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.

Answers

Answer 1

Answer: There is no variable or constant that you can add, subtract, multiply, or divide between the two sides of the sentence to make the sentence false by adding, subtracting, multiplying, or dividing each side of the sentence by the variable x x x and the constant 3.

Answer 2

Answer: No. Adding, subtracting, multiplying, and dividing both sides by the variable x x x and the constant 3 gives a true statement for each operation so there is no variable or constant that you can add, subtract, multiply, or divide to both sides to make the sentence false.

Step-by-step explanation:


Related Questions

if a cone has a volume of 28.63 and a diameter of 4.5 what is the height​

Answers

Answer:

height = 5.4 units

Step-by-step explanation:

r = 4.5/2 = 2.25

B = πr² = 3.14(2.25²) = 15.90

V = 1/3Bh

28.63 =1/3(15.90)h

85.89 = 15.90h

h = 5.40 units

A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? How much flour is left over after 8 days?

Answers

Answer:

She uses 8.52 kgs of flour in 8 days

There are 6.48 kgs of flour left over after 8 days.

Step-by-step explanation:

First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.

1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.

Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.

15 - 8.52 = 6.48 kgs.

PLEASE HELP

The filament of a car headlight is a thin wire that glows when electricity passes through it. Parabolic reflectors with a filament at the focus send light out in a straight beam. The cross section of a 2 inch deep headlight reflector has the equation y2=6x.

A. Draw a sketch of this situation. Include the location of the focus in your drawing.

B. How wide is the beam of light projected from the headlight's reflector? Show all work and give your answer as a decimal rounded to hundredths place.

Answers

Answer:

A. Please find attached the drawing of the reflector showing the location of the focus created with Microsoft Excel

B. The width of the beam of light projected from the headlight's reflector is approximately 6.93 inches

Step-by-step explanation:

The given equation representing the cross section of the headlight reflector is y² = 6·x

The shape of the reflector = Parabolic

The general equation of a parabola is (y - k)² = 4·p·(x - h)

The focus of the parabola, Focus = (h + p, k)

By comparison to the general equation of a parabola, from the equation of the reflector, we have;

k = 0, h = 0, 4·p = 6

∴ p = 6/4 = 3/2 = 1.5

∴ The focus of the parabola = (1.5, 0)

A. Please find attached the graph of the equation of the cross-section of the reflector, showing the filament at the focus, created with Microsoft Excel

B. The depth of the reflector is x = 2 inches

A vertical or horizontal parabola has two x-values for a given y-value or two y-values for a given x-value respectively

For the given horizontal parabola, the width of a parabola at a point is the difference between the two y-values at the point

At x = 2, we have;

y² = 6 × x = 6 × 2 = 12

∴ y = ±√(12)

The two y-values at x = 2 are y₁ = √(12) and y₂ = -√(12)

The width of the parabola, w = y₁ - y₂

The width of the parabola at x = 2, w = √(12) - (-√(12))

∴ w = √(12) +√(12) = 4·√3

The width of the parabola at x = 2, w = 4·√3 inches

The width of the parabola at x = 2 = The width of the beam of light projected from the headlight's reflector = 4·√3 inches

By giving the answer as a decimal and rounded to the hundredths place, we have;

The width of the beam of light projected from the headlight's reflector ≈ 6.93 inches.

6x - 12 = 84
x = ?
find x

Answers

Answer:

x=16

Step-by-step explanation:

Answer:

6x-12=84 x=16 hope that helps

Step-by-step explanation:

6x-12=84x

   +12 +12

6x=96

then you divide 6 by 96 and thats how you get 16

use exterior angle measures to solve for h

Answers

Answer:

h = 125

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

h = 63 + 62 = 125

Solve for x and show your work! For each equation choose if there are:
• zero solutions for x • exactly one solution for x • or an infinite number of solutions for x.
3x + 5 = 7 + 3x


2(3x + 9) = 18 + 6x

Answers

3x+5=7+3x 2(3x+9)=18+6x
-3x -3x 6x+18=6x+18
—————- -6x -6x
5=7 ———————
-5 -5 18=18
—————— -18 -18
0=2 —————
Zero solution 0=0
An infinite number of solution

Which phrase from the text most clearly explains the main idea of the third paragraph? (5 points)
Memory uses general knowledge
Other memories and other stories
When telling a friend about the event
Rather than the actual participant

Answers

Answer:

is there an image of the story?

Answer:

A. Memory uses general knowledge

I deeply apologize if it's wrong but that's just what I think.

Also, I just took the test with this question and I'm pretty sure I got it correct.

A number s divided by 2

Answers

Answer:

s/2 is the equation

Step-by-step explanation:

76.57143 nearest tenth

Answers

Answer:

76.6

Step-by-step explanation:

so the nearest tenth is 76.57143

Answer:76.6

Explanation:

is .849 greater than .90

Answers

Answer:

NO it isnt.

Step-by-step explanation:

Go right of the decimal and throught the different place values. Since the number just right of the decimal is the highest place value, whichever number is greater, holds the greater value.

no it isn’t greater then .90

Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Baseline) (y Superscript negative 2 Baseline) Over 2 (x Superscript 4 Baseline) (y superscript negative 4 Baseline) EndFraction) Superscript negative 3, when x = negative 1 and y = 2.

Step 1:
Substitute x = negative 1 and y = 2 into the expression.
(StartFraction (negative 1) Superscript negative 3 Baseline (2) Superscript negative 2 Baseline Over 2 (negative 1) Superscript 4 Baseline (2) superscript negative 4 Baseline) EndFraction) Superscript negative 3
Step 2:
Simplify the parentheses.
(StartFraction (2) Superscript 4 Baseline Over 2 (negative 1) Superscript 4 Baseline (negative 1) cubed (2) squared EndFraction) Superscript negative 3 Baseline = (StartFraction (2) squared Over 2 (negative 1) Superscript 7 Baseline EndFraction) Superscript negative 3
Step 3:
Evaluate the power to a power.
StartFraction (2) Superscript negative 6 Baseline Over 2 Superscript negative 3 Baseline (negative 1) Superscript negative 21 baseline EndFraction
Step 4:
Use reciprocals and find the value.
StartFraction 1 Over 2 cubed (2) Superscript 6 Baseline (negative 1) Superscript 21 Baseline EndFraction = StartFraction 1 Over 8 times 64 times (negative 1) EndFraction = Negative StartFraction 1 Over 512 EndFraction

In which step did Rena make the first error?

Answers

Answer:

c) Step 3

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

the person above me is wrong :)

Here is the histogram of a data distribution.
5 4 3 2
1'2'34'5'6'7'8'9 '10
Which best describes the shape of this distribution?
O A. Bimodal symmetric
B. Bimodal skewed
O c. Uniform
O D. Unimodal skewed
O E. Unimodal symmetric

Answers

I think is