what is the next step in solving this equation?

13-2(5x+1)=2-4x+3
13-10x -2=2-4x+3
11-10x=5-4x

answer choices
A. Subtract 5 from the left side

B. Add 10x to both sides

C. Subtract 11 from the right side

D. Subtract 4x from both sides

Answers

Answer 1

Answer:

B.

Step-by-step explanation:

remember, solving this means to get the variable alone on one side (it does not matter which side), and everything else on the other side.

but whatever changes we do (except for just completing local operations that were already there), we always have to do them to both sides to keep the equality alive. if we introduce a change of quantity on one side only, we break the equality, and we will not get a valid result anymore.

A. subtract 5 from the left side : no, it changes only the left side. the equality is broken.

B. add 10x to both sides. yes, it applies the change to both sides and will bring all terms of x to one side. perfect.

C. subtract 11 from the right side. no, it changes only the right side. the equality is broken.

D. subtract 4x from both sides. no. it does change both sides and keeps the equality, true, but it does not help us in solving the equation. it still keeps a mixture of x terms and constant terms on both sides. nothing changes in the structure.


Related Questions

What equation has the solution to X= -3

Answers

Answer: A equation that could have "x= -3" as a solution could be "235x - 18 = -723".

Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week. How many miles has Janet hiked in the past week?

Answers

18 3.6*5 =18 she walked 18 miles

Answer:

Janet hiked 18 miles during the past week.

Step-by-step explanation:

Length of hiking trail = 3.6 miles

Number of days she hiked during past week = 5 days

We need to find how many miles has Janet hiked in the past week?

We will multiply length of trail with number of days she hiked that trail

Miles Janet hiked in the past week = 3.6 * 5

                                                           = 18 miles

So, Janet hiked 18 miles during the past week.

Ann is 10.5 years old. Marco is 11and 7/11 years old. How many years older is Marco than Ann?

Answers

Answer:

I think 22 but not really sure

Step-by-step explanation:

Compare the twentieth entries in each list of numbers. Which list has the largest twentieth number?

A. −8, −5, −2, 1, …
B. −12, −11, −10, −9, …
C. −13, −11, −9, −7, …
D. −16, −11, −6, −1, …

Answers

Answer:c

Step-by-step explanation:

5x - 4 ≥ 12
AND 12x + 5 ≤ -4

Answers

Answer:

1) 5x - 4 ≥ 12

5x ≥ 12 + 4

5x ≥ 16

x ≥ 16/5

2) 12x + 5 ≤ -4

12x ≤ -4 - 5

12x ≤ -9

x ≤ -9/12

Step-by-step explanation:

what is the upper and lower bound of 0.82

Answers

Answer:

What ?

Step-by-step explanation:

Whatttt huh didnt ybderstand has

Which of the following correctly uses Distributive Property of Multiplication to evaluate the expression 4(a+4)?

Answers

Answer: 4a + 16

Step-by-step explanation:

A Boeing 747 travels 938 miles from Houston, Texas to Chicago, Illinois with the wind in two hours. The return trip, flying against the wind, takes three hours. Find the speed of the plane in still air, and the speed of the wind.

Answers

Answer:

speed = 469 miles per hour

speed = 312.6667 miles per hour

Step-by-step explanation:

The speed along wind is 469 mph and against wind is 312.66 mph.

What is Speed- distance formula?Speed = Distance/TimeDistance = Speed X Time, Time = Distance / Speed

Given:

Boeing 747 travels 938 miles with the wind in two hours.

and, Boeing 747 travels 938 miles against the wind, takes three hours

So, speed along wind

= 938 / 2

= 469 mph

and, speed against wind

= 938 / 3

= 312.66 mph

Learn more about speed- distance formula here:

https://brainly.com/question/25422529

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Three positive integers have a mean of 4 and a range of 7. Find the three numbers.​

Answers

The three positive integers are estimated as (6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).

What is defined as the positive integers?

Positive integers are integers that would be on the right side of 0 on a number line. These integers have a value greater than zero.

Natural numbers are another word for positive integers.Natural numbers are positive counting numbers (1, 2, 3, 4,...). The whole numbers are obtained by adding the number 0 to the natural numbers (0, 1, 2, 3, ...). Integers include 0 as well as the natural numbers and their inverses: (..., -3, -2, -1, 0, 1, 2, 3, ...).

Now, as per the given question;

Let the three number be a, b and c.

The range of the number are given as 7.

Then,

(0 < a < 7), (0 < b < 7) and (0 < c < 7)

The mean of the number is defined as 4.

Thus,

(a + b + c)/3 = 4

So, (a + b + c) = 12.

Now, apply the Enumeration method;

Case 1: If a = 6 (a < 0), then (b + c) = 6. This, is possible for the set,

a = 6, b = 1 and c = 5. ora = 6, b = 2 and c = 4. ora = 6, b = 3 and c = 3.

Case 2: If a = 5 (a < 7), then (b + c) = 7. This is possible for the set,

a = 5, b = 1 and c = 6. ora = 5, b = 2 and c = 5. ora = 5, b = 3 and c = 4.

