What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x + 2 ) ?

Step-by-step explanation:

Let x be the width of the uniform strip floor around the rug.

Then the width of the rug is (21 - 2x) and the length of the rug is (29 - 2x).

(21 - 2x)(29 - 2x) = 345

609 - 100x + 4x^2 = 345

4x^2 - 100x + 264 = 0

x^2 - 25x + 66 = 0

(x - 22)(x - 3) = 0

x = 3 or x = 22 (rejected as x must be less that the width of the room)

Hence the width of the rug is 21 - 2(3) = 15 feet and the length of the rug is 29 - 2(3) = 23 feet.

Answer:

table b

Step-by-step explanation:

table b is the answer

$2,240.75

Step-by-step explanation:

just multiply each tune up price by the amount she worked on within that week and add them all up

The charges for the week, including 35 oil changes and tune-ups for 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines, amount to $2308.25.

To calculate the charges for the week, we need to find the total cost for both oil changes and tune-ups.

Charges for Oil Changes:

Charlene did 35 oil changes, and each oil change costs $33.95. So the total charges for oil changes can be calculated as follows:

Total charges for oil changes = Number of oil changes * Cost per oil change

Total charges for oil changes = 35 * $33.95

Total charges for oil changes = $1183.25

Charges for Tune-ups:

For the tune-ups, she serviced 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines. Let's calculate the total charges for each type of engine and then add them together.

Total charges for four-cylinder engine tune-ups = 5 * $72.50 = $362.50

Total charges for six-cylinder engine tune-ups = 7 * $82.50 = $577.50

Total charges for eight-cylinder engine tune-ups = 2 * $92.50 = $185.00

Total charges for all tune-ups = $362.50 + $577.50 + $185.00 = $1125.00

Total Charges for the Week:

Now, let's find the total charges for the entire week by adding the charges for oil changes and tune-ups:

Total charges for the week = Total charges for oil changes + Total charges for all tune-ups

Total charges for the week = $1183.25 + $1125.00 = $2308.25

The charges for the week, including 35 oil changes and tune-ups for 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines, amount to $2308.25.

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Answer: the answer is 4

Step-by-step explanation:

2/3 / 1/6

change the places of 1/6 to 6/1

2/3 / 6/1

the division sign changes to multiplication

2/3 * 6/1

cancel out the 3 and 6 to give

2/1 *  2/1

=4

Answer:

KF = 35

Step-by-step explanation:

Since it's a line with K in the middle, we know that the distance SF is the same as SK + KF.

(Start at S, first go to K, then continue to F. You've traveled the same distance as from S to F.)

SF = SK + KF

Let's put in the values we got.

5x + 2 = 27 + (3x -1)

Opening the parenthesis.

5x + 2 = 27 + 3x - 1

5x + 2 = 26 + 3x

Now let's subtract 3x from both sides.

2x + 2 = 26

Now, subtract 2 from both sides.

2x = 24

If we divide by 2...

x = 12

We know that...

KF = 3x -1

Since x is 12, let's put that in.

KF = 3 * 12 - 1 = 36 - 1 = 35

Answer: KF is 35 !

Answer:

AC= 22

Step-by-step explanation:

see photo

The numerical length of AC is 22 units.

In geometry, a line segment is a part of a line that is bounded by two distinct end points,and contains every point on the line that is between its endpoints.

Now it is given that,

Point B is on line segment AC

AB = 4x-6

AC = 2x+10

BC = 4

now since Point B is on line segment AC, therefore

AC = AB + AC

⇒ 2x + 10 = 4x - 6 + 4

⇒ 2x + 10 = 4x - 2

⇒ 2x = 12

⇒ x = 6

Put the value of x in AC, we get

AC = 2(6) + 10

or, AC = 12 + 10

or, AC = 22 units.

Hence, the numerical length of AC is 22 units.

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Answer:

17

Step-by-step explanation:

|-9-8|

Solve what is inside the absolute value

|-17|

Then take the non negative result

17

Answer:

17

Step-by-step explanation:

The answer is 17 there u go

Answer:

j

Step-by-step explanation:n

Answer:

x= y-4/18

y=18x+4

Step-by-step explanation:

I hope this helps you

The triangle is an isosceles and an obtuse triangle

A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.

In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle

The three types of Isosceles Triangles are :

Isosceles acute triangle

Isosceles right triangle

Isosceles obtuse triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of ∠ABC = 120°

So , it is an obtuse triangle with angle > 90°

Now , the measure of sides AB = measure of BC

So , an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base

Therefore , it is an Isosceles obtuse triangle

Hence , the triangle is isosceles

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Answer:

x= 7

Step-by-step explanation:

add (12x+1) and (5x-3) which becomes 17x-2 and then set that equal to 117 and solve. move the 2 to the right side of the equation which becomes 17x=119 and then divide 119 by 17 which x equals 7.

plug in 7 for x to make sure you get 117

Answer:

Step-by-step explanation:

The length of a line segment or the distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,2) and G(146,52)

The the length of the line segment joining the points is

[tex] |JG| = \sqrt{ ({ - 4 - 146})^{2} + ({2 - 52})^{2} } \\ = \sqrt{ ({ -150})^{2} + ({ -50})^{2} } \\ = \sqrt{22500 + 2500} \\ = \sqrt{25000} \\ = 50 \sqrt{10} \\ = 158.11388[/tex]

We have the final answer as

Hope this helps you

Answer:

x = 26

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (x - 2) = [tex]\frac{1}{5}[/tex] (x + 4) + 2

Multiply through by 15 to clear the fractions

5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides

5x - 10 = 3x + 12 + 30, that is

5x - 10 = 3x + 42 ( subtract 3x from both sides )

2x - 10 = 42 ( add 10 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

Answer:

v is less than negative 8

Step-by-step explanation:

-8 and -6 is -14 so it has to be less than -8 to be greater than -14

Answer:

The answer is 3.2.

