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Match the equivalent expressions.
x − 4x + 6y + (14x − 5y)
7x + y
11x + y
3x + 3y + 2(2x − y)
7x − 8y
(5x − 3y) − x + 3x − 5y
4(x + y) − 3(x + y)
5(x + y) + 6(x − y)
11x − y

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Answers

Answer 1

The given expressions and their equivalent expressions are:

x − 4x + 6y + (14x − 5y) ==> 11x + y3x + 3y + 2(2x − y) ==> 7x + y(5x − 3y) − x + 3x − 5y ==> 7x - 8y4(x + y) − 3(x + y) ==> x + y5(x + y) + 6(x − y) ==> 11x - y

What are Equivalent Expressions?

Equivalent expressions are expressions that have the same value when evaluated or when you simplify each of them.

Let's evaluate and simplify each of the given expressions:

x − 4x + 6y + (14x − 5y)

Open bracket

x - 4x + 6y + 14x - 5y

Combine like terms

11x + y

Therefore, x − 4x + 6y + (14x − 5y) is equivalent to 11x + y

3x + 3y + 2(2x − y)

Open bracket

3x + 3y + 4x - 2y

Combine like terms

7x + y

Therefore, 3x + 3y + 2(2x − y) is equivalent to 7x + y.

(5x − 3y) − x + 3x − 5y

5x - 3y - x + 3x - 5y

7x - 8y

Therefore, (5x − 3y) − x + 3x − 5y is equivalent to 7x - 8y.

4(x + y) − 3(x + y)

4x + 4y - 3x - 3y

x + y

Therefore, 4(x + y) − 3(x + y) is equivalent to x + y.

5(x + y) + 6(x − y)

5x + 5y + 6x - 6y

11x - y

Therefore, 5(x + y) + 6(x − y) is equivalent to 11x - y.

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Answer 2

Answer:

CORRECT

Step-by-step explanation:


Related Questions

Pls help 7th grade math

Answers

Answer:

Lucy, Jenny, Dan, Terry

Step-by-step explanation:

Question 4
There are 15 members in a bicycle club this fall. By next summer, Ming hopes the number of members will be 140% of this number. What is
Ming's goal for the number of members next summer?

Answers

Ming's goal for the projected number of members next summer is the product of percentage increase and the current number of members, which is 21

Given the Parameters :

Present number of members in club = 15

Expected percentage rise = 140%

The projected number of members next summer can be calculated thus :

Current number × Expected percentage rise

15 × 140%

15 × 1.4 = 21

Therefore, Ming expects to see the number of members rise to 21 next summer.

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Answer:

It's 36 :)

Step-by-step explanation:

Solve -4x <_-8. Graph the solution.

Answers

Answer:

B

Step-by-step explanation:

-4x <_ -8

x <_ -8 ÷-4

x <_ 2

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Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
O They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.

Answers

Answer: d- they are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

The statement best explains the relationship between lines FG and HJ is They are not perpendicular because their slopes are not negative reciprocals, the correct option is D.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

We are given that;

The graph of line FG and HJ

Now,

The slope of line FG can be found by using the points (-4, 1) and (0, -2):

m = (-2 - 1) / (0 - (-4)) = -3 / 4

The slope of line HJ can be found by using the points (-4, -2) and (0, 4):

m = (4 - (-2)) / (0 - (-4)) = 6 / 4 = 3 / 2

The slopes of lines FG and HJ are not negative reciprocals of each other, since -3/4 is not equal to -1/(3/2) or 2/3. So, lines FG and HJ are not perpendicular.

Therefore, the answer will be they are not perpendicular because their slopes are not negative reciprocals.

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how sq ft in a room 12 x 12

Answers

Answer:

[tex]\boxed{\fcolorbox{144 ft^{2} }}[/tex]

A party rental company has chairs and tables for rent. The total coast to rent 5 chairs and 6 tables is $65. The total coast to rent 3 chairs and 2 tables is $25. What is the coast to rent each chair and each table

Answers

Answer:

here this is the answer

106

Which statement best describes the graph

Answers

Answer:

Something with coordinates lines and negative and positive numbers.

