Practice isolating the variable to solve equations with
variables on both sides.
Assignment
Consider the equation 9 - 4x = 2x.
Which equation resulted from adding 4x to both sides to isolate the variable term?
O9-2x = 4x
O 9 = -2x
O 9 =6x
O 4x=2x-9

Answers

Answer 1

Answer:

9 =6x

Step-by-step explanation:

We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.

Answer 2

Answer:

9/6 or 1.5

Step-by-step explanation:

both are right


Related Questions

The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex? What are coordinates of the fourth vertex?

Answers

Answer:

probability is one for the position of the fourth vertex

it's co ordinates will be (2,2)

Please see picture

What type(s) of symmetry does this figure have?

A. Both rotational and reflectional

B. This figure is not symmetrical.

C. Rotational

D. Reflectional

Answers

D. Reflectional because if you cut it in half, it would look like the other piece.

pls help me pls pls ​

Answers


7x = 2x + 20
5x = 20

X =4

Hope it helped

Thank You

The drama club spent $8.50 per person on food for a cast party. The total cost of the flood was $229.50. How many people were at the cast party?

Answers

Answer:

229.50 ÷ 8.50= 27 people

Please help!!!!!!!!!!!!!

Answers

Answer:

r=8

Step-by-step explanation:

r*4=32

32/4=8

Therefore, r=8

Answer:

r = 8

Step-by-step explanation:

Ok don't worry. This question is not as hard as it should be.

It states it's a balanced equation. So that means 32 is equal to the other side.

there are 4 r's on the other side

32=4r

Divide 4 on both sides so the variable is independent

32/4=4r/4

8=r

Hope this helps!

Cheri paid $6.50 for the bunch of grapes with the weight of 2.5 pounds. What is the price per pound?

Answers

It would be $2.6 (or $2.60) per pound.

What is 503.782 to the nearest then tenth

Answers

Answer: 503.8

Step-by-step explanation: 503.782 is the original fraction. To round up the number has to be 5, 6, 7, 8, or 9. The number in the hundredths place is 8. so that means the number in the tenths place can be moved up to 8 since 7+1=8.

NEED HELP NOW!!!! find the measure of the angle BXE using the figure below

Answers

Answer:

bxe is a triangle

Step-by-step explanation:

You have a band concert coming up. You need to make sure that everyone in the audience has a seat. 70 people bought tickets. You set 6 rows of 11 chairs. Is that enough chairs? Why or why not? Show Work!

Answers

no this is not enough chairs!

if you have 6 rows of 11 chairs it would look like this

xxxxxx

xxxxxx

xxxxxx

xxxxxx

xxxxxx

(each x is a chair)

this would mean to figure out the amount of chairs you set down you would do 6 x 11 which is 66. so you would need 4 more chairs to fit all 70 people.

The triangle below is an equilateral triangle. What is the perimeter of the triangle?

Answers

Answer:

[tex]5.4x+15[/tex] inches

Step-by-step explanation:

This is an equilateral triangle.

Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)

In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.

Let's multiply this by 3.

[tex]3(1.8x+5)[/tex]

We can apply the distributive property - multiply all terms inside the parentheses by 3.

[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]

Hope this helped!

Select all the statements that are true.

Answers

Answer:

Sqrt(7) is irrational because 7 is not a perfect square.

7.1234... is irrational because it is a nonterminating nonrepeating decimal.

Step-by-step explanation:

A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.

An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.

All options other than the two selected do not make sense.  Pi is irrational because it is a nonrepeating nonterminating decimal.

Cheers.


The cost (y) to rent a car is $45 per day plus 22 cents per mile. Which is the constant value in this situation?
A)
0.22x
B)
45
х
D)
у

Answers

Answer: is b andrea

Step-by-step explanation: i just took the same test

Answer:

Thy answer is B my queen

Step-by-step explanation:


A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag.What is the probability in decimal form that the tile selected will
be green?

Answers

0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%

What is answer 2x+8= -4

Answers

Answer:

x=-6

Step-by-step explanation:

2x=-4-8

2x=-12

2x/2=-12/2

x=-6

Answer:

x = - 6

Step-by-step explanation:

2x+8 = 4

Subtract 8 from both sides:

2x+8-8 = - 4 - 8

Simplify :

2x = -12

Divide both sides by 2 :

2x/2 = -12/2

Simplify  :

-12/2 : -6

x = -6

Hope it Helps :) !!

