Simplify the expression by arranging the steps in sequence, based on the order of operations.

Simplify The Expression By Arranging The Steps In Sequence, Based On The Order Of Operations.

Answers

Answer 1

Answer:

[tex]\displaystyle 6x - 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)[/tex]

Step 2: Simplify

Distribute:                           [tex]\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)[/tex]Multiply:                              [tex]\displaystyle 5x + 4 - 9 + x[/tex]Rearrange:                          [tex]\displaystyle 5x + x + 4 - 9[/tex]Combine like terms:          [tex]\displaystyle 6x - 5[/tex]

Related Questions

A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?

Answers

Answer:

no, three one way tickets are cheaper by 0.40 cents

Step-by-step explanation:

A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?

My explanation; 1.60+1.60= 3.20+1.60=4.80. so three one way trips will equal out to be 4.80, while a day pass is 5.20.

The width of the rectangle is 40% of its length. What is the area of the rectangle?

A rectangle. The length is 20 feet.

Answers

Answer:

160in²

Step-by-step explanation:

40% = 0.4 = 4/10

The length is 20, 40% of that is (0.4)(20) = 8in

Length * width . = 20*8 = 160in²

The width of the rectangle is equal to 8 feet.

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the width of the rectangle is 40% of its length.

The width will be calculated as,

W = 0.4 x L

W = 0.4 x 20

W = 8 feet

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The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.

Answers

Answer:

Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Step-by-step explanation:

Both Shawn and Brielle are correct, because the absolute value has the following property:

[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]

Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.

Answer:

Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

Step-by-step explanation:

Sample Answer on Edge

Someone help ASAP PLEASE

Answers

Answer: 7 1/2 minutes

Answer:

7.5 mins.

Step-by-step explanation:

We know the unit rate is 1.5 mins for 1 km. So we can just multiply both numbers by 5.

1.5/1 = 7.5/5

It takes a shark 7.5 (7 1/2) minutes to swim 5 km.

What is the slope of the line whose equation is y=3/5x-4

Answers

Slope-intercept form:

y = mx + b

Your equation in slope-intercept form (which you already have :)):

y = 3/5x - 4

So your slope is m = 3/5

Do you need help finding the y-intercept or x-intercept? I hope this helps and answers your question! Have a lovely day!

1. A television is advertised for sale at 33% off. The original price is x dollars. (a) Write two different equivalent expressions to represent the sale price of the TV. (b) What do the two different expressions reveal about the relationship between the sale price and the original price? Answer:

Answers

Answer:

1. (a) x-0.33x and 0.67x

1. (b) The differences between the two is the expression and the variable (x) are in difference place.

2. (a) 7h

2. (b) 5h

2. (c) I'm not complete sure but I assume you add 7h and 5h but add a expression using those numbers and variable.

Step-by-step explanation:

~~I hope this helps~~

I'm sorry if it's late. I go to 12k as well, I'm in 7th grade. :)

Parallelogram ABCD is a square. The length of side BC = x +4 and the perimeter of ABCD = 80, what is the length of side BC?

Answers

Answer: 20

Step-by-step explanation: ABCD Equals 80 so each side would be 20. 20 , 40 , 60 , "80".

Answer:

the answer is 20 i got it right on the test

Step-by-step explanation:

Divide 18 and 904 please I don’t want to be wrong

Answers

Answer:

452/9 or 50 2/9

Step-by-step explanation:

I don’t know if theses are the right answer that’s what I got

I hope so they are right

Answer :452/9 or 50 2/9

PLZ HELP ME. 3 questions be my angel.

Answers

53% for the first oneeee

Answer:

82

Step-by-step explanation:

eat good

6. You want to go to the movies. A ticket for a movie
cost $10.90. There is a student discount for 20% off
with a student ID. The tax rate charged is 5.75%.
What is the sale price of your ticket? Explain how you
arrived at your answer.

Answers

Answer:

The sale price of your ticket would be $9.22

Step-by-step explanation:

First you subtract 20% off from $10.90

Which is $8.72 , then you add 5.75%

so $8.72 + 5.75% = $9.22

Hope this helps have a nice evening please give me brainliest

Rotate the vector (5,1) 90°
clockwise about the origin.

Answers

Answer:

(-1, 5)

Step-by-step explanation:

this is correct

The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.

In this case, the original x-coordinate is 5 and the y-coordinate is 1.

When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).

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the sum of 1 1/3 and 5/6

Answers

Answer:

2 1/6

Hope this helps!

Answer:

the right answer is 9/2

Step-by-step explanation:

thanks

Consider the function given by the graph. What are
these values?
f-2)=
fo) =
f4) =

Answers

The function f(x) for the input values are f(-2) = 2, f(0) = 3 and f(4) = -1

How to evaluate the piecewise function f(x) for the input values

From the question, we have the following parameters that can be used in our computation:

The graph of a function and a set of input values

The input values are given as

–2, 0, and 4

Next, we read the above input values from the graph

Using the above as a guide, we have the following:

f(-2) = 2

f(0) = 3

f(4) = -1

Hence, the values are f(-2) = 2, f(0) = 3 and f(4) = -1

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PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9(k - 2) = -6
what is k?

Answers

Answer:

k= 4/3

Step-by-step explanation:

distribute 9     9k- 18=-6

add 18 to both sides  9k= 12

divide by 9

The value of k is 4/3 or 1.334.

What is Equation?

A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.

An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.

Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.

Given equation

9(k - 2) = -6

9k - 18 = -6

add 18 both sides

9k - 18 + 18 = -6 + 18

9k = 12

k = 12/9 =4/3 = 1.334

Hence the value of k is 4/3 or 1.334.

