Why are inverse operations and
properties of equality important when solving
equations? Explain.

Answers

Answer 1

Answer:

An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.


Related Questions

Part 1: Explain what the following variables represent and how changing each one affects the monthly payment amount: P, i, and t.
Part 2: Explain how changing each variable (P, i, and t) affects the total cost of principal and interest over the life of the loan.

Answers

Answer:

Part 1 and 2: P represents principle, or the original cost of the mortgage. i represents the annualinterest rate (r/n), and t represents time. When you change the time it affects monthlypayments because theres either more or less time to pay off the mortgage. Having a longertime to pay off means you'll have lower monthly payments. When the interest rateincreases, the monthly payment increases. This is because the higher the interest rate, themore interest you're paying. Changing the principle means you either have more or lessmoney to pay off.P2: Increasing i will increase the total cost since more interest will be charged. Increasingtime means there's more periods for interest to gather so the total cost will increase.Shortening the time will decrease the total cost because there will be less time for interestto accumulate.

please help me with this!!

Answers

Answer: yes

Step-by-step explanation:

Lets look at side AC and BC.

BC = 10

AC = 15

10/15 = 2/3

Now side CE and CD.

CD = 8

CE = 12

8/12 = 2/3

SO YES!

What does the word Expressions mean in mathematics in your own words?

Answers

Answer:

Expression in mathematics means word problem.

Match each word to its definition. 1. biased sample 3 sample where every member of the population has an equal chance of being selected 2. convenience sample 4 sample where members volunteer to take part 3. unbiased sample 6 members are selected from the different subgroups within a population 4. self-selected sample 5 sample members are selected through the use of a rule 5. stratified sample 2 sample where representatives are easily accessible 6. systematic sample 1 sample not representative of the entire population

Answers

Answer:

1. Unbiased sample.

2. Self-selected sample.

3. Stratified sample.

4. Systematic sample.

5. Convenience sample.

6. Biased sample.

Step-by-step explanation:

1. Unbiased sample: sample where every member of the population has an equal chance of being selected.

For example, a researcher randomly selecting a shopping mall and questioning the customers coming there.

2. Self-selected sample: sample where members volunteer to take part.

For example, a researcher uploading a questionnaire online and then requesting for brainly members to take part.

3. Stratified sample: members are selected from the different subgroups within a population.

For example, when a geographical region is stratified into subgroups by climate, habitat, soil type or elevation. A population grouped by males or females.

4. Systematic sample: sample members are selected through the use of a rule.

For example, a researcher selecting the 10th house on a particular street.

5. Convenience sample: sample where representatives are easily accessible.

For example, a researcher using a social media poll such as Twitter polls.

6. Biased sample: sample not representative of the entire population.

For example, a researcher selecting only females when trying to determine the best cook in a class.

Answer:

1. biased sample  

5

members are selected from the different subgroups within a population  

2. convenience sample  

6

sample members are selected through the use of a rule  

3. unbiased sample  

2

sample where representatives are easily accessible  

4. self-selected sample  

3

sample where every member of the population has an equal chance of being selected  

5. stratified sample  

4

sample where members volunteer to take part  

6. systematic sample  

1

sample not representative of the entire population  

Step-by-step explanation:

1. After running, Maggie is 3 miles east of her starting point, and 4 miles north of her starting point. What angle could represent her direction of travel?​

Answers

Answer:

The angle is 53.13 degrees

Step-by-step explanation:

Here, we want to calculate angle representing the direction of travel

From the question, she is 3 miles east and 4 miles north of her starting point

So the angle that represents her direction of travel will be that which makes a cut with the horizontal (the east direction)

Now, let us picture a right-angled triangle, with 3 miles direction being the adjacent and the 4 miles direction (facing the angle we want to calculate and is the opposite)

the trigonometric identity to use is the Tangent

Tan theta = 4/3

theta = arc tan (4/3)

theta = 53.13 degrees


[tex]( \sin^{2} ( \frac{\pi}{ 4 } - \alpha ) ) = \frac{1}{2} (1 - \sin(2 \alpha ) )[/tex]
Prove​

Answers

Step-by-step explanation:

[tex] \sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Use the identity

[tex] \sin^2 \theta = \dfrac{1 - \cos 2\theta}{2} [/tex]

on the left side.

