Is it possible to make an equation from these two equations? If so, do they have infinite solutions, no solutions, or one solution?


Consider the mathematical sentence 2 = 2.

Is there any variable or constant that you could add to or subtract from both sides, or multiply or divide both sides by using the Properties of Equality to make this true sentence false? Choose variables and constants to create new mathematical sentences to justify your conclusion


Consider the mathematical sentence 2 ≠ 3.

Is there any variable or constant that you could add to or subtract from both sides, or

multiply or divide both sides by using the Properties of Equality to make both sides equal? Choose variables and constants to create new mathematical sentences to justify your conclusion.

Answers

Answer 1

Answer:

For the equation 2 = 2, it is not possible to make this equation false by using the Properties of Equality. This is because the equation is already true, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has one solution.

For the equation 2 ≠ 3, it is not possible to make both sides equal by using the Properties of Equality. This is because the equation is stating that the two sides are not equal, and any manipulation of the equation using the Properties of Equality would not change this fact. Therefore, this equation has no solutions.


Related Questions

solve simultaneously
2 log y=log 2 + log x
2 to power y = 4 to power x

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

Pls help me I’m failing lolz :)

Answers

Answer: For no solution it would mean that there is no answer to the equation. For infinite solutions it would mean that any value for the variable would make the equation true.

Explanation: For example of no solution 6=5 as you can tell 6 is not the same to 5 so there is no solution. More examples are 2=3, 8=10, and 1=0. For infinite solutions examples are 2=2, 7=7, and 10=10 as we can see 2 does equal 2 and 7 equals 7 which makes it true and infinite.

Determine if the given value is a solution of the inequality. Show your work.

7 – 2y > 3y + 13; y = -1

Answers

Given:

[tex]7-2y>3y+13[/tex]

To find:

The whether the value [tex]y=-1[/tex] is a solution of the given inequality or not.

Solution:

We have,

[tex]7-2y>3y+13[/tex]

It can be rewritten as

[tex]-2y-3y>13-7[/tex]

[tex]-5y>6[/tex]

Divide both sides by -5 and change the inequality sign.

[tex]y<\dfrac{6}{-5}[/tex]

[tex]y<-1.2[/tex]

All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.

[tex]-1>-1.2[/tex]

Therefore, [tex]y=-1[/tex] is not a solution of the given inequality.

Will arrived at his mother's office at 11:00am. It took him 30 mins to walk from his home to the mall. Will was in the mall for 45 mins. It took will 15 mins to walk from the mall to the office. At what time did will leave home?

Answers

Answer: 9:30 am

Step-by-step explanation:

To solve this question, add up the time that Will spent walking from his home to the mall and then the length of time he spent in the mall and then the amount of time it took him to walk from the mall to the office:

= 30 + 45 + 15

= 1 hr 30 mins

Then deduct this number from 11:00 am to find out when he left home:

= 11 am - 1 hr 30 mins

= 9:30 am

How is the Pythagorean theorem related to the distance formula? Explain.

Answers

Answer:

Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.

Step-by-step explanation:

i got it right on edge 2021

(1) Is climate change causing more severe storms? In a 2017 pre-Hurricane Irma

survey, 486 out of 1,080 adults answered in the affirmative. In a 2017 post-

Hurricane Irma survey, 546 out of 1,050 answered affirmatively. Establish a 90%

Confidence interval estimate of the difference (pre- minus post-hurricane) between

the proportions of adults pre-Hurricane Irma and post-Hurricane Irma who believe

climate change is causing more severe storms.

Answers

Answer:

90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

Step-by-step explanation:

The formula for difference in proportions is given as:

p1 - p2 ± z × √p1(1 - p1)/n1 + p2(1 - p2)/n2

p = x/n

In a 2017 pre-Hurricane Irma

survey, 486 out of 1,080 adults answered in the affirmative.

x1 = 486

n1 = 1080

p1 = 486/1080 = 0.45

In a 2017 post- Hurricane Irma survey, 546 out of 1,050 answered affirmatively.

x2 = 546

n2 = 1050

p2 = 546/1050 = 0.52

Z score for 90% confidence interval = 1.645

Confidence Interval

=0.45 - 0.52 ± 1.645 × √0.45 (1 - 0.45)/1080 + 0.52(1 - 0.52)/1050

= -0.07 ± 1.645 × √0.0002291667 + 0.0002377143

=-0.07 ± 1.645 × √(0.000466881)

