Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?

Rewrite the expression on the left using the distributive property.
Multiply both sides by x.
Rewrite the expression on the left using subtraction.
Divide both sides by x.

Answers

Answer 1

rewrite the expression on the left using the distributive property.

Step-by-step explanation:

Answer 2

Answer:

A

Step-by-step explanation:

Rewrite the expression on the left using distributive property.


Related Questions

Sarah and 2 friends go out to eat to a restaurant. Their bill is $89.50. In addition to the bill, they are going to leave a 20% tip and pay 5% in
taxes. If they decide to split the bill, how much will each person pay?
Blank 1:

Answers

Answer:

$111.87

Step-by-step explanation:

so you are going to divide this bill between two people. first you are going to divide 89.50 and divide it by 100. the answer you get you will multiply that by 20. that will be the tip they give so add that to 89.50. for the taxes you do the same but instead of multiplying by 20 you will multiply by 5. you are going to have to add that all up and then divide by 3.

Answer:

$111.87

Step-by-step explanation:

At a farm, four employees harvest 48 pounds of food over a certain number of hours. Each employee works the number of hours shown. Employee A6 Employee B :4 employee C:8 employee D:8 The number of pounds of food harvested by each employee is potential to the number of hours worked.

Answers

Answer:

A harvest = 11 pound (Approx)

B harvest = 7 pound (Approx)

C harvest = 15 pound (Approx)

D harvest = 15 pound (Approx)

Step-by-step explanation:

Given:

A - 6

B - 4

C - 8

D - 8

Total harvest = 48 pound

Computation:

Total hour = 6+4+8+8

Total hour = 26 hour

A harvest = 48(6/26)

A harvest = 11 pound (Approx)

B harvest = 48(4/26)

B harvest = 7 pound (Approx)

C harvest = 48(6/26)

C harvest = 15 pound (Approx)

D harvest = 48(6/26)

D harvest = 15 pound (Approx)

HELP! Which number is a rational number?
A. Square Root of 9/2
B. Square Root of 13/16
C. Square Root of 49
D. Square Root of 34

Answers

Answer:

its c or the square root of 49

Answer:

The answer is C. (square root of 49)

what is a slope-intercept form of a equation of a line that passes through (-1,6) and (2,-3)

Answers

Answer:

go to m a t h w a y trust me that app is a game changer

$46 shoes; 2.9% tax.

Answers

the correct answer is 47.33 because you have to multiple 46 times 0.029 and then add 1.33 to the 46 so you get 47.33 hope this helps :)

Answer:

47.33

Step-by-step explanation:

youe welcome

Please what is this I need help

Answers

Answer:

It is B

Step-by-step explanation:

Does anyone know how to like graph it for me like just tell me where they go please and thank you!

Answers

Answer:(0,4), (-1,0), (-4,-2)

Step-by-step explanation:

A'B'C' is the image of ABC after a translation. Write the rule for the translation. (x,y) → ______

Answers

Answer:

A hint because i am still finding the answer, ● TRANSLATION is a transformation that SLIDES a figure horizontally (left or right), vertically (up or

down), or both on a coordinate plane.

OVER 2 1/2 UP 1/2. THIS SHOULD BE RIGHT BUT A SECOND OPINION IS GOOD TOO.

The graphs below show the test scores for students in different subject area and the time the students spent studying for the tests. Math Scores vs. Hours Spent Studying A graph titled math scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (2.5, 60) and (3.5, 70). Science Scores vs. Hours Spent StudyingA graph titled science scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 40) and (3.5, 50). Spelling Scores vs. Hours Spent Studying A graph titled spelling scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 80) and (4.5, 90). History Scores vs. Hours Spent Studying A graph titled history scores versus hours spent studying has hours spend studying on the x-axis and test score on the y-axis. A line goes through points (0.5, 50) and (2, 70). Which graph has a trend line with the least slope? Math Scores vs. Hours Spent Studying Science Scores vs. Hours Spent Studying Spelling Scores vs. Hours Spent Studying History Scores vs. Hours Spent Studying

Answers

Answer:

The answer is C)Spelling Scores vs. Hours Spent Studying

Step-by-step explanation:

This is the answer because if you look at all of the other options, then you will see that they have a steeper slope, you could also calculate and find for slope if u are still unsure :) hope this helps

The graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph

What is the slope of a line?

The slope of a line is the quotient of the change in the vertical values to the corresponding horizontal values

Check below on how the trend line with the least slope can be determined

From the question, we have:

Line 1: (2.5, 60) and (3.5, 70)Line 2: (0.5, 40) and (3.5, 50)Line 3: (0.5, 80) and (4.5, 90).Line 4: (0.5, 50) and (2, 70).

