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Simplifying

2x + -7 = 3x + 5

Reorder the terms:

-7 + 2x = 3x + 5

Reorder the terms:

-7 + 2x = 5 + 3x

Solving

-7 + 2x = 5 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-7 + 2x + -3x = 5 + 3x + -3x

Combine like terms: 2x + -3x = -1x

-7 + -1x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0

-7 + -1x = 5 + 0

-7 + -1x = 5

Add '7' to each side of the equation.

-7 + 7 + -1x = 5 + 7

Combine like terms: -7 + 7 = 0

0 + -1x = 5 + 7

-1x = 5 + 7

Combine like terms: 5 + 7 = 12

-1x = 12

Divide each side by '-1'.

x = -12

Simplifying

x = -12

Answer:

Number of movies for equal wage = 20

Step-by-step explanation:

Assume;

Number of movies for equal wage = x

So,

75 + 2x = 5.75 x

3.75 x = 75

x = 75 / 3.75

x = 20

So,

Number of movies for equal wage = 20

Answer:

5.5 x 105 = 577.5

2.5 x 104 = 160

Step-by-step explanation:

Step-by-step explanation:

5.5×104=577.5

2.5×104=206

Answer: No, Titus is incorrect.

Step-by-step explanation: Two shapes are congruent when they have the same size and shape, but one is created of rotation, reversion or translation of the other.

So, hexagons FEDCBA and F'E'D'C'B'A' are congruent because they have the same size and shape, however they are reversed and translated from each other, i.e.:

Comparing the coordinates of both hexagons:

F (-6,6) → F' (6, -4)

A (-10,6) → A' (10,-4)

E (-4,4) → E' (4, -6)

B (-12,4) → B' (12, -6)

D (-6,2) → D' (6, -8)

C (-10,2) → C' (10, -8)

We notice that the transformation necessary to transform FEDCBA into F'E'D'C'B'A' is

Therefore, it is (x,y) → ( -x, y-10).

So, Titus is incorrect about the transformations that prove the hexagons are congruent.

Answer:

10.4

Step-by-step explanation:

4.25 +3.4 + 2.75

Answer:

0=15-21.5

Step-by-step explanation:

21.5=15

0=15-21.5

Answer:

10) m = rise/run = 3/4    11) y = 2x - 3

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

> 117 is greater than 17

Answer:

D.

Step-by-step explanation:

Answer:

60,000, 60, 6.

Step-by-step explanation:

just separate the numbers into sections and boom

Answer:

Bill will have 257 candy bars left!

Step-by-step explanation:

just do 300 - 43

Answer:

Width = 7, Length = 42

Step-by-step explanation:

Length is 6 times its width, means that it's the same number but times 6 so we'll use "x" for both length and width:

6x · x = 294

6x^2 = 294

divide both sides by 6

x^2 = 49

[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{49}[/tex]

x = 7, width is 7 and length is 6(7) = 42

Answer:

c

Step-by-step explanation:

hoped it helped you:)))

The number when divided by 43 has a quotient of 3 with 28 as a remainder is 157

The number is 157

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be = A

Now , the equation will be

A number divided by 43 has a quotient of 3 with 28 as a remainder

So , A / 43 = 3 + 28/43   be equation (1)

On simplifying the equation , we get

A / 43 = 3 + 28 / 43

A/43 = ( 3 x 43 + 28 ) / 43

Multiply by 43 on both sides of the equation , we get

A = 3 x 43 + 28

A = 129 + 28

A = 157

Therefore , the value of A is 157

Hence , The number when divided by 43 has a quotient of 3 with 28 as a remainder is 157

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Answer:

w will be less than 75.

Step-by-step explanation:

Given the expression;

75/w = 150/100

We are to determine whether w is greater than or less than 75.

If you look at the right hand side of the expression, 150/100, you will see that the denominator is greater than the numerator. Due to the equality sign between the fractions, the same will be applicable to 75/w meaning that w will also be less than 75.

Answer:

Step-by-step explanation:

It may be easier to find the sum, then "rationalize" the denominator.

  [tex]\dfrac{2i}{2+i}-\dfrac{3i}{3+i}=\dfrac{2i(3+i)-3i(2+i)}{(2+i)(3+i)}=\dfrac{6i+2i^2-6i-3i^2}{6+5i+i^2}\\\\=\dfrac{1}{5+5i}=\dfrac{5-5i}{(5+5i)(5-5i)}=\dfrac{5-5i}{25+25}=\dfrac{5-5i}{50}\\\\=\boxed{0.1-0.1i}[/tex]

__

Of course, it doesn't hurt to have a suitable calculator.

Answer:

24

Step-by-step explanation:

Do the equation in the () first, 8+4 = 12, and 12 x 2 = 24

answer TRUE because they would make a triangle

Answer:

5 pints is equal to 10 cups

Step-by-step explanation:

Answer:

Interest earned: $150.85

Total amount: $850.86

Step-by-step explanation:

Y=700(1.05)^4

Put the right side of the equation into a calculator and get

850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85

Answer:

Step-by-step explanation:

Trust me - 19

Answer:

Lollll unless this isn't a joke it's 19, if it is a joke then it's 21

Answer:

HEEYYYY

Step-by-step explanation:

THANK YOU SO MUCH!!! :)

Answergbshrkghjgfsgsfg

Step-by-step explanation:

sgsfgafgfgfgffg

Answer:

4 and 10 - acute

2 is acute, but 3 is obtuse

8 and 12 - acute

6 and 12 - acute

1 is obtuse 2 is acute

15 and 11 are obtuse

9 is obtuse but 8 is acute

2 and 4 are acute.

Step-by-step explanation:

I believe this is correct.

A right angle is a perfect corner. Think of a square and look at the corner, it doesn't go farther or shorter when it hits a side if you know what I mean by that. An acute angle is shorter than a right angle, or stops before it can be called a right angle. An obtuse angle is bigger than a right angle, or ends after the right angle point. I hope what I have just said here helps you with future problems!! Good luck :))

Answer:

8 , - 4 , 1

Step-by-step explanation:

Coefficient of 8x³    = 8

Coefficient of (-4x²) = -4

Coefficient of x = 1

(-inf, 1]

Personal comment

Sorry this took so long

In short, you had it flipped, always put your smallest value first and your largest value second.

Reason:

Interval notation is

[(minima, maxima)]

Which is basically saying the minimum and the maximum, and as such you always end up having the smallest value first.

Putting the reasoning together;

A negative is always less than a positive in practice, therefore, your negative infinity should go first.

Hope this helps :)

♡ The Question ♡      

A scale model drawing of a room is 4 centimeters wide and 12 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.4 meters.  

What is the area of the actual room?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

23.52 m² !  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

The actual area of the room will be 23.52 m².

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Width of room = 4 cm

Length of room = 12 cm

And, The scale model uses a scale in which 2 centimeters represents 1.4 meters.

Now,

Since, The scale model uses a scale in which 2 centimeters represents 1.4 meters.

That is,

2 cm = 1.4 m

1 cm = 0.7 m

So, The width of room = 4 cm

                                   = 4 x 0.7 m

                                   = 2.8 m

And, The length of room = 12 cm

                                      = 12 x 0.7 m

                                      = 8.4 m

Thus, The actual area of room = Length x Width

                                               = 8.4 x 2.8 m²

                                              = 23.52 m²

Therefore, The actual area of the room will be 23.52 m².

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