Solve the equation.
2(3x – 1) = 5 – (x + 3)

Answers

Answer 1

Answer:

x = 4/7

Step-by-step explanation:

[tex]2\left(3x-1\right)=5-\left(x+3\right)\\\\\mathrm{Expand\:}2\left(3x-1\right):\quad 6x-2\\\\\mathrm{Expand\:}5-\left(x+3\right):\quad -x+2\\6x-2=-x+2\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\6x-2+2=-x+2+2\\\\Simplify\\6x=-x+4\\\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\6x+x=-x+4+x\\\\Simplify\\7x=4\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}=\frac{4}{7}\\\\x=\frac{4}{7}[/tex]

Answer 2

Answer:

x = 4/7

Step-by-step explanation:

2(3x – 1) = 5 – (x + 3)

Distribute

6x -2 = 5 -x -3

Combine like terms

6x -2 = 2-x

Add x to each side

6x +x -2 = 2-x+x

7x -2 = 2

Add 2 to each side

7x-2+2 =2+2

7x =4

Divide by 7

7x/7 = 4/7

x = 4/7


Related Questions

(-5,-4) rotated 270° counterclockwise

Answers

Answer:

(4, - 5 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ) , thus

(- 5, - 4 ) → (4, - 5 )

. If a car can travel 38 miles on 2.4 gallons of gas, how many miles could the car travel on 6 gallons of gas?


I forgot how to do this
so if you could also explain with your answer please​

Answers

Answer:

About 95 miles

Step-by-step explanation:

Let's set up a proportion using the following set up:

miles / gallons = miles / gallons

We know the car can travel 38 miles on 2.4 gallons of gas.

38 miles / 2.4 gallons = miles/ gallons

We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.

38 miles / 2.4 gallons = x miles /6 gallons

38/2.4=x/6

We want to find x (miles for 6 gallons). Therefore, we must isolate x.

x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.

6*(38/2.4)=(x/6)*6

6*(38/2.4)=x

6*15.8333333=x

94.9999998=x

Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.

95 ≈x

x ≈95 miles

The car can travel about 95 miles on 6 gallons of gas.

Solve for x: -2x + 5 < 7​

Answers

Answer:

[tex]x>-1[/tex]

Step-by-step explanation:

Solve for x: [tex]-2x+5<7[/tex]

To solve this inequality, we must minus 5 from both of the sides.

[tex]-2x+5-5<7-5[/tex]

This equals

[tex]-2x<2[/tex]

Now we'll make this into a fraction and divide both sides by -2.

[tex]\frac{-2x}{-2} <\frac{2}{-2}[/tex]

After we divided, we got our answer.

[tex]x>-1[/tex]

Hope this helps!

22.2 repeating percent as a decimal and fraction

Answers

Answer:

  0.222(repeating) = 2/9

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100%.

  22.2%(repeating)/100% = 0.222(repeating)

__

To convert a repeating decimal to a fraction, first multiply it by 10 the the power that is equal to the number of repeating digits. Here, we have 1 repeating digit, so ...

  x = 0.222(repeating)

  10^1 · x = 10x = 2.222(repeating)

Now subtract the original. The repeating parts cancel.

  10x -x = 2.222(repeating) - 0.222 repeating = 2

  9x = 2

  x = 2/9 . . . . . divide by the coefficient of x

The decimal is 0.222(repeating).

The fraction is 2/9.

The quotient of 64 and x

Answers

Answer:

[tex]\frac{64}{x}[/tex]  quotient means you divide

Step-by-step explanation:

Write a word phrase for the algebraic expression: d/5 + 2 A)The difference between the quotient of d and 5 and 2 B)The sum of 2 and the product of d and 5 C)The difference between 2 and the product of d and 5 D)The sum of the quotient of d and 5 and 2 ANSWER QUICK

Answers

Answer:

My answer to the question is option D

Let f(x) = x2 − 8x + 5. Find f(−1).

Answers

Answer:

14

Step-by-step explanation:

[tex]f(x)=x^2-8x+5\\f(-1)=(-1)^2-8(-1)+5\\f(-1)=1+8+5\\f(-1)=14\\[/tex]

The left and right page numbers of an open book are two consecutive integers whose sum is 321
  Find these page numbers.

Answers

Answer:

160,160

Step-by-step explanation:

let the first page be X

second one be x+1

x+x+1=321

2x=320

x= 320÷2=160

pages 160 161

the inequality and express your answer in interval notation.
x^2-12x+5<0

need this asap

Answers

Answer:x^2-12x+5<0= 6

hope it helps :)

Use the figure to answer the question.
9 cm
10 cm
18 cm
9 cm
4 cm
10 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters

Answers

Answer:

1,530 cm³

Step-by-step explanation:

The figure consists of two rectangular prism or cuboid.