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What is 40/9 as a mixed number

Answers

Answer:

4 4/9

Step-by-step explanation:

40÷9=4r4

Therefore:

409=449

Answer:

4  4/9

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Hope this helps :)

Factor the polynomial completely.
3x^(2) - 8x + 5

Answers

Answer:

(x-1) (3x-5)

Step-by-step explanation:

i hope this helps have a wonderful day!

Answer:

i am only in 8th grade but this is the answer

(x-1)(3x-5)

Step-by-step explanation:

Triangle ABC is reflected across line n to create A'B'C'.
C
57
59°
A
61
67
B
B
n
А
What is the measure of

Answers

Answer:

Angle C is 54 degrees

Step-by-step explanation:

Angle B is 67 degrees and Angle A is 59 degrees. You add those two together to get 126 and subtract that from 180 to get the measure of Angle C

The measure of angle C is 54°.

From the diagram given, triangle A'B'C is a reflection of triangle ABC, therefore, triangle A'B'C' is similar to triangle ABC.

This implies that:

angle A = angle A' = 59°

angle B = angle B' = 67°

angle C = angle C' = ?

Therefore,

angle C = 180 - (angle A + angle B) ---> Sum of angles in a triangle equals 180°.

Plug in the values

angle C = [tex]180 - (59 + 67)\\[/tex]

angle C = 54°

Therefore, the measure of angle C is 54°.

Learn more here:

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Anyone help please, can anybody help me with these questions?

Answers

Answer:

what are they

Step-by-step explanation:

we cant see anything

I need a little help here, please and thank you guys

Answers

Answer-So the dimensions of the rectangle are width is 4 m and length is 11 m

 

Step-by-step explanation:

Equation for Perimeter of a rectangle: Perimeter = 2W + 2L

 

Defining the variables, let

 

Width = x

Length = 2x+3 (3 more than twice the width)

 

Plugging everything into the equation

 

30= 2(x) + 2(2x+3)  using the distributive property,

30=2x+4x+6  combining like terms

30=6x+6  subtracting 6 from both sides,

24=6x  divide both sides by 6

4=x  This means that the width is 4 m

 

To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for

L=2(4)+3

L=8+3 = 11 m

 

So the dimensions of the rectangle are width is 4 m and length is 11 m

 

1.) Given : S is the midpoint of RT; PR = PT

Prove : PRS = PTS


2.) Given : E is the midpoint of AB and CD

Prove: AEC=BED

Answers

Answer: 1.

Given: S is the midpoint of RT

PR=PT

To Prove: PRS=PTS

Step-by-step explanation:

If PR=PT in a triangle PRT, then the triangle is isosceles triangle.

Therefore,  ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)

In ▲PRS and ▲PTS

PR=PT

∠PRT=∠PTR

PS=PS (PS is common)

therefore, ▲PRS≅▲PTS

Therefore, ∠PRS=∠PTS

Hence proved.

Answer: 2.

Given: E is the midpoint of AB and CD.

To Prove: AEC=BED

Step-by-step explanation:

If AB and CD are the diagonals of rectangle, then

diagonals AB=CD,  sides AC=BD and AD=BC

In ▲AEC and ▲BED,

∠AEC=∠BED(vertically opposite angles)

AE=BE

AC=BD

therefore, ▲AEC≅▲BED

Therefore,  ∠AEC=∠BED

Hence Proved.

The proofing of each part should be explained below.

Prove:

a.

In the case when

PR=PT in a triangle PRT,

So the triangle is an isosceles triangle.

Therefore,  ∠PRT=∠PTR

Now

In ΔPRS and ΔPTS

PR=PT

So,

∠PRT=∠PTR

So,

PS=PS (PS is common)

ΔPRS≅ΔPTS

Hence proved.

2.

In the case when AB and CD are the diagonals of the rectangle,

So,

diagonals AB=CD,  sides AC=BD and AD=BC

In ΔAEC and ΔBED,

So,

∠AEC=∠BED

That means

AE=BE

AC=BD

therefore, ΔAEC≅ΔBED

Hence Proved.

Learn more about the midpoint here; https://brainly.com/question/24600215

Alex says, if I split a shape into four parts,I have split it into quarters

Answers

The four parts need to be equal, only then the shape will be said to have splitted in quarters.

a + bx: a = 15,b= -4, and x = -3

Answers

answer: 27

explanation:
plug in the numbers for their corresponding letter...
15 + (-4)(-3)
then use PEMDAS...
15 + (12)
= 27

Please I need help like now

Answers

Answer:

it's is d

Step-by-step explanation:

seening this info

for every 2/3 of cold water there is 1/2 of vegetable Oil

to make this answer complte if if we add a another cup of water the amount that is requared  and since were adding 1/2 of oil which is 2/3 of water need adding 2/3+2/3=4/3

Hence 4/3 or D is right


At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?

Answers

Answer:

30% of the swimmers won a ribbion

and 70% didnt

Step-by-step explanation:

the quotient of 5 ÷A is equal _ the quotient of A ÷ 5 ​

Answers

Answer:

5÷A and A÷5=A×A and 5×5=A=25

There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?

Answers

There should be 675 boys
i think the answer is 675:)

16.437 rounded to the nearest tenth is 16.4.

Answers

Answer:

yes

Step-by-step explanation:

Answer:

16.437 rounded to the nearest tenth is 16.4

Step-by-step explanation:

help 5 start rating helpp\ plzzzzz

Answers

Answer:

hwbqjakakakakakakamamakjajajq

In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160

Answers

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

1 is 25% of what number?

Answers

Answer:

4

hope it helps.........

Answer:

1 is 25% of 4

Step-by-step explanation:

let the number be x,

so, 25% of x = 1

=》25/100 × x = 1

=》 1/4 × x = 1

=》 x = 1×4

=》 x = 4

hence the required number is 4

i hope u got it

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