Why must you perform the same operation on both sides of the equation when isolating the variable

Answers

Answer 1

Answer:

You must perform the same operation on both sides of the equation when isolating the variable in order to keep the equation balanced.

Step-by-step explanation:

According to the properties of equality, you must perform the same exact operation to each side of the equation, so you must also subtract from to keep the equation balanced.

Related Questions

The ratio of ounces of nuts to ounces of raisins is to . In 4 batches of trail mix, the number of ounces of nuts is and the number of ounces of raisins is . The ordered pair (18, 9) means 18 ounces of to 9 ounces of .

Answers

Answer:

Step-by-step explanation:

i actully dont know but i just want points sorry 4=85 -18+18

Answer:18

Step-by-step explanation:

first-line 6

second-line 3

third-line 6 again :P

fourth-line 3 again :3

fifth-line 6

sixth-line 3

Find the nth term for the
following sequences:
Q2)3, 9, 15, 21

Answers

Answer:

[tex]a_{n}[/tex] = 6n - 3

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 9 - 3 = 15 - 9 = 21 - 15 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 6, then

[tex]a_{n}[/tex] = 3 + 6(n - 1) = 3 + 6n - 6 = 6n - 3

Select the equation of a straight line that is perpendicular to the line y = 3x-2

Answers

Perpendicular lines have slopes whose product is -1. The slope given in
y = 3x - 2
is -3.
The slope of the perpendicular line will be m, and m needs to satisfy the equation
3 * m = -1
Hence m = -1/3.
Our perpendicular line is thus
y = (-1/3)x + b
for some constant b.
We are told that the perpendicular line goes through the point (-9,5). If so, then the following must hold:
5 = (-1/3)(-9) + b
= 3 + b
b = 2
Ans: y = (-1/3)x + 2

what is the greatest whole number that satisfies the inequality 3x -1 < 8 ?

Answers

Answer:

Step-by-step explanation:

3x is a varable and -1 is an integer

a. 4.0
b. 16.0
c. 12.5
d. 11.7

Answers

Answer:

Step-by-step explanation:

to find the answer you do the square root of (x2-x1)^2+(y2-y1)^2.

So you just plug it in and get the equation of

the square root of (-4-2)^2+(-8-2)^2 which equals 11.66190379

then you round to the tenths which then comes out to 11.7

Answer:

D. 11.7

Step-by-step explanation:

= √(−4−2)^2 + (−8−2)^2

= √(-6)^2 + (−10)^2

= √36 + 100

= √136

= 11.66 which rounds to 11.7

A shopkeeper bird and electric item for rupees 1520 and sold it at 10% loss find the loss amount

Answers

Answer:

The answer is 152

Step-by-step explanation:

When you have a number in between 9999 and 1000 you can divide by 10 to get ten percent of the number

★Appropriate Question:-A shopkeeper brought an electic item for rupees 1520 and sold it at 10%. Then loss find the loss amount.★Solution:-Cost of item = ₹1520Sells at loss of 10%[tex] = \frac{152 \cancel0 \times 1 \cancel0}{1 \cancel0 \cancel0} \\ \ = 152[/tex]Hence , Loss amount = ₹152.

The US consumers in average of 5.15 million metric tons of banana per year. There are 319 million people in the US and there are 1000 kg in one metric ton. Round answer except last one to three significant digits. How many kilogram of bananas are consumed per person per year.

Answers

Answer:

bananas consumed per person per year are 4.42 × [tex]10^{-2}[/tex]

Step-by-step explanation:

given data

consumers in average = 5.15 million metric tons

population = 319 million

solution

we get here bananas are consumed per person per year that is express as

bananas consumed = total banana consumed ÷ ( total population × 365 ) .................1

put here value and we get

bananas consumed = [tex]\frac{5.15 \times 1000}{319 \times 365}[/tex]

so, bananas consumed per person per year are 0.044231 kg = 4.42 × [tex]10^{-2}[/tex]

a train is 12 feet tall. a model of the train was built with a scale of 1 inch : 3 feet. how tall is the model of the train

Answers

Answer:

3 inch

Step-by-step explanation:

1 inch = 3 feet

12 feet = x

x = 12/3

x = 3

Max drives 105 miles per week. If he drives an equal number of miles each day, then how many miles will max drive in a 30 day month

Answers

Answer:

350 miles

Step-by-step explanation:

if max drives 105 miles per week

you should first find out how many miles max drives per day.

there are 7 days in a week so :

105 ÷ 7 = 15

so for 30 days max will drive 15 × 30 = 350 miles

1 day : 15 miles

30 days : 350 miles

Answer:

450!!!!!!!!!!

