How can you use the properties of equality to write equivalent equations?

Answers

Answer 1

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.

a = b and c ≠0, then a c = a c . Another example Consider the equation 12 = 12. Divide both sides by 4.


Related Questions

Solve 3-4/7 with steps pls

Answers

Since there are multiple steps, we would use PEMDAS. Since dividing comes before subtracting, we would divide -4/7 first.
-4/7= −0.571428571428571
Since it’s a really big decimal, we’re going to round it to the nearest hundredth. That would get you -0.57
Next we would do 3-0.57
3-0.57= 2.43


So your answer would be 2.43

Hope it helps :)

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
8 to 20

Answers

Answer:

2/5

Step-by-step explanation:

8 to 20 is 8/20=4/10=2/5

Can someone help me me I think I'm bad at this honestly..

Answers

Answer:

J

A=7.07cm^2

Step-by-step explanation:

A= (pi)(r^2)

diameter=3

radius= 1/2 of the diameter = 1.5

pi = approximately 3.14

A= (3.14) (1.5)^2

A= 7.065 ----> rounds to 7.07

Which number is smaller? cube root of 348, Or the square root of 48

Answers

Answer:

Square root of 48

Step-by-step explanation:

The cube root of 348 is ~7.03, but the square root of 48 is ~6.9. Making the square root of 48 smaller.

PLEASE HELP


The Linear function m=45-8b represents The amount m (in dollars) money that you have after buying b books. select all the values that are in the domain of function.

Answers

Answer:

b = {0, 1, 2, 3, 4, 5}

Step-by-step explanation:

The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.

In this question, we have:

m = 45 – 8b

b is the independent variable because the money, m, depends on the number of books, b, bought.

Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:

45 – 8b = 0,

8b = 45

b = 45/8 = 5.625

For the m, money, to remain positive b shouldn't go beyond 5.625

Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}

Kelsey knit a total of 6 centimeters of scarf over 2 nights. After 4 nights of knitting, how many centimeters of scarf will Kelsey have knit in total? Assume the relationship is directly proportional.

Answers

Answer:

[tex]12[/tex] cm

Step-by-step explanation:

If Kelsey knit a total of [tex]6[/tex] cm of scarf over [tex]2[/tex] nights, then we know that she can knit [tex]\frac{6}{2}=3[/tex] cm each night. Therefore, after [tex]4[/tex] nights of knitting, Kelsey would have knit a total of [tex]3*4=12[/tex] cm of scarf in total. Hope this helps!

Can someone help me with this please i know it’s probs really simple but I’m bad at maths 4/5 of 40 =

Answers

Answer:

32..is ur answer..thnk u

Step-by-step explanation:

4/5× 40

4×8

32

The list below shows all the possible outcomes for tossing a coin and rolling a 1 to 6 number cube. What is the probability that Max tosses heads and rolls a number greater than 2

Answers

Answer:

5

Step-by-step explanation:

5

Step-by-step explanation:

Because you would have to find which numbers have heads then find the one that has more than 2.

help please, solve for x

Answers

Answer:

x=18

Step-by-step explanation:

The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)

[tex]4x=72[/tex]

Divide both sides by 4:

[tex]x=18[/tex]

Hope this helps! :)

BRAINLIEST. HELP pleaseee

Answers

Answer:

2x = 10

Simplifying

2x = 10

Solving

2x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '2'.

x = 5

Simplifying

x = 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-8+2x=10

-8 + 2x + 8 = 10 + 8

2x/2 = 18/2

x=9

Elena has $5 and sells pens for $1.50 each. She wants to
have enough money to buy a $20 shirt and still have money
left over

Answers

Answer:

10 pens

Step-by-step explanation:

Find out how much pens she needs to sell to get $15, to get $15, exclude out how much Elena has.

$20 - $5 = $15

Now divide.

$15.00 ÷ $1.50 = 10 pens

Answer:

She will need to sell more than 10 pens to have enough money to buy a $20 shirt and still have money.

Step-by-step explanation:

1.5x + 5 > 20

         -5   +5

1.5x > 15

/1.5   /1.5

x > 10

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Dalia has 9 hamsters and 4 fish at her house Choose the ratio of fish to the total number of pets. Select all that apple

Answers

Answer:

AYO

Step-by-step explanation:

WHAT GRADE WORK IS THAT THATS A WHOLE STORY

5. You are taking a math quiz and need to complete at least 10 Geometry problems
and Algebra problems within 120 minutes. It will take you 15 minutes for each
Geometry problem and 10 minutes for each Algebra problem. Which system of
inequalities can be used to determine the amount of a, Algebra problems, and g,
Geometry problems you can complete.

Answers

Answer: 15g+10a(less than or equal to <) 120

2g+3a<10

The system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:

[tex]a + g \geq 10[/tex]

[tex]10a + 15g \leq 120[/tex]

We can translate the given situation into inequalities to get the system of inequalities that we can use to find the amount of algebra and geometry problems that can be completed.

Thus:

a = amount of algebra problems

g = amount of geometry problems

Therefore, the inequality that at least 10 geometry and algebra problems will be:

[tex]a + g \geq 10[/tex]

Thus:

15 minutes for each geometric problem = 15g

10 minutes for each algebra problem = 10a

If all is intended to be taken within 120 minutes, therefore, the inequality that represents this will be:

[tex]10a + 15g \leq 120[/tex]

Therefore, the system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:

[tex]a + g \geq 10[/tex]

[tex]10a + 15g \leq 120[/tex]

Learn more here:

https://brainly.com/question/9774970

Subject: Maths

Level: High-school

Topic: transforming graphs

Points: 90

PLEASE HELP!