The dimension of cuboid 1:

[tex] l = 10cm, w = 9cm, h = 9cm [/tex]

[tex] Volume_1 = l*w*h = 10*9*9 = 810 cm^3 [/tex]

The dimension of cuboid 2:

[tex] l = 18cm, w = 10cm, h = 4cm [/tex]

[tex] Volume_2 = l*w*h = 18*10*4 = 720 cm^3 [/tex]

Volume of the figure = 810 + 720 = 1,530 cm³

Answer: 1,530

Step-by-step explanation:

What is the least number divisible by 2,3,5, 9,10?

Answers

Answer:

If you mean the Lowest Common Multiple (LCM) then the answer is 30.

But if you mean the lowest number that can be divided by 2, 3, and 5 then the answer is -∞ because any given number can be divided by any number except 0.

Hoped I helped

Can I get a brainiest

Answer:

If you mean what is the smallest number divisible by 2, 3, 5, 9, and 10, then I have no idea, sorry. :'(

Step-by-step explanation:

Steve has 84 basketball cards,which is 7 times as many as claire.Claire buys 63 more cards,if b is the number of cards that claire has now then what is the value of b

Answers

Answer: Value of B= 75  Basketball cards

Step-by-step explanation:

STEP 1

let number of cards Steve has be =a

let number of cards Claire has be =b

STEP 2

Steve has a= 84 basketball cards

Claire has 7 times less than Steve = 84 /7 = 12=b

STEP 3

if Claire buys 63 more cards

The present value of card Clare now has = 12 +63 = 75 basket ball cards=b

let f(x)=x-3and h(x)=x2+6.what is (h⁰g)(1)​

Answers

Answer:

The answer is 10 .

Step-by-step explanation:

f(x) = x-3

h(x) = [tex]x^{2} +6[/tex]

Now ,

  hog(1)

=h (1-3)

=h (-2)

= [tex](-2)^{2}[/tex] +6

= 4+6

= 10

Expresa en lenguaje algebraico la expresión: Dimensiones de un rectángulo en el que su largo tiene 6 metros más que el ancho.

Answers

Answer:

Expresa la expresión en lenguaje algebraico: Dimensiones de un rectángulo en el que su longitud es 6 metros más que su ancho.

Sea la longitud representada por ly el ancho por w

entonces ; l = 6 metros + w

Step-by-step explanation:

Identify the missing factors:

d) 20 = (4) (?)
e) -14x = (7)(?)
f) x3 =x2 (?)

Answers

Ur solution is in the attachment.

Answer:

d)  ? = 5

e)   ? = -2x

f)    ? = x

Step-by-step explanation:

d) 20 = (4)(?)

    20/4 = ?

     5 = ?

    Check:

    20 = 4*5

e)   -14x = (7)(?)

     -14x/7 = ?

      -2x = ?

      Check:

      -14x = 7*-2x

f)    x³ =x² (?)

      x³/x² = ?

      x³⁻² = ?

      x¹ = ?

       x = ?

      Check:

     x³ = (x²)(x)      

what is X in the equation. -38+6x = -12x+52

Answers

Answer:

x=5

Step-by-step explanation:

add 38 to to the pther side

combine 38+52=90

add 12 to the other side

12+6=18

divide 90 by 18= 5

What is the area of the triangle pls help

Answers

Answer:

Area of a triangle =1/2bh.

1/2×8×10=40cm^2.

HELP PLEASE!!!!!! ONLY HAVE 40 MINUTES

Answers

Answer:

B. f(x) domain: x ≥ 1

f–1(x) range: y ≥ 1

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of and the range of f(x) will be the domain of

As can be seen from the attached photo,

f(x) extends to the right of x=1, so its domain is x ≥ 1.

<=> range is y≥ 1.

Therefore, we choose answer B

Hope it will find you well.

(I found this somewhere else)

7-(-19)-18+(-19)+18​

Answers

Answer:

My answer is

7+9-18-19+18= -3.

The right answer is -3

Enter an integer to represent the situation. an elevator ride down 34 stories

Answers

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So you already know that 34 is 34 stories in length.

Positive means: up, forward

Negative means: down, backward

Since the elevator is going down 34 stories, it is negative.

An elevator ride down 34 stories can be represented as -34 or negative 34.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The required  integer is -34.

