer:

2, 3 and 4 represent the graph in the pic

Step-by-step explanation:

When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1

Hence the graph in the picture follows the formula: y = 1/2x - 1

When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.

1. y= 2x-1: Isn't the same as the equation of the line in the pic

2. Rearrange:

-2y = -x + 2        (divide both sides by 2)

y = x/2 - 1          (x/2 = 1/2x, its the same thing)

3. y= 1/2x - 1       (this is the formula of the line)

4. Expand right-hand-side:

y + 3 = 1/2x + 2    (rearrange)

y = 1/2x - 1            (this is the formula of the line)

5. Expand right-hand-side

y - 2 = 1/2x - 1      (rearrange)

y = 1/2x + 1          (is not the formula of the equation)

Answer:

Step-by-step explanation:

“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott

Answer:

J

Step-by-step explanation:

dude trust me

Answer:

Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.

Step-by-step explanation:

Put the words in numbers and symbols first and separate the sentence

Answer:

A C D

Step-by-step explanation:

Trust me on this I got it correct.

Answer:

C) is your choice

Step-by-step explanation:

Answer:

It would be 12 1/2. (12.5%)

Answer:3x41 squared

Step-by-step explanation:

4

rtbnjtfbu7yhjujkuf. ,i

Answer:

Step-by-step explanation:

First you determine the variables x and y as:

x: the value for student tickets

y: the value for chaperone tickets.

Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:

x= y +2

On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:

59x + 6y = 508

Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:

[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]

Solving for x, the price of a student ticket:

Rearranging  the first equation,

y = x - 2

Replacing in the second equation and solving for x:

59*x + 6*(x -2)=508

59*x + 6*x -12=508

65*x -12=508

65*x= 508 +12

65*x= 520

[tex]x=\frac{520}{65}[/tex]

x=8

The cost of a student ticket is 8$

Answer:

13x + x^2 - 9

Step-by-step explanation:

You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1  13x + x^2 - 9.

Answer:

Z^10

Step-by-step explanation:

Answer:

multiply 5*2=10

your answer will be =z^10

Step-by-step explanation:

Answer:

I think the answer you are looking for is 10.

Step-by-step explanation:

-5 x -2 = 10

Answer:

A(-8,5)

Step-by-step explanation:

Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).

[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]

[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]

Answer:

[tex]Amber = 0[/tex]

[tex]Grace = 0.60[/tex]

[tex]Marsha =1.70[/tex]

Step-by-step explanation:

Given

Decimal Grid = Hundredths

[tex]Amber = None[/tex]

[tex]Grace = \frac{3}{5}th[/tex]

[tex]Marsha = 1 + \frac{7}{10}th[/tex]

To solve for each:

We have:

For Amber:

[tex]Amber = 0 * 100[/tex]

[tex]Amber = 0[/tex]

For Grace:

[tex]Grace = \frac{3}{5}th[/tex]

[tex]Grace = \frac{3}{5} * 100[/tex]

[tex]Grace = \frac{300}{5}[/tex]

[tex]Grace = 60[/tex]

This means that Grace shaded 60 of the hundredth models.

Decimal shaded is:

[tex]Grace = 60 * \frac{1}{100}[/tex]

[tex]Grace =\frac{60}{100}[/tex]

[tex]Grace = 0.60[/tex]

For Marsha:

[tex]Marsha = 1 + \frac{7}{10}th[/tex]

[tex]Marsha = \frac{10 + 7}{10}th[/tex]

[tex]Marsha = \frac{17}{10}th[/tex]

[tex]Marsha = 1.7th[/tex]

Multiply this by 100, to get the number of shaded

[tex]Marsha = 1.7 * 100[/tex]

[tex]Marsha = 170[/tex]

This means that Marsha shaded 170 of the hundredth models.

Decimal shaded is:

[tex]Marsha = \frac{170}{100}[/tex]

[tex]Marsha =1.70[/tex]

Answer:

y = 15

Step-by-step explanation:

y/3 = 5

Multiply each side by 3

y/3 *3 = 5*3

y = 15

Answer:

The equation of the line is y=-16x+7

Step-by-step explanation:

I am not totally sure if that is what you meant by the equation of the line but that is my answer. I can change it if you are more specific.

Anyways, you need to find the slope because you already know the y-intercept, 7.

Slope=rise/run between two pretty points( A point that lines up on the grid)

So you must go from the bottom point and count how ever many are separating the two points. It turned out to be 16 and since the line is going down it is a negative. You then plug the numbers into the slope intercept form and that is your answer.

Answer:

Erik's chips are a better buy by 10 cents per ounce

Step-by-step explanation:

Erik's chips cost by ounce: $0.32

Al's chips cost by ounce: $0.42

Sorry if this didn't help. This is my first answer

Answer:

(7w + 9x)(7w - 9x)

Step-by-step explanation:

 Given expression;

        49w²  - 81x²

Now to solve the problem;

         49w² - 81x² = 7²w² - 9²x²

Using differences of two squares;

        x²  - y²   = (x + y)(x - y)

So;

7²w² - 9²x²  = (7w + 9x)(7w - 9x)

Answer:

The integers that satisfy both inequalities are any number between -4.5 and -12

Step-by-step explanation:

Hope this helps and pls do mark me brainliest if you can:)

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

Answer:

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Step-by-step explanation:

Given

[tex]Time = 1\ hour[/tex]

[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]

[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.

So, we have:

[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]

[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Answer:

try c, i took the test as well its either that or b

Step-by-step explanation:

Answer:

I'm pretty sure the answer is D

Answer:

22

Step-by-step explanation:

Let us interpret this problem;

        ---------------34-------------------

       P         Q       S      R            T

                    ----- 8 --------

        --------  --------- --------

             x        x         x

Let PQ = SQ = SR

Find RT;

    QS + SR = 8

    Also;

          x + x = 8

            2x = 8

              x = 4

To find RT;

    RT = PT - (PQ + QR)

   RT = 34 - (4 + 8) = 34 - 12 = 22

Answer:

22

Step-by-step explanation:

Answer:

66⁰ + x = 111⁰

x = 111⁰ - 66⁰

x = 45⁰

Answer:

First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.

So we can find 'y' by using 'linear pair'.

So Exterior angle 'E'+y=180 Degree.

=  111+y=180

By transposing: y=180-11

And y= 69 degrees.

And now have angles y & 'Angle G' we can use Angle sum property to find 'x'

THEREFOR, y+x+angle G=180 degrees.

=  69 degrees+66 degrees+x=180 degrees

=  135 degrees+x=180 degrees

by transposing,

x= 180 degrees-135 degrees

And, x= 45 degrees

BY USING EXTERIOR ANGLE PROPERTY.

ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"

So, Exterior Angle E= x+ Angle G

=  111 degrees= x+ 66 degrees

By transposing, x= 111 degrees-66 degrees

=  x=45 degrees.

So no matter whichever method is used, the value of x= 45 degrees.

Answer:

10

Step-by-step explanation:

Given coordinates:

       (-1,0) and (5, -8)

Unknown:

Distance between the two endpoints = ?

Solution:

     (-1,0) and (5, -8)

The equation for solving this problem is shown below;

      Distance  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]

x₁  = -1      y₁ = 0

x₂  = 5      y₂  = -8

      Distance  = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex]   = 10

The distance between the two points is 10.

Answer:

-28

Step-by-step explanation:

Answer:

that all depends on the car mileage, say she gets 20 mpg itd be 20x22