(i have the answer for part i, i just need hel with ii and iii)

Answers

Answer:

(-1, -5), (-1/2, -3), (-1, -9)

Step-by-step explanation:

The function in vertex form is:

f (x) = a(x - h)² + k, where (h, k) is the vertexf(x) = (x - 1)² - 3

i) y = f(x) - 2 = (x - 1)² - 3 - 2 = (x - 1)² - 5 ⇒ h = 1, k = -5

Minimum point:

(- 1, -5)

ii) y = f(2x) = (2x - 1)² - 3 = 4(x - 1/2)² - 3 ⇒ h = 1/2, k = -3

Minimum point:

(-1/2, -3)

iii) y = 3f(x) = 3((x - 1)² - 3) = 3(x - 1)² - 9 ⇒ h = 1, k = -9

Minimum point:

(-1, -9)

The top of a circular table has a radius of 16 inches. What is the approximate circumference
of the tabletop? Use 3.14 for a.

Answers

Answer:

100.5 inches approximately

Step-by-step explanation:

2πr = circumference

r=16

3.14*16*2=100.48

bro 8.1 • 10-8 is greater than 9.2

Answers

Yep. Correct, I think-

Answer:

Your statement is true

Step-by-step explanation:

:|

can you help me please ??​

Answers

Answer:

25 pages.

Step-by-step explanation:

all the other answers seem to be less than 200. 20(10) is 200, but it says more than 200 pages. so that means the only correct answer is 25 pages per day. 25(10) is 250 pages, exceeding 200.

The translation shown in the graph moves the figure to the right. What kind of translation is shown? ​

Answers

Answer:

Horizontal

Step-by-step explanation:

Answer:

Horizontal...............

yeah i have no idea how to do this

Answers

Answer:

I Hope it will help u

Step-by-step explanation:

Your solution is in image ,

please brain-list it it takes effort ,

I have a channel please subscribe to it i will be thank full

"  ZK SOFT&GAMING"  search this on you-tube.

You receive $8 for raking leaves for 2 hours. What is your hourly wage?

An expression is

An hourly wage is $

Answers

Answer:

your hourly wage is 4

Step-by-step explanation:

Hourly wage will be 4 if done correctly.

HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ

Answers

Answer:

x=10

Step-by-step explanation:

it is saying x-2 multiplied by 5=40

5(x-2)=40

5x-10=40

5x=50

x=10

Answer:

8

Step-by-step explanation:

$8

Can someone please answer this??

Answers

Answer:

corner of the Y Z W They all have a corner

Step-by-step explanation: near 105 im wrong imma give u your points back if i am -

little pic

51 degrees

51 degrees :))))) hope it helps

Melissa made a school banner 3 yards long and 11/12 yard wide what is the area of the banner?


Help pls

Answers

3=36/12
11/12x36/12
396/144
2 3/4

please solve for b

a=b/c

Answers

Answer:

b = ac

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

Answer:

b= ac

Solve for b by simplifying both sides of the equation, then isolating the variable.

The price of an item at the store can be defined by the variable h. Based on this information, which of the options below represents a markup in price for that item? Select all that apply.
A) 1.05h
B) 1.15h
C) 1.03h
D) 0.95h
E) 0.8h

please help this is the last question i have, at least for now :(

Answers

Answer:

i just took the test the answer is A,B and C.

Step-by-step explanation:

Answer:

ABC

Step-by-step explanation:

Which term for set A makes this diagram true? Choose true or false for each term.

Real Number
Rational numbers
A

A. Whole Numbers. True or False
B. Irrational Numbers. True or False
C. Integers. True or False
D. Repeating Decimals. True or False​

Answers

B irrational numbers true or false

Help plzzzzzzzzzzzzzzzzzz

Answers

Answer:

The  given equation is of the form

p( x+ q)² + r   =  [tex]3((x+(-\frac{7}{6})^{2} +(-\frac{61}{12})[/tex]

Step-by-step explanation:

Step(i):-

Given equation  3 x² - 7 x -1

                =  [tex]3(x^{2} -\frac{7}{3} x )-1[/tex]

                = [tex]3(x^{2} -2 X \frac{7}{3X2} +(\frac{7}{6} )^{2}-(\frac{7}{6} ^{2} )-1[/tex]

               = [tex]3(x^{2} -2 X \frac{7}{6} +(\frac{7}{6} )^{2}-(\frac{49}{36} )) -1[/tex]

Step(ii):-

We know that formula

(a-b)² = a² - 2ab + b²

[tex]3x^{2} -7x-1 = 3((x-\frac{7}{6})^{2} -( 3X\frac{49}{36} )) -1[/tex]

[tex]3x^{2} -7x-1 = 3((x-\frac{7}{6})^{2} -\frac{61}{12}[/tex]

Final answer:-

The  given equation is of the form

p( x+ q)² + r   =  [tex]3((x+(-\frac{7}{6})^{2} +(-\frac{61}{12})[/tex]

                     

Write System of Equations from Context

Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 miles per hour and Mason's total expenses for the driver, gas and truck maintenance were $258. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answers

Answer:

x and y

Step-by-step explanation:

Jayne has $150 for her shopping trip. She bought a comforter for $79, 2 pillows for $13 each and a set of sheets for $38. How much did she have left after her shopping trip? Show work please

Answers

Answer: $7


Explanation:

1. Add the prices of all the purchased items together. (79+13+13+38=143)

2. Subtract the amount of money spent (143) from the amount of money she originally had (150) to get the answer. (150-143=7)

please help me i really need it

Answers

Answer:

8

Step-by-step explanation:

x= 3

21-6/3 + 6/2

15/3 + 3/1

5+3=8

Answer:

8

Step-by-step explanation:

plug in 3 for all the x's

7(3)-6/3= 21-6/3=15/3=5

2(3)/2=6/2=3

5+3=8

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