= -0.07 ± 1.645 × 0.0216074293

= -0.07 ± 0.0355442212

Confidence Interval

-0.07 - 0.0355442212

= 0.1055442212

Approximately = -0.106

-0.07 + 0.0355442212

= -0.0344557788

Approximately = -0.034

Therefore, 90% Confidence Interval for difference in Proportion = (-0.106, -0.034)

2) Solve : You and a friend go to El Super Taco after school. You order three soft tacos and two burritos and pay $11. Your friend pays $8 for four soft tacos and one burrito. How much do tacos cost? How much do burritos cost?​

Answers

Answer:

A burrito costs 2.8 dollars.

Step-by-step explanation:

3b + 2t = 11

1b + 4t = 8

b = 14/5, t = 13/10

14/5 as a mixed number is 2 4/5

4/5 of a dollar is 80 cents.

So b = 2.8

A burrito costs 2.8 dollars.

whats the equation to #4

Answers

Answer:

I'm guessing this is for volume

Step-by-step explanation:

The equation to number 4 is

15 x 10 x 12= 1,800 in³

Find the constant of proportionality (k). Using the value for k, enter an equation in the form of y = kx.

Answers

Answer:

k = 4, y = 4x

Step-by-step explanation:

From the question, we get the ratio of :

x : y = 1 : 4

Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.

In the question, the two variables are :

x = glasses of lemonade

y = lemons used

From the question, the ratio of y is to x is given by :

y : x is   24 : 6 = 4 : 1     or   24/6 = 4

            32 : 8 = 4 : 1     or   32/8 = 4

            28 : 7 = 4 : 1     or   28/7 = 4

             8 : 2 = 4 : 1      or   8/2 = 4

            16 : 4 = 4 : 1     or   16/4 = 4

So here the constant is 4 . Therefore, the constant of proportionality, k is 4.

So we can write the equation as :

y = kx

or y = 4x

Camden put $25,000 in an investment 10 years ago. The investment increased in value by 5.6% per year. What is the value of the investment now?

Answers

Answer:

$26,000

Step-by-step explanation:

5.6% of $25,000

=$1400

$1400+$25,000= $26,000

Based on the samples collected if there are 10000 voters in the town how many voters can we predict will vote for smith

Answers

The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided

Answer:

Kindly check explanation

Step-by-step explanation:

We can make prediction about a population based on the outcome of a sample statistic.

From a random sample of voters, n ; the number who voted Smith = x

(p = x / n) gives the proportion of votes Smith will get according to the sample :

For instance :

n = 100 ; x = 10

p = 10 / 100 = 0.1

The predicted Number of votes Smith will Get if there are 10000 voters :

p * 10000

0.1 * 10000

= 1000 votes

Solve the equation for y.
3y = -6x + 1
y =

Answers

The answer is y=-2x+1/3

During his past seven basketball games, Manuel scored 35, 37, 43, 47, 52, 29, and 31 points respectively. Therefore, his mean number of points per game was 39.14.

What did calculating that number tell him about his game?
A.
Manuel would know that he will make at least 39 points per game in the future.
B.
Even though Manuel does not score exactly 39 points in every game, he tends to score on average 39 points per game.
C.
Manuel would know that he will make at most 39 points per game in the future.
D.
Manuel would know that both he and his teammates will contribute an average of 39 points each per game.

Answers

B. It’s the average. Not a definite 39 points

How can you use a table or a graph to determine if a function is linear or nonlinear?

Answers

Answer: To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

Step-by-step explanation:

• A. x = 1
• B. x = -4
• C. x = -1
• D. x = -3​

Answers

Answer:

C

Step-by-step explanation:

The parabola is symmetrical at x = -1.

If you were to fold it over itself, it would match up if you folded at x = -1

Larry surveyed 20 students at random about their pizza preference and found that 14 prefer cheese pizza. If 150 students are expected to attend the after school pizza party, about how many books prefer cheese pizza?

Answers

Answer:

its 105 yw pls mark me brainliest pls

Step-by-step explanation:

105 students  prefer cheese pizza.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are represented or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

If Larry surveyed 20 students then 14 students prefer cheese pizza.