[tex] \dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Now use the identity

[tex] \sin \theta = \cos(\frac{\pi}{2} - \theta) [/tex]

on the left side.

[tex] \dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

What dividend is represented by the synthetic division below?

Answers

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

I took the test and I got a 100%

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

Liz wants to buy a shirt for $25 how much will Liz’s shirt cost in a total if sales tax is 4%

Answers

26$

Step-by-step explanation:

1% = 4/100 * 25

1% = 1

25 + 1 = 26

Another way to solve

Percentage increase = 100% + 4%

104/100 = 1.04

1.04 * 25 =26

Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Isosceles Right

Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.

Answer:

Isosceles Right

Step-by-step explanation:

PLEASE LOOK AT PICTURE! WHOEVER HAS CORRECT ANWSER I WILL MARK BRAINIEST!!!

Answers

Answer:

Its A

Step-by-step explanation:

need a quick answer please

Answers

Answer:

5

Step-by-step explanation:

The answer would be 62 if it requires another 32 and explanation
Bababoey

if i have 50 assignments to do and 4 days to do ot how many assignments do i need to do a dwy to get them done on time​

Answers

Answer:

12.5assignments

Step-by-step explanation:

50 assignments over 4 days

50/4

=12.5 assignments

Answer: I just did a semesters worth of work in a day and a half. You can do this!!! I know it’s frustrating and hard and you’re probably burned out but keep pushing. It’s worth it :)

Step-by-step explanation:

Solve there Systems of equations. 2x + y = 15
3x - y = 5

Answers

Answer:

your answer would be (4, 7)

Step-by-step explanation:

Yes the answer is four and seven

ASAP SOMEONE HELP ME PLZ

Answers

Ok so you find the area of the yellow and the red and the area of the yellow you subtract it with the area aid the red that should give you the correct answer

PLEASE HELP ME ASAP!!

Answers

Answer:

8. 5/6

9. 6.25, 6 and 1/4

10. 14.4

Step-by-step explanation:

Sorry that this is a little late. All of these problems end up with the same process to get to the answer. Since you want to find the rate, you would want to divide the amount of time taken by itself to find the unit rate. So basically, 8. would be 20 cm in 24 hours. You would divide both by 24 and you get 20/24 cm in 1 hour. and then you simplify the fraction and boom, there's your answer.

this is so confusing ngl​

Answers

Answer:

The ornament is 1, the light is 4, the grinch is 12, the hat is 16, and the dog reindeer thing is 48

Can I plz get the congruence and reason plz

Answers

Congruence is when there are 2 objects that have the same shape and size, or they "mirror" each other.

Question 6:

Congruence:

Yes, these two objects are congruent.

Reason:

They are congruent, because they have the same size and shape, or that they  "mirror" each other.

Question 7:

Congruence:

Yes there is congruence, here. These two objects are similar shapes, but not completely congruent.

Reason:

These two objects have the same size, but not the exact same shape. If you look at point B you can see that the two angles are different, which means that they are similar shapes, but not completely congruent.

Hope this helps! :)

hi sorry im slow could anyone help ?

Answers

Step-by-step explanation:

your answer is 60

hope it helps :)

try this...............

If you have a negative value for m what quadrants will the line be in?

Answers

Answer:

If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III.

Step-by-step explanation:

2+2 can anyone help me

Answers

Answer:

Yea sure I gotchu my dude

Step-by-step explanation:

so The answer was complicated to find but its................. (correction)

4!)

can u believe it! the people down below would understand.

Answer:

2+2=4

Step-by-step explanation:

If you have 2 cookies, and your mom turned crazy and gave you 2 more, then you have 4 in total.