Answer:

A graph is usually consisted with coordinates lines and negative and positive numbers. There must be a y axis and x axis.

Because you have not listed the statements, whatever statement is closest to this is the correct option.

Be an angel and halp mi pls

Answers

Answer:

The mean of the scores at the bowling game is D. 210

Hope this helped! :)

Answer:

Step-by-step explanation:

The mean is just the sum of terms divided by the number of terms.

m=(180+200+210+220+240)/5

m=210

What is the are a square with a side length of 3x + 4.

Answers

A=side^2
A=3x+4^2
A=3x+4•4
A=3x+16

What is 23x56÷67-68?
Hurry plz
Me give brainliest
Thanks in advance

Answers

Answer:

-48.4328358209

Step-by-step explanation:

hope this helps!!!

Answer:

If you meant 68-67 then it would be 1288

But if you meant 67-68 it is -1288

(I really hope this isn't hard to understand).

What are the coordinates of R'?
OR'(4-1)
OR'(-4,1)
OR (1.4)
OR'(-1,-4)

Answers

Answer:

OR' (-4,1)

Step-by-step explanation:

Answer is OR' (-4,1)

Hope it helps!

Please mark as brainliest and thanks!

Byeee!

4. Solve the equation, please type your steps and your work:
3x – 5 = -3

Answers

Answer:

2/3

Step-by-step explanation:

3x-5=-3

3x=-3+5

3x=2

x=2/3

solve the following problems

Answer:





Explanatoin:


Answers

Answer:
1) 121.7
2) 131.8
3) 106.2
4) 88.5
5) 90.3
6) 110.2

Explanation:
Don't worry about the decimals when adding since there all aligned just add like usual, straight through.

(Just because the question is already answered does not make it complete)

Show the work for the answer

x=³√27

x = 3

Answers

3x3x3=27 a cubed root means what number times itself 3x is 27 and that is 3

PLZ HELP PLZ HELP

SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONG


Length of student desk

Height of classrom'

Width of classroom door

Height of building
Length of a movie ticket

Answers

Answer:

c

Step-by-step explanation:

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

the answer is the 3rd one

what is this equation simplafied? 2(n+7)+8

Answers

Answer:

2n+22

Step-by-step explanation:

Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015

Answers

Answer:

The value of the house on 1st January 2015 was of $650,000.

Step-by-step explanation:

Decimal multipliers:

For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]

For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]

Rami bought a house on 1st January 2015.

For a value of x.

In 2015 the house increased in value by 15%.

This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]

In 2016 the house decreased in value by 8%.

This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]

On 1st January 2017 the value of the house was $687700.

The value of these multiplications is 687700.

What was the value of the house on 1st January 2015?

This is x, so:

[tex]x*1.15*0.92 = 687700[/tex]

[tex]x = \frac{687700}{1.15*0.92}[/tex]

[tex]x = 650000[/tex]

The value of the house on 1st January 2015 was of $650,000.

which alphabet is missing Y E W G U I​

Answers

Answer:

Almost all the letters are missing, 20 letters are missing

Step-by-step explanation:

A B C D F H I J K M N O P Q R S T V X Z

The missing alphabet between Y and W= X

The missing alphabet between W and U= V

The missing alphabet between E and G=F

The missing alphabet between G and I=H

What is alphabet?

An alphabet is a standardized set of basic written symbols or graphemes that represent the phonemes of certain spoken languages.

According to question, we have to find which alphabet is missing Y E W G U I​.