Therefore, the given three positive integers could be;

(6, 1, 5), (6, 2, 4), (6, 3, 3), (5, 1, 6), (5, 2, 5), (5, 3, 4).

To know more about positive integers, here

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a box of cereal should have a mass of 397 g the quality control inspector measures the mass of every fiftieth box the inspector rejects any box that is not within 10 g of the ideal mass

Answers

I wish I could help but I’m looking for an answer to my question :( sorry

Sarah paid $1,932 in tax on her new car

which had a purchase price of $80,500.

Which other car tax & price

varies directly with hers?

A) Purchase Price = $68,000 & Tax = $1,020

B) Purchase Price = $92,000 & Tax = $2,760

C) Purchase Price = $75,000 ¢ Tax = $1,350

D) Purchase Price = $85,000 & Tax = $2,040

Answers

Answer: D. Purchase Price = $85,000 & Tax = $2,040

Step-by-step explanation:

From the question, Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500. The constant of proportionality here will be:

= $80500 / $1932

= 41.67

The options that varies directly with the above will be:

A. Purchase Price = $68,000 & Tax = $1,020

Constant of proportionality

= $68000 / $1020 = 66.67

B) Purchase Price = $92,000 & Tax = $2,760

Constant of proportionality:

= $92000 / $2760

= 33.33

C) Purchase Price = $75,000, Tax = $1,350

Constant of proportionality:

= $75000 / $1350

= 55.56

D) Purchase Price = $85,000 & Tax = $2,040

Constant of proportionality:

= 85000 / 2040

= 41.67

Based on the calculation, we can see.that option D has thesame constant of proportionality with the figure calculated.

Graph a line that contains the point (6,-5) and has a slope of -2/3

Answers

Answer:

The line to graph is y=-[tex]\frac{2}{3}[/tex] -1

Step-by-step explanation:

In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).

1. Plug info into point-slope form:

y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)

2. Simplify:

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

3. Simplify even further:

y=-[tex]\frac{2}{3}[/tex] -1

To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.

Helppp plss I will give 40 points

Answers

Answer: 108

Step-by-step explanation: The equation to find the surface area of a square pyramid is s^2+2*s*l.

The area of the square base is equal to s2

The area of one triangle is equal to (s × l)/2

The slant height of a square pyramid equals (l)

Since there are 4 triangles, the area is 4 × (s × l)/2 equals 2 × s × l

Therefore, the surface area, call it SA is Surface Area (SA)=  s2

 +  2 × s × l

so if you plug in the numbers you get 6^2+2*6*6 which equals 108

Answer:

The Answer is 108 feet squared.

Square Surface Area-

A= LxW

A= 6x6

A= 36

Triangle Surface Area-

A= 1/2 bh

A= 1/2 6x6

A = 1/2×36

A= 18

Since there are 4 Triangle multiple 18×4= 72

so... 72+36= 108

BOOM!! LOL

How does a percent relate to a proportion? Drag the words to complete the explanation.
Each word may be used once or not at all.
variable, part, whole, constant
A percent is a --------- of proportionality describing the----------- of the ----------
how ever answers this is relly smart and pls answer it correct and i will give him brainlist

Answers

Answer:

A percent is a constant of proportionality describing the part of the whole

What is the value of x? (Please help ASAP)

Answers

Answer:

110

Step-by-step explanation:

Bigger then 90 less than 120

I think the answer is 110 I hope this helps you

Please help me please

Answers

It is reflected over the x-axis and rotated 90 degrees.

A family travels 613.4 miles in 11.4 how many miles do they drive in one hour?

Answers

Answer:

Step-by-step explanation:The population in the trapezoid-shaped region shown is about 7000 people. How many people are there per square mile?

Is 3 a factor of 73? ( Yes ) or ( No )

Answers

Answer:

The correct answer is no.

Step-by-step explanation:

If a number is a factor of another number, that means that it can be equally divided into it evenly.

I know that 3 x 20 = 60, and 73 - 60 = 13.

Since 3 is not a factor of 13, it is also not a factor of 73.

Hope this helps! :D

Please Help!!
7 times a number minus the number is -48 find the number

Answers

7 • x - x = -48. the number is -8!

Which is the graph of the system of equations y = 3x + 6 and y = 3x +1?

Answers

Answer:

See the picture attached. The purple line is y=3x+6 and the red line is y=3x+1.

Step-by-step explanation:

When graphing lines, start with the y-intercept and then use the slope to plot points to help you draw the line.

The equations are in y=mx+b form, where mx is the slope and b is the y-intercept. To get the points, plug in a number where x is. Whatever result you get is the y coordinate for that number.

For example, on the graph in the picture 3(1)+1 = 4. Using that, you would plot the point (1,7).

Hope that makes sense!

The interior angle of a regular polygon
is 14 times larger than the exterior
angle.
How many sides does the polygon
have??

Answers

Hope this helped
ask questions if you have any :)

what is 12 34/100 written in standard form?