Step-by-step explanation:

Factor out the coefficient of the variable. 5d + 25

Answers

Answer:

5(d+5)

Step-by-step explanation:

Find the GCF which is 5

divide:

5 divided by 5d is d

5 divided by 25 is 5

Answer:

5(d+5)

Answer:

5(d+5)

Step-by-step explanation:

Just find LCM and divide when divided multiply the whole thing by the LCM

Pls help!!! 30 points

Answers

Answer:

2.4x-4.4

Step-by-step explanation:

0.3(4x-8)-0.5(-2.4x+4)

1.2x-2.4+1.2x-2

2.4x-4.4

Answer:

D. 2.4x -4.4

Step-by-step explanation:

0.3(4x-8)-0.5(-2.4x+4)

1.2x-2.4-0.5(-2.4x+4)

1.2x-2.4+1.2x-2

2.4x-4.4

5x + 2y - 3 is an expression.
True or False

Answers

Answer:

False

Step-by-step explanation:

It does not have an equal sign, therefore making it a false equation

Write the expression in factored form: 36x 18y + 9

Answers

Answer:

9(36x + 18y)

Step-by-step explanation:

36x 18y + 9 is

Factor
9
9
out of
36
x
18
y
+
9
36
x
18
y
+
9
.
9
(
4
x
18
y
+
1
)

Is the perimeter of an equilateral triangle proportional to the side length of the triangle?Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

I think so because it's the same on both sides.

I don't know man. I'm not the best at math :)

What is the true solution to 2 In eln5x = 2 In 15?
O X=0
O X=3
O X=9
O X= 15

Answers

9514 1404 393

Answer:

x = 3

Step-by-step explanation:

Maybe you want the solution ...

[tex]2\ln{(e)}\cdot\ln{(5x)}=2\cdot\ln{(15)}\\\\2\cdot1\cdot\ln{(5x)}=2\cdot\ln{(15)}\\\\5x=15 \qquad\text{divide by 2, take antilog}\\\\x=3 \qquad\text{divide by 5}[/tex]

The list shows 8 of Takisha's math quiz scores.
70, 81, 82, 82, 82, 89, 94, 100
What is the mean absolute deviation of her quiz scores?

Answers

Answer: 85

Step-by-step explanation:

Add all the numbers together than

divide by 8

♡ The Question/Task ♡

-What is the mean absolute deviation of her quiz scores?

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

-The mean absolute deviation of her quiz scores is 7!

I apologize in advance if this is incorrect! ♡

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

-No Explanation/Step-By-Step Provided!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No Tips Provided!

What is 35% of 60? just had to be 20 words

Answers

Answer:

35% of 60 = 21

the answer is 21

this is how you set it up

x/60=35/100

you first multiply 35 and 60 and your answer should be 2100 then you divide 2100 by 100 and that equals 21

i hope this helped i learned about this a month ago

Sally can paint a room in 9 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?

Answers

You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.

This answer makes sense: It takes Sally three hours by herself; with Steve's help, she's faster, but not THAT much faster, because he's pretty slow. You can often spot-check word problem answers like this by giving it a common sense once-over. If we came up with four hours, that would clearly be wrong: it should take her LONGER if she's getting help.

Answer:

2 1/4 hours

Step-by-step explanation:

Okay, so- The first thing I did was see how much they got done per hour. Like this:

Sally ⇒

3 hours = 1 room

1 hour = 1/3 of the room

Steve ⇒

9 hours = 1 room

1 hour = 1/9 of the room

Sally + Steve ⇒

1 hour = 1/3 + 1/9 = 3/9 + 1/9 = 4/9

So, they get 4/9 of a room done in 1 hour.