If we  find missing alphabet between bold alphabet  Y E W G U I​,

we get the following

The missing alphabet between Y and W= X

The missing alphabet between W and U= V

If we  find missing alphabet between bold alphabet Y E W G U I​,

we get the following

The missing alphabet between E and G=F

The missing alphabet between G and I=H

Hence , we can conclude that

The missing alphabet between Y and W= X

The missing alphabet between W and U= V

The missing  alphabet between E and G=F

The missing  alphabet between G and I=H

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What is the coordinate plane made up of two intersectioing lines

Answers

It is D - the origin

HELP MEEEE PLEASEEEEEEEEEEEEEE

Answers

Answer:

a = 4

Step-by-step explanation:

a^2 + b^2 = c^2

a= ?

b= 3

c= 5 (c is always the hypotenuse)

*plug in given values

a^2 + 3^2 = 5^2

a^2 + 9 = 25

-9 -9

a^2 = 16

*find the square root

sqrt(a) = sqrt(16)

a = 4

Answer:

a = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = a

Leg b = 3

Hypotenuse c = 5

Step 2: Solve for a

Substitute in variables [Pythagorean Theorem]:                                          a² + 3² = 5²[Subtraction Property of Equality] Isolate a term:                                         a² = 5² - 3²Evaluate exponents:                                                                                       a² = 25 - 9Subtract:                                                                                                          a² = 16[Equality Property] Isolate a:                                                                          a = ±4

Since we are dealing with a regular right triangle and not a quadrant triangle, we use the positive root.

∴ a = 4

let f(x)=x^2 +2 and g(x)=1-3x. find each function value: (fg)(-1)

Answers

Answer:

12

Step-by-step explanation:

so basically

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped :)

The correct value of (fg)(-1) is "12". A further solution of the given query is provided below.

Given functions are:

[tex]f(x) = x^2+2[/tex]

[tex]g(x) = 1-3x[/tex]

Now,

⇒ [tex](fg) = (x^2+2)(1-3x)[/tex]

By applying multiplication, we get

           [tex]=x^2+2-3x^3-6x[/tex]

           [tex]=-3x^3+x^2-6x+2[/tex]...(equation 1)

By substituting the value "-1" in place of "x" in equation 1, we get

⇒ [tex](fg)(-1) = -3(-1)^3+(-1)^2-(6)(-1)+2[/tex]

                  [tex]=-3(-1)+1+6+2[/tex]

                  [tex]=3+1+6+2[/tex]

                  [tex]=12[/tex]

Thus the right answer is (fg)(-1) = 12.

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What is an equation in slope-intercept form of the line that passes through the points (−2, −2) and (1, 7)? A. y=13x−43

Answers

Answer:

I Dont Know

Step-by-step explanation:

The Answer is: y=3x+4

60d+65n=2800
50d+45n=2150

Answers

From the second equation we can find that d=43-(9/10)*n
we can put this equation into the first one,
So we have equation 60(43-(9/10)*n)+65n=2800
Solving that we get n=20
60d+65*20=2800
d=25

So the answer is d=25 and n=20

What is the distance between the points (6,2) and (1,-5)


PLEASE ANSWER QUICK

Answers

Answer:

[tex]\displaystyle d = \sqrt{74}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract:                                                 [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add:                                                                                [tex]\displaystyle d = \sqrt{74}[/tex]

What is 74x56
Help fast I need it
Me will give brainliest
Thx in advance

Answers

Answer:

4144

Step-by-step explanation:

hope this helps

Answer:

the answer is 4,144

Step-by-step explanation:

If you divided a rectangle into ten smaller rectangles and
then each of THOSE into ten, each of the smallest
rectangles is

Answers

1/100 of the original rectangle

what is 41% of 53????

Answers

Answer:

21.73

Step-by-step explanation:

calculator

Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.

Answers

Answer:

.40 cents each.

Step-by-step explanation:

$3.20/8=.40

Solve for f

-5f +5 < 15

Question 1 options:

f < 8


f > -2


f = 3


f < 2

I NEED HELP ASAP

Answers

Step-by-step explanation:

step 1. -5f + 5 < 15

step 2. -5f < 10 (subtract 5 from each side)

step 3. f > -2 (divide both sides by -5 - dont forget to flip arrow when dividing by a negative number).

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