So, the fraction for students who choose prefer cheese pizza is

= 14/20

Now, there are 150 students then number of students who prefer cheese pizza

= 14/20 x 150

=  2100/20

= 105

Hence, 105 students  prefer cheese pizza.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

Joe and his 2 friends are making Smores. Each Smore uses 1/4 of a chocolate bar and the package has 8 chocolate bars. How many Smores can the boys make?

Answers

Answer:

They made 2 smores. 1/4(8) = 2

Which of the following images show a rotation of 270 counter-clockwise?

Answers

Answer:

top left

Step-by-step explanation:

All statements of equality below are correct ? Need help!

Answers

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

I need help with this please

Answers

Answer:

27

Step-by-step explanation:

2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27

Answer:

27°

Step-by-step explanation:

angle 1 is vertically opposite to angle 2

angle 2 is correspondence to angle 4

vertically opposite and corresponding angles are equal

Please answer correctly! I will mark Brainliest!

Answers

Answer:

Mind Making A New So We Can Help?

Step-by-step explanation:

PLEASE HELP- I NEED CORRECT ANSWER!!
Select the correct answer. Which inequality is graphed on the coordinate plane?
A. y < 4x + 2
B. y > 4x + 2
C. y ≤ 1/4x +2
D. y ≥ 4x + 2
E. y ≤ 4x + 2

Answers

Answer:

y > 4x + 2

Step-by-step explanation:

Y is above the line so the value has to be greater than the line (or equal to, possibly). So it represents > or ≥

A dotted/dashed line is non-inclusive, so it represents < or >.

Since it is both above the line AND non-inclusive, we would use this sign:

>

and this equation :)

y > 4x + 2

Have a nice day. Feel Free to ask questions. Spread the Love.

Answer: y > 4x + 2

Step-by-step explanation:

Four less than six times a number equals 73

Answers

Let the number be [tex] \rm x [/tex]

Given ;

4 less than < 6 times a number = 73

A/Q

Equation forms ➝

[tex] \rm\implies \: 6x - 4 = 73 \\ \rm \implies \: 6x = 73 + 4 \\ \rm \implies \: 6x = 77 \\ \rm \implies \: x = \frac{77}{6} \\\\ \rm \therefore x = 12.83 [/tex]

Now, let's check it whether the value is correct or not.

{ Use BODMAS rule here }

Bracketofdivisionmultiplyadditionsubtraction

Now come to the point [tex]\red ✓[/tex]

➝ 12.83 × 6 - 4 = 73

➝ 76.98 - 4 = 72.98 which is equal to 73.

As we know that if after decimal number exceeds 5 it is converted to its next number.

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Hope this helps you mate ✅

Have a cheerful evening ☺️

I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

It is correct

Yes It is correct just checked !

help me nowwwwwwwwwwwwwwwww

Answers

Answer:

volume = 3x6x2 = 36 cubic inches

Step-by-step explanation:

Answer:

That's easy, just take base times width times Hight. or in this case 6x2x3=

do this on a calculator. :)

Step-by-step explanation:

And anytime you are doing volume, it will always be cubed.

What is mpo?
128°
O 1730
O 1920
O 256°

Answers

Answer:

it's the 2nd one because

Step-by-step explanation:

have a nice day

Evaluate.



5^3 − (64/8) + 10^2



Enter your answer in the box.

Answers

Answer:

210

Step-by-step explanation:

Answer:

217

Step-by-step explanation:

5³ − (64/8) + 10²=125-8+100=217

can someone help with just question 3 and 4 i will give brainliest

Answers

1. No because he read more 30 pages more times than he read less than 30 pages. A good estimate would be 32.

Jesean buys a pizza for 20$ and 10 drinks. The drinks Cost the same amount. He spends 32$ on the pizza and the sodas together

Answers

Answer: See explanation

Step-by-step explanation:

Yiur question isn't complete but I believe that you want to know the price of the soda.

Let the price of the soda be represented by x.

Jesean buys a pizza for 20$ and 10 drinks. This will be: 20 + 10x

He spends 32$ on the pizza and the sodas together. This can be formed into an equation as:

20 + 10x = 32

10x = 32 - 20

10x = 12

x = 12/10

x = 1.2

Therefore, the soda cost $1.20 each

What’s the measure of A?

Answers

Answer:

x= 15 and the equation is 3x+5x+4x=180

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