It is required to find the integer.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

Positive means: up, forward

Negative means: down, backward

Since the elevator is going down, the situation is represented by a negative integer. Since it goes down 34 stories, then it is represented by the integer −34.

Therefore, the required  integer is -34.

Learn more details about integer here:

https://brainly.com/question/15276410

#SPJ2

Solve the following equation algebraically 2x ^ 2 = 50

Answers

Answer:

x=5

Step-by-step explanation:

[tex]2 {x}^{2} = 50[/tex]

[tex] {x}^{2} = \frac{50}{2} [/tex]

[tex] {x}^{2} = 25[/tex]

[tex]x = \sqrt{25} [/tex]

[tex]x = 5[/tex]

Marquetta makes necklaces. Her cost for materials is $4.50 per necklace. She charges that plus a 64% markup. How much does Marquetta charge for a necklace?​

Answers

Answer:

Step-by-step explanation:

Fat fat fat fat jfjfjfjfjfjfjfmfmfkfkfmfkfmjfmf

a college admissions office collects data from each incoming freshman on several quantitative variables distance from their home to campus, number of siblings, how many books they have read in the past month and how long it took them to complete an online survey. classify each variable as discrete or continuous

Answers

Answer:

1) Distance from their home to campus → Continuous

2) The number of siblings → Discrete

3) How many books they have read in the past month → Discrete

4) How long it took them to complete an online survey → Continuous

Step-by-step explanation:

A discrete variable is a variable with a constant value which is found to be accurate by counting of articles in the subject.

Examples of discrete variables are the amount of money in a person's pocket, the number of people in a bus

A continuous variable is one that is a variable that if it is possible for the variable  to have values between two values, then the variable can have any of the values in between the two values

Example of a continuous variable are

The Height of people within a building

The distance traveled to a location.

Therefore, we have the following classification of the data is given as follows;

1) from their home to campus is a Continuous variable

2) The number of siblings is a  Discrete variable

3) How many books they have read in the past month is a Discrete variable

4) How long it took them to complete an online survey is a Continuous variable.

Help meeeee plsssssssssssss

Answers

Answer:

Im pretty sure its 27

Step-by-step explanation:

3×3×3

(Oop i did it wrong lolll)

27 is the correct answer

make x the subject of 5(x-3) = y(4-3x)

Answers

Answer:-

5(x-3)=y(4-3x)

5x-15=4y-3xy

5x+3xy=4y+15

x(5+3y)=4y+15

x=>(4y+15)/(5+3y)

:)

Answer:

Step-by-step explanation:

5(x - 3) = y(4 - 3x)

Use distributive property

5*x - 5*3 = y*4 - y*3x

5x - 15   = 4y - 3xy

5x  = 4y -3xy + 15

5x + 3xy = 4y +15

x(5 + 3y) = 4y +15

x = [tex]\frac{4y+15}{5+3y}[/tex]

Point U is on line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6,
determine the numerical length of TV.

Answers

Answer:

TV = 12

Step-by-step explanation:

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

3x + 6

= 3(2) + 6

= 6 + 6

= 12

The numerical value of TV will be 12.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that Point U is a line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6.

The numerical value of TV will be calculated as below:-

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, and constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

TV = 3x + 6

TV = 3(2) + 6

TV = 6 + 6

TV = 12

Therefore, the numerical value of TV will be 12.

To know more about line segments follow

brainly.com/question/3573606

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How much more juice than water is needed to make the rainbow pop? (i need help with this, there are only ten minutes letf!)

Answers

Answer:

6/8 - 4/8= 2/8=1/4 cup

Hope it helps!

Find The Area of triangle ABC


a. 27 square units
b. 18 square units
c. 54 square units
d. 36 square units ​

Answers

Answer:

b.  area = 18 square units

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 1/2 (6+3) + (6-2)

area = 1/2 * 9 * 4

area = 18 square units

therefore the answer is b.

X + Y is equal to 5 x minus Y is equal to 4 find the value of find the value of x square minus y square ​

Answers

Answer: 20

Step-by-step explanation:

x+y=5

x-y=4

---------

x+y=5

x=4+y

--------

(4+y)+y=5

4+y+y=5

 4+2y=5

      2y=1

        y=0.5

        x=4.5

---------

x²-y²=(4.5)²-(0.5)²=20.25-0.25=20

Find x if f(x) = 2x + 7 and f(x) = –1.

1 = x
-4 = x
O = x
-2 = x

Answers

The answer to this question is the second one

x=-4
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