Hope this helped!

Though if you mom actually did that, please report she may have gone crazy. lol

the sheep died yesterday why

Answers

Answer:

it just died because of natural causes haha

Step-by-step explanation:

Answer:

uhhh maybe because it got old or lack of care for they sheep or it got hunted ;-;

Step-by-step explanation:

Simplify -|-7 + 4| Quick please

Answers

Answer:- | -7 + 4 |

=  - | -3 |           Since  | -3 |  =  3:

=  - (3)

=  - 3

Answer:

3 or -3

Step-by-step explanation:

Since this is an absolute value, this will be 2 answers.

If |-7+4|=3

then the equation = -3

If |-7+4|=-3

then the equation =3

Multiply the two binomials 6x - 5 and 2x + 3 and write your answer in
simplified terms

Answers

Answer:

x = 2

Step-by-step explanation:

6x + -5 = 2x + 3

-5 + 6x = 2x + 3

-5 + 6x = 3 + 2x

-5 + 6x + -2x = 3 + 2x + -2x

-5 + 4x = 3 + 2x + -2x

-5 + 4x = 3 + 0

-5 + 4x = 3

-5 + 5 + 4x = 3 + 5

0 + 4x = 3 + 5

4x = 3 + 5

4x = 8

x = 2

How could the statement "12 less than x" be written?

Answers

Answer:

The statment would be written as "12 - x".

Georgia needs to buy flea treatment for her dog. Pet Store 1 is offering the flea treatment for 40 percent off plus an additional 25 percent off their regular price of $33. Pet Store 2 is offering the same flea treatment for 55 percent off plus an additional 5 percent off their regular price of $34. Which location is offering the better price and how much cheaper is it? The flea treatment is $0.31 cheaper at Pet Store 2. The flea treatment is $1.05 cheaper at Pet Store 2. The flea treatment is $2.05 cheaper at Pet Store 1. The flea treatment is $2.36 cheaper at Pet Store 1.

Answers

Answer:

The flea treatment is $2.05 cheaper at Pet Store 1.

Step-by-step explanation:

Pet store 1

Regular price = $33

40% off the regular price

= 40% of $33

= 0.4 × 33

= $13.2

25% off the regular price

= 25% of $33

= 0.25 × 33

= $8.25

Total paid = $33 - $13.2 - $8.25

= $11.55

Pet store 2

Regular price = $34

55% off of the regular price

= 55% of $34

= 0.55 × 34

= $18.7

5% off of the regular price

= 5% of $34

= 0.05 × 34

= $1.7

Total paid = $34 - $18.7 - $1.7

= $13.6

Difference in price = $13.6 - $11.55

= $2.05

The flea treatment is $2.05 cheaper at Pet Store 1.

Logan multiplied 54,216 by a number less than 1. He thinks the product will be greater than 54,216. Explain why he is incorrect.

Answers

He is incorrect because anything mutipled by 0 is 0!

here's the question for is you can't see.

what is the vertex of the equation below?
y=2(x-3)>2+4

1. (2,4)
2. (-3,4)
3. (-2,4)
4. (3,4) ​

Answers

From [tex]y=a(x-h)^2+k[/tex]

The vertex is at (h, k)

Therefore, from [tex]y=2(x-3)^2+4[/tex]

The vertex is at (3,4).

Thus, the answer is 4. (3,4)

Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is StartFraction 2 Over 9 EndFraction of an inch thick, which expression can be used to determine the number of books that will fit into the box? 18 2/9 18 times 2/9 2/9 divided by 18 9/2 divided by 18

Answers

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

= 81 books

The correct answer is A. 18÷2/9

What is the slope of the line

Answers

Answer:

the slope is 2

Step-by-step explanation:

rise over run - 2/1

help me please, if it's right i'll mark you brainliest :D

Find the area of the parallelogram.

Answers

Answer: i think it's 64

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