There are 128 ounces in a gallon. There are 4 quarts in a gallon. How many ounces are in a quart

Answers

32 ounces.

128/4 = 32

4 quarts = 128 ounces
1 quart = 128/4= 32ounces

Brighton Company launched a new gaming console. They sold 200 consoles prior to the launch.
The number of consoles sold each day after the launch is shown by the graph below.

Answers

Answer: in the domain of this situation, there is no asymptote.

Step-by-step explanation:

Asymptote would be on the left where x is negative but this function only shows all positive values of X

The value of k is -0.25. The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold.

The graph shows that the number of consoles sold each day after the launch of the Brighton Company gaming console follows an exponential decay pattern. This means that the number of consoles sold each day is decreasing at a rate that is proportional to the number of consoles that have already been sold.

The equation that can be used to model this exponential decay pattern is:

N = A * [tex]e^{-kt[/tex]

where:

N is the number of consoles sold on day t

A is the initial number of consoles sold (200 consoles)

k is a constant that determines the rate of decay

e is the base of the natural logarithm

We can use the data from the graph to estimate the value of k. The first day after the launch, 180 consoles were sold. This means that on day 1, N = 180. The initial number of consoles sold, A, is known to be 200 consoles. Therefore, we can write the following equation:

180 = 200 * [tex]e^{-kt[/tex]

Solving for k, we get:

k = -ln(1.8) / 1

≈ -0.25

The value of k is approximately -0.25. This means that the number of consoles sold each day is decreasing at a rate of 25%.

We can use the equation to predict the number of consoles sold on future days. For example, on day 2, we would predict that 150 consoles would be sold. On day 3, we would predict that 120 consoles would be sold.

The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold. This is because the exponential decay pattern is not perfect. There are other factors that can affect the number of consoles sold, such as the availability of the console and the price of the console.

To learn more about graph here:

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A truck can be rented from Company A for ​$110 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. PLZ HELP

Answers

Answer: i am also looking for the answer so far i’ve gotten x=200 but it told me it was wrong feel free to try it i guess

Marty drew a model of the school library. The total area of the floor is 132 square
centimeters. What is the area of the shaded part of the model shown below?
10 centimeters
6 centimeters

Answers

Answer:

Step-by-step explanatio11n:

116

6. How many 1/2 hour periods will make up 4 hours?

Answers

Answer: it will take 8 periods of 1/2 hour to make up 4 hours

Step-by-step explanation:

It will take 8 periods of 1/2 hour to make up 4 hours.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Half an hour is 30 minutes,

There are 60 minutes in an hour.

4 hours=240 minutes.

240/30 = 8

Hence, 8 periods of 1/2 hour to make up 4 hours.

Learn more about Arithmetic operations

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This year omar watched 80 movies. He thought that 54 of them were very good. of the movies he watched, what percentage did he rate as very good

Answers

Answer:

percentage flim rated very good = 54/80*100%

                                                      = 67.5%

Step-by-step explanation:

Russell runs 910 mile in 5 minutes. At this rate, how many miles can he run in one minute?

Answers

Russell would run 182 miles for 1 minute.

(2 points)
A polynomial is divided by (x - 2), the quotient is (x – 6), and the remainder is -6
What is the original polynomial

Answers

Answer: x^2-8x+6

=========================================================

Explanation:

n = numerator polynomial = unknown (what we want to solve for)

d = denominator polynomial = x-2

q = quotient = x-6

r = remainder = -6

Based on that, we can say,

n/d = q + r/d

n = q*d + r ... multiply every term by d

n = (x-6)(x-2) + (-6) .... substitution

n = x^2-8x+12-6

n = x^2-8x+6

Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.

what is the distance between (8, -3) and (4, -7​

Answers

Answer: I HOPE IT HELPS

Step-by-step explanation:6

2

8.49

to 2 decimal places

Explanation:

Calculate the distance ( d ) using the  

distance formula

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

d

=

(

x

2

x

1

)

2

+

(

y

2

y

1

)

2

2

2

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−  

where  

(

x

1

,

y

1

)

,

(

x

2

,

y

2

)

are 2 coordinate points

The 2 points here are (-8 ,4) and (-2 ,-2)

let  

(

x

1

,

y

1

)

=

(

8

,

4

)

and  

(

x

2

,

y

2

)

=

(

2

,

2

)

d

=

(

2

+

8

)

2

+

(

2

4

)

2

=

36

+

36

=

72

x

=

36

×

2

=

36

×

2

=

6

2

8.49

ANSWER = MY ETERNAL LOVE determine an equation of the line which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2). make sure to show all work.