The slope (m) is calculated using:

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

m₁ = (70 - 60)/(3.5 - 2.5) = 10m₂ = (50 - 40)/(3.5 - 0.5) = 3.3m₃ = (90 - 80)/(4.5 - 0.5) = 2.5m₄ = (70 - 50)/(2 - 0.5) = 13.3

The line 3 has the least slope

i.e. m₃ = 2.5

Hence, the graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph

Read more about slope at:

https://brainly.com/question/1884491

In my town, gas prices are always listed to the thousandths place. Since the smallest coin we have is the penny, we have to round them to the hundredths place. If the price of gas is $8.162, what will the price be when we round it to the hundredths place?

Answers

I believe the answer is $1.16 but sorry if this is wrong!

Which of the following values are solutions to the inequality −4≥5x−3?

Answers

Answer:

X[tex]\leq[/tex] -1/5

Step-by-step explanation:

I hope it helps

Which of the following is NOT a true bi-conditional statement?
A It is noon if and only if it is 12:00 PM.
B Two segments are congruent if and only if they have the same length.
C An angle is right if and only if its measure is 90°.
D I am a violinist if and only if I am a musician.

Answers

d

because your a musician you cant be a true statement I am wrong


Find the exact value of sec 3pi/2
If not defined, write undefined.

Answers

Answer: Undefined

Step-by-step explanation:

Sec 3[tex]\pi[/tex]/2 = 1/Cos(3[tex]\pi[/tex]/2) = 1/0 = Undefined

There 18 rows of seats in the auditorium there are 24 seats in each row how many seats are in the auditorium

Answers

The answer is they’re 432 seats in the auditorium

Answer:

432 seats

Step-by-step explanation:

Since 24 seats = 1 row, all we have to do is multiply 24 by 18, since there are 18 rows of seats. This would give us 432, which is the total number of seats in the auditorium.

Multiply ()
Part A: What is/are the restricted value(s)?
Part B: What factor(s) can be eliminated before multiplying?
Part C: What is the simplified product?
Select all answers that apply for Part A and Part B, and select one answer for Part C.

C: 3x-12
———-
x^2+2^x

B: x+2

C:(x-4)(15x)
————-
(5x^2)(x+2)

A: -2

C: 3x-12
-———
x+2

A: 0

A: 5

C: 3x-6
———
x

A: -4

A: 2

B: x

A: 4

B: 5

B: x^2

Answers

Answer:

Step-by-step explanation:

b, i'm not sure but thats what i think.

Find the sum of the finite geometric series

6 - 4 + 8/3 - 16/9 + 32/17

Answers

Answer:

The sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416

Step-by-step explanation:

We need to find the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17

The formula used to find sum of geometric series is [tex]S_n=\frac{a(1-r^n)}{1-r}[/tex]

where a is 1st term, n is number of terms and r is common ratio

so, in the given geometric series 6 - 4 + 8/3 - 16/9 + 32/17 we have

First Term a=6

Common ratio r= -0.6

Number of terms n= 5

Putting values in formula to find sum of given geometric series

[tex]S_n=\frac{a(1-r^n)}{1-r}\\S_n=\frac{6(1-(-0.6)^5 )}{1-(-0.6)}\\S_n=\frac{6(1-(-0.07776))}{1+0.6}\\S_n=\frac{6(1+0.07776)}{1.6}\\S_n=\frac{6.46656}{1.6}\\S_n=4.0416[/tex]

So, the sum of geometric series 6 - 4 + 8/3 - 16/9 + 32/17 is 4.0416

Bob bought 5 books for x dollars each and a DVD for $12. Write an expression for how much money Bob spent.

Answers

Answer:

5x+12

Step-by-step explanation:

X symbolizes how many he is buying plus the extra 12 dollars

Answer:

5x+12=y

Step-by-step explanation:

Y represents the amount of money spent.

if x represents the amount of one book and Bob bought 5 books than you have to multiply the amount of one book by five to get the amount spent on all the books. Thus getting 5x

You need an equation to find how much money spent total. Thus adding $12 because Bob also bought a DVD for $12.

Therefore, the only logical equation is 5x+12=y

Find the slope of the line that passes through
(10, 1) and (5,2)

Answers

Answer:

the slope of the line is -1/5

remember, rise over run.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

[tex]m=-\frac{1}{5}[/tex]

Step-by-step explanation:

please help me, solve for n

Answers

Answer:

The value of n will be:

[tex]n=\frac{89}{4}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{n}{2}-8^{-1}=11[/tex]

Apply the exponent rule:

[tex]a^{-1}=\frac{1}{n}[/tex]

so the expression  becomes

[tex]\frac{n}{2}-\frac{1}{8}=11[/tex]

Add 1/8 to both the sides

[tex]\frac{n}{2}-\frac{1}{8}+\frac{1}{8}=11+\frac{1}{8}[/tex]

[tex]\frac{n}{2}=\frac{89}{8}[/tex]

[tex]n=\frac{89}{4}[/tex]

Therefore, the value of n will be:

[tex]n=\frac{89}{4}[/tex]

The table shows the results of a survey on students'
favorite kind of movie. Select the appropriate values to
complete the model to find the fraction of students that
prefer comedy or action movies.


What fraction of the students who were surveyed prefers
comedy or action movies?

Answers

Answer:

71/100

Step-by-step explanation:

Action 29 plus comedy 42 equals 71 and if you add action, comedy, drama, and horror you get your denominator of 100

Fraction of the students is 71/100 who were surveyed prefers comedy or action movies.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

Number of students who prefer action = 29

Number of students who prefer comedy = 42

Here, Total students = 100

Hence, Fraction of the students who were surveyed prefers comedy or action movies is,

⇒ 29/100 + 42/100 = 71/100

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

The graph below shows a quadratic function f(x) and an absolute value function g(x) Which of the following x-values are approximate solutions to the equations f(x) = g(x)? select all that apply

Answers

Answer:

a, b ,e

Step-by-step explanation:

The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2

The correct answers are option (A) and option (E)

What is equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is solution to equations?

"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."

For given question,

We have been given the graph of a quadratic function f(x) and an absolute value function g(x).

We need to find the x-values that are approximate solutions to the equation f(x) = g(x).

To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.

The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.

Also,  the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.

So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2

The correct answers are option (A) and option (E)

Learn more about the solution to the equation here:

https://brainly.com/question/14603452

#SPJ2

A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Write the integer of where the flea is now on the number line. number line

Answers

Answer:

This is How to solve a integer: Write your number on a piece of paper. You can write your integer in a variety of ways. For instance, write your integer in standard form (such as 63), expanded form (such as 100+50+2, which in standard form would be 152) or in written form (such as one thousand two hundred thirteen).

Step-by-step explanation:

What is the slope of the line

Answers

Answer:

2 over 2. which would simplify to 1. rise over run.

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

slope = change in y over change in x

the line goes down 1 and over 1 so slope is -1/1 or -1

)
11
12
Which is a reasonable first step that can be used to solve the equation 4x+3(x+2) = 5(2x-3)
O Distribute the 3 to x + 2, and distribute the 5 to (2x - 3).
O Combine 4x and x on the left side of the equation.
© Apply the subtraction property of equality to move the 2 from the left to the right side of the equa
O Apply the addition property of equality to move the 3 from the right to the left side of the equation

Answers

A should be the answer

Answer:

D

Step-by-step explanation:

gallons of gas (x) miles (y)
1 30
2 60
3 90

Is there any value of x that would lead to multiple values of y? If so, write down that particular value of x.

Answers

Answer:

There is no x-value that would lead to multiple y-values.

Step-by-step explanation:

PLATO answer

The math club is having a car wash to raise funds to attend a state competition they need to raise a minimum of $325 the cost of supplies for the car wash is $25 if they except 40 cars on the wall on the day of the car wash what is the amount they have to charge each car to meet the minimum goal what is the answer

Answers

Answer:

£8.75

Step-by-step explanation:

325+25=350

350/40=8.75

1. The Willis Tower (formerly known as the Sears Tower) in Chicago is about 1454 feet tall. A model of it has a scale of 2 in = 45 feet. How tall is the model?

Answers

Answer:

[tex]x\approx64.622\text{ inches}[/tex]

Step-by-step explanation:

We can write a proportion that relate the model lengths to the actual length. The traditional format is:

[tex]\frac{\text{Model Length}}{\text{Scale Factor}}=\frac{\text{Original Length}}{\text{Scale Factor}}[/tex]

Hence, we will substitute 1454 for the “Original Length.”

2in for the “Scale Factor” below the model.

And 45ft for the “Scale Factor” below the original.

Let the model length be x.

This yields:

[tex]\frac{x}{2}=\frac{1454}{45}[/tex]

Solve for x. Cross-multiply:

[tex]2908=45x[/tex]

Divide both sides by 45:

[tex]x\approx64.622\text{ inches}[/tex]

Therefore, the height of the model is about 64.6 inches.

Step-by-step explanation:

solution

we know that,

tower hight = 1454 feet

here

2inch=45 feet

now,

1454 feet=(1454/45)inch

1454 feet =32.31 inch

so,tower is 32.31 inch tall according to model length

this may help you (:

Multiply out 3(2x-7)

Answers

Answer:

6x-21

Step-by-step explanation:

3*2x = 6x

3*-7 = -21

6x-21

The answer is 6x-21, multiply the equation with distributive property

GIVING BRAINLEST PLSS HELP MEEEEEEEEEEEE

Answers

Answer:

b is correct

hope that helped if yes give me brainliest and if no draw my attention by hitting the comment section

Answer:

b

Step-by-step explanation:

Rob is buying some green apples to make some fresh apple juice. The price of the green apples is G and Rob has a coupon for 10% off. Consider the expressions given in the answers. Which expression is the price of the green apple after using the coupon?
A) 1.1g
B) 0.1g
C) g – 0.1g
D) g
E) g – 0.1

Answers

C) g-0.1g
You multiply gx0.1 then subtract that from the price of apple (g).

Answer:

c

Step-by-step explanation:

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