Number of hours needed ⇒

1 ÷ 4/9 = 2 1/4

Answer: They need 2 1/4 hours to paint the room.

× _____ ÷ =

ALGEBRAALGEBRAALGEBRAALGEBRAALGEBRA

Answers

Answer:

ALGEBRA indeed

Step-by-step explanation:

lololol

which type of lines is shown below?

Answers

Answer:

Perpendicular

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

The lines shown are intersecting meaning they cannot be parallel as parallel lines never intersect. Moreover, the square in the corner means these lines form a right angle. Lines that intersect and form right angles are perpendicular.

PLEASE HELP ASAP!! Will mark BRAINLIEST!!!Which equation describes the function in the table below?...I kinda had to just put the numbers, it wouldn't put the table...lol
x 0 5 10 15 20
y 10 6.5 23 29.5 36

A. y = 1.3x + 10
B. y = x + 10
C. y = 3.3x + 10
D. y = 1.3x

Answers

i’m pretty sure it’s D just bc it starts at 0 and all the other answers start ahead of 0

Answer:

A. y = 1.3x + 10

Step-by-step explanation:

[tex]f(x) = 1 .3x + 10 \\ f(0) =1.3(0) + 10 = 10 \\ f(5) =1.3(5) + 10 = 16.5 \\ f(10) =1.3(10) + 10 = 23 \\ f(15) =1.3(15) + 10 = 29.5 \\ f(20) =1.3(20) + 10 = 36[/tex]

You can’t see the whole thing but I think it says expand i don’t know

Answers

Answer:

I cant see it at all sorry do you think you can take another picture

The museum of natural history has an auditorium that can seat 200 people. A class of 45 students is seated in the auditorium for a lecture. What decimal represents the portion of the seats in the auditorium that are empty ?

Answers

Answer: 1.55

Step-by-step explanation:70 percent sure, might be .155

please hurry I need to get this done HURRY!!!!!!!

Use the linear combination method to solve the system of equations.

–2.1x + 4y = 5.3

2.1x – 5.5y = –0.2

What is the solution to the system?

(, )

Answers

Answer:

The solution to the system of equations is:

[tex]x = -9[/tex], [tex]y=-3.4[/tex]

Step-by-step explanation:

Given the system of equations

-2.1x + 4y = 5.3

2.1x - 5.5y = -0.2

Solving the system of equations using the linear combination method

[tex]\begin{bmatrix}-2.1x+4y=5.3\\ 2.1x-5.5y=-0.2\end{bmatrix}[/tex]

adding the equations

[tex]2.1x-5.5y=-0.2[/tex]

[tex]+[/tex]

[tex]\underline{-2.1x+4y=5.3}[/tex]

[tex]-1.5y=5.1[/tex]

solving -1.5y = 5.1 for y

[tex]-1.5y=5.1[/tex]

Divide both sides by -1.5

[tex]\frac{-1.5y}{-1.5}=\frac{5.1}{-1.5}[/tex]

[tex]y=-3.4[/tex]

substitute y = -3.4 in 2.1x - 5.5y = -0.2

2.1x - 5.5y = -0.2

2.1x - 5.5(-3.4) = -0.2

2.1x + 18.7 = -0.2

2.1x = -0.2-18.7

2.1x = -18.9

Divide both sides by 2.1

[tex]\:\frac{2.1x}{2.1x}\:\:=\:\:\frac{-18.9}{2.1}[/tex]

[tex]x = -9[/tex]

Therefore, the solution to the system of equations is:

[tex]x = -9[/tex], [tex]y=-3.4[/tex]

i need help someone help pls and thx

Answers

Answer:

Two

Step-by-step explanation:

hope this helps tell me if I'm wrong though

Amanda has $40 to spend on used books. Hardcover books cost $5 and paperback books cost $8
each. Which equation in standard form determines the number x of hardcover books and the
number y of paperback books she can buy?
Hi I need help asap plz

Answers

Answer:

5x + 8y= 40

Step-by-step explanation:

helppppppppppppp plzzzzzzzzzzzzzzzzz

Answers

Answer:

33.25

Step-by-step explanation:

Answer:

33.25

Step-by-step explanation:

this is probably the answer

Serena Williams opened a savings account to deposit all her tennis winnings. She initially deposited $8000. After a year of monthly deposits, her account balance is $1400. How much did she deposit a month? (slope)

You get 59 points if you do this and I'll give brainlist if correct

Answers

Answer:

Step-by-step explanation:

Deposited amount 8000$

One year - 12 months

divide 8000 by 12

666.666666667

so one month

666.666666667

The hummingbird population on an island is declining at a rate of 1.4% per year. The population was 5500 in the year 2009.

What is the best prediction of the hummingbird population in the year 2016?

Enter your answer, rounded to the nearest integer, in the box.
The hummingbird population will be

Answers

Answer:

Step-by-step explanation:

I took the quiz

Answer:

The answer would be 77

Step-by-step explanation:

*image is attached above*

Answers

Answer:

a = 16

Step-by-step explanation:

The altitude YB is at right angles to the base XZ , then

∠ YBZ = 90° , so

6a - 6 = 90 ( add 6 to both sides )

6a = 96 ( divide both sides by 6 )

a = 16

Other Questions

Determine the standard enthalpy of formation of SrI2(s) using a BornHaber cycle. Enthalpy of sublimation of Sr(s) = 164 kJ/mol 1st ionization energy of Sr(g) = 549 kJ/mol 2nd ionization energy of Sr(g) = 1064 kJ/mol Enthalpy of sublimation of I2(s) = 62.4 kJ/mol Bond dissociation energy of I2(g) = 152.55 kJ/mol 1st electron affinity of I(g) = 295.15 kJ/molLattice energy of SrI2(s) = 1959.75 kJ/mol HELP ME PLZ I NEDD A ON ThIS SO GET ME RIGHT I WELL GIVE BAIRELEST this is what happens when you let your dog in the snow. its always heartwarming to see torch play. Why do some totalitarian regimes attempt to dissolve tradition (religion, traditional customs, etc.)? A book sold 36,600 copies in its first month of release. Suppose this represents 7.1% of the number of copies sold to date. How many copies have been sold to date? Please help! a) Beatrice lives in a small town of 5,000 people. There are 1,500 people under the age of 16,500 people who are retired, 2,750 people who have jobs, and 250 people who are activelylooking for work. What is the unemployment rate of Beatrice's town? Wjat two factors contributed to the spread of islam in africa What are the three elements of an editorial?o the introduction, the purpose, and the closingo the introduction, the body, and the conclusionO the opinion, the purpose, and the call to actiono the headline, the opinion, and the closing Please help me with this homework how would the fraction 51-(3 be rewritten if it's denominator is rationalized using difference of squares 6x^2+13x+12Plz help me If point P is Four-sevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into? 4:1 4:3 4:7 4:10 Scott bought 8 packs of pencils for y dollars per pack. Which expression shows how much Scott pays for the pencils? The light-colored peppered moth was a dominant species in England prior to the industrial revolution. With an increase in the black soot produced by industries, more dark-colored peppered moths began to appear in areas where trees were covered by soot. Gradually, the dark-colored moths dominated the population by over 98%.What is one explanation as to why natural selection resulted in the presence of more dark-colored moths over time?A.The light-colored moths were eaten by birds in larger quantities because they tasted better.B.The light-colored moths were not able to survive the soot-polluted environment.C.The dark-colored moths were resistant to the pollution due to a gene mutation.D. The dark-colored moths were better camouflaged so they were not eaten by birds as often. csc [tex]x = \frac{1}{sec x}[/tex] Read the following questions and fill in the blanks with most appropriate words from the options:-The bat is the only mammal .. can flya) thatb) whichc) whod) whose Please help me solve it The length of a side of a regular pentagon is f + 12.Write the perimeter of the figure in one simplifiedexpression. Adaptation is - A. the ability to change to fit ones environmentB. a trait that helps an organism survive and reproduceC. being the biggest organism in a populationD. turning a popular book into a movie What was President Polks explanation for the Mexican-American War?