Answers

Answer:

12 17/50

Step-by-step explanation:

Divide the numerator and denominator by 2 to get 12 17/50 which is in standard form.

The 17 and 50 can not be simplified anymore so it is in its simpliest form (standard form).

Standard form definition: A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers.

Co-prime numbers definition: Co-prime numbers are those numbers that have only one common factor, namely 1.

Hope this helps :)

whats the answer giving brainliest:)(: .

Answers

Answer:

D

Step-by-step explanation:

x -91

Answer:

The answer is B. X /91

Step-by-step explanation:

All the other answers indicate the number is/will end up being bigger than 91

Janet has $25.37 in her bank account. She decides to purchase a video game online which costs $49.99. The bank will automatically withdraw money from her account. How much money will Janet owe the bank?

Answers

Answer:

She will owe the bank $24.62

2. When 9 is added to the number that is produced by tripling the number x, the result is
equal to 6 times the number that is 3 less than x. Write an equation to represent the
situation and use it to find the value of x.

Answers

The equation that represents the situation is:

9 + 3x  =  6(x  -  3)

The value of x is x = 9

Word problem on linear equation

Let the number be represented by x

Triple the number = 3x

9 added to the number that is produced by tripling the number x = 9 + 3x

3 less than x  = x - 3

6 times the number that is 3 less than x = 6(x - 3)

Therefore, the equation that illustrates the situation is:

9 + 3x  =  6(x  -  3)

Solve for x in the equation above

9 + 3x = 6x  -  18

6x  -  3x  =  9  +  18

3x   =  27

Divide both sides by 3

3x/3  =  27/3

x  =  9

Learn more on linear equations here: https://brainly.com/question/14323743

Jenny earned 104 of a possible 140 points on a test. She lost 4 points for each incorrect answer. How many incorrect answers did she have? PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Jenny had 9 incorrect answers.

Step-by-step explanation:

We know that Jenny earned 104 of a possible 140 points on a test.

140 - 104 = 36

We also know that she lost 4 points for every incorrect answer.

36 ÷ 4 = 9

Therefore, Jenny had 9 incorrect answers.

Hope this helps! :D

Answer:

9 questions incorrect

Step-by-step explanation:

Make an Equation

104+x(4)=140

X is for incorrect answers and since each incorrect answer is Worth 4, multiply x by 4. The 104 is the point Jenny orignally got so we put that in the equation to find how many Incorrect she got.

Solve the equation

104+4x=140 Subtract 104 on both sides

4x=36   Divide 4 on both sides

x=9   X=9

Find the component form of the vector that translates P(4,5) to p'.
P'(-3,7)
CAN SOMEONE PLEASE HELP
3rd time asking this question no one is helping right

Answers

Answer:

Component form : (-7 , 2)

Step-by-step explanation:

P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)

4 + x = -3

    x = -3 - 4

    x = -7

5 + y = 7

     y = 7 - 5

     y = 2

Vector form : -7i + 2j

Component form : (-7 , 2)

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal. A) How much does popcorn cost per ounce? The cost per ounce is dollars. B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar. C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is

Answers

Answer:

A. $0.25 per ounce

B. 4 ounces per dollar

Step-by-step explanation:

As you want. She bought 10 ounces of spicy popcorn for $2.50. When writing your answer write it as a whole number or a decimal.

A) How much does popcorn cost per ounce? The cost per ounce is dollars.

10 ounces of spicy popcorn = $2.50

1 ounce of spicy popcorn = x

Cross Multiply

10 ounces × x = $2.50

x = $2.50/10 ounces

x = $0.25 per ounce

B) How much popcorn can you buy per dollar? You can buy ounces of popcorn per dollar.

$2.50 = 10 ounces of spicy popcorn

$1 = x ounce of spicy popcorn

Cross Multiply

$2.50 × x = 10

x = 10/2.50

x = 4 ounces per dollar

C) Write two different equations that represent this situation. Use pp for ounces of popcorn and cc for cost in dollars. The first equation is and the second equation is

What is the slope of the line ?

Answers

Answer:

[tex]m=\frac{8}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, -4)

Point (1, 4)

Step 2: Find slope m

Substitute [Slope Formula]:                    [tex]m=\frac{4+4}{1+4}[/tex]Add:                                                          [tex]m=\frac{8}{5}[/tex]

The Canadian $2 coin has a copper centre surrounded by a ring of nickel. The diameter of the coin is 2.8 cm. The area of the copper centre is 2.0 cm2 . What is the area of the nickel ring

Answers

Answer:

           6.0 cm²

Step-by-step explanation:

Area of the coin:

[tex]A_c = d\pi\\\\A_c = 2.8\pi\approx8.8\ cm^2[/tex]

So area of the ring:

A = 8.8 - 2.0 = 6.0 cm²

Answer:

4.15

Step-by-step explanation:

d = 2.8cm,  a = 1.4cm

a = πr2

a = 3.14 * 1.42

a = 3.14 * 1.96

a = 6.15cm2

6.15 - 2 = 4.15

The area of the nickel ring is 6.15cm2

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