Step-by-step explanation:

Answer:

the statement above is false a

Step-by-step explanation:

3.2 is greater than 3.072

Answer:

C

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]x^{4}[/tex] + 7 ( subtract 7 from both sides )

y - 7 = [tex]x^{4}[/tex] ( take the fourth root of both sides )

[tex]\sqrt[4]{y-7}[/tex] = x

Change y back into terms of x where x is g(x)

g(x) = [tex]\sqrt[4]{x-7}[/tex] , x ≥ 7

Answer:

please like it wild be a lot to me

Step-by-step explanation:

ddyruxcdgjkgd cycrlcrylruclvtistnugfsjvdsnhcd

Answer:

m = 0.449

Step-by-step explanation:

Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS.

PEMDAS is the order of operation & =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 2.4 from both sides:

2.4 (-2.4) + 10m = 6.89 (-2.4)

10m = 6.89 - 2.4

10m = 4.49

Divide 10 from both sides:

(10m)/10 = (4.49)/10

m = 4.49/10

m = 0.449

0.449 is your answer for m.

~

Answer:

m = 0.449

Step-by-step explanation:

[tex]2.4+10m=6.89\\\\\mathrm{Subtract\:}2.4\mathrm{\:from\:both\:sides}\\2.4+10m-2.4=6.89-2.4\\\\Simplify\\10m=4.49\\\\\mathrm{Divide\:both\:sides\:by\:}10\\\frac{10m}{10}=\frac{4.49}{10}\\\\Simplify\\m=\frac{4.49}{10}\\\\\left(\mathrm{Decimal}:\quad m=0.449\right)[/tex]

what is your question repet otherwise I will say you

Answer:

The third answer

Step-by-step explanation:

?+12=7

subtract 12 from 7

you get -5

then to make sure the answer is right you take -5 and add 12, then you will get 7

Answer:

Step-by-step explanation:

y + 3 < -1

y < -4

Answer: -19

Step-by-step explanation:

-15-4=-19 olur. İyi dersler!

First, combine like terms on the right side.

[tex]5+2+4y=4y+7[/tex]

Since these are the exact same line, any x value you input will get you the same y value, meaning that there is an infinite number of solutions.

Hope this helps.

頑張って!

Answer:

This equation has infinite solutions

Step-by-step explanation:

3t + 5 + t = 5 + 4t

4t + 5 = 4t + 5

4t = 4t

t = t

Infinite solutions

Answer:

3t+5+t=5+4t.

3t+t-4t=5-5.

0=0.

The answer is 0

Answer:

Profit earn 1st year = $102,300.26

Profit earn 2nd year = $511,501.3

Step-by-step explanation:

Given:

Total profit earn = $613801.5599999999 = $613801.56

Find:

Profit earn each year

Computation:

Assume,

Profit earn 1st year = x

Profit earn 2nd year = 5x

Total profit earn = Profit earn 1st year + Profit earn 2nd year

x + 5x = 613,801.56

6x = 613,801.56

x = 102,300.26

Profit earn 1st year = $102,300.26

Profit earn 2nd year = 5x = 5(102,300.26)

Profit earn 2nd year = $511,501.3

Answer:

[tex]\sqrt{89}[/tex]

Step-by-step explanation:

You want to use the distance formula which is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

So if you just plug in the numbers correctly and solve correctly then you should get [tex]\sqrt{89}[/tex]

Answer:

c=(1,-8)

d=(7,-8)

e=(7,0)

f=(1,0)

Step-by-step explanation:

It super simple, just just move each point to the right 5 lines/units, and up 2 lines/units.

The coordinates of the vertices after a translation 5 units right and 2 units up. C =(1,-8), D =(7,-8), E =(7,0) and F =(1,0)

Suppose the graph is drawn on the coordinate plane.

Let the shifting be (x,y) → (x+a, y+b)

Then, add 'a' to all x coordinates of the graph's points. Add 'b' to all y coordinates of the graph's points.

The resultant set of new points will be plotted.

Thus it is called origin shift since we think of it as the origin was picked and placed at the point (a,b)(in this case) along with those two axes (x and y axes) and now everything will be measured from this new axes' frame.

Therefore, the coordinates of the vertices after a translation 5 units right and 2 units up.

C =(1,-8)

D =(7,-8)

E =(7,0)

F =(1,0)

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Answer:

[tex](\frac{1}{k} )^{10}[/tex]

Step-by-step explanation:

When making a negative a positive, all you need to do is flip it, in this case, making it a fraction.

~theLocoCoco