Answers

Answer:

Perpendicular Bisector Equation: y = 12x - 9.500

Step-by-step explanation:

Let find out the midpoint for given coordinates as follows:

[(-5+7)/2, (3 +2)/2]

= (2/2, 5/2)

= (1,5/2)

The midpoint coordinates are (1,5/2) means (x1 , y2)

2. Find the slop of line for given coordinates as follows:

(2-3)/(7-(-5)

= -1/12

3. Find the negative reciprocal as follows

-1/12

= 12 (m)

4. Now find the perpendicular bisector equation as follows:

y – y1 = m ( x – x1)

y – 3 = 12 (x – (-5)

y = 12x - 9.5

The required equation of the line is x + 12y = 41 which is the perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).

What is a perpendicular bisector?

A perpendicular bisector is defined as a line that divides an angle into two equal angles.

The perpendicular bisector of the segment whose endpoints are (-5,3) and (7,2).

We have to determine the equation of the line

Let x₁ = -5, y₁ = 3 and x₂ = 7, y₂ = 2

The required of equation line is:

y - y₁ = (y₂ - y₁ )/( x₂ - x₁ )( x - x₁ )

Substitute the values in the formula to get the line,

y - 3 = (2 - 3)/(7 - (-5))(x - (-5))

y - 3 = (-1/12)(x+5)

12y - 36 = -x -5

x + 12y = 41

Thus, the required equation of the line is x + 12y = 41.

To learn more about the equations click here:

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8. John is in a club that collects annual dues. In the first year that he was a member, he paid $20 in club dues. However, the club dues increase by $2 each year. Identify the function that describes the relationship between the number of years that John has been a member of the club and the dues he pays that year.

options:
A. f(n) = 20 + 2(n – 2)
B. f(n) = 20 + 2(n + 1)
C. f(n) = 20 + 2(n – 1)
D. f(n) = 20 + 2n

Answers

Answer:  C) f(n) = 20 + 2(n - 1)

Step-by-step explanation:

The explicit formula is: [tex]a_n=a_1+d(n-1)[/tex]     where

[tex]a_1[/tex] is the first termd is the difference between consecutive terms

Given: In the first year he paid $20  --> [tex]a_1[/tex] = 20

          Dues increase $2 each year --> d = 2

[tex]a_n[/tex] = 20 + 2(n - 1)

Answer:

C  f(n) = 20 + 2(n – 1)

Step-by-step explanation:

got it right on test

Given that the 3rd term in an arithmetic sequence is -2 and the 7th term is -10, tell me what the 1st term in the sequence is. Explain how you know.

Answers

Answer:

2

Step-by-step explanation:

a₃ = -2

a₇ = -10

The nth term of an arithmetic sequence is:

a = a₁ + d (n − 1)

Therefore:

-2 = a₁ + d (3 − 1) = a₁ + 2d

-10 = a₁ + d (7 − 1) = a₁ + 6d

Subtract the equations:

8 = -4d

d = -2

Plug into either equation to find the first term.

-2 = a₁ + 2(-2)

a₁ = 2

An open box is constructed of 3500 cm2 of cardboard. The box is a cuboid, with height h cm and square base of side x cm. What is the value of x which maximises the volume of the box? Give your answer in cm correct to 3 significant figures.

Answers

Answer:

this is confusing and my head hurts

Step-by-step explanation:

Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent
variable.)
Vertex: (-1/2,0)
point:
(-3/2,-16/3)

Answers

Answer:

[tex]y = \frac{16}{3} x^{2} + 16x + \frac{20}{3}[/tex]

4. What do your measurements in #3 tell you about the lengths of PR and QS ? Explain your thinking and then
measure to verify your conjecture. Be sure to state your measurements.

Answers

Answer:mn

Step-by-snbtep explanation:

Multiply. ​ 3 2/3 x 3/4 ​ Express your answer in simplest form

Answers

3 2/3 x 3/4
= 11/3 x 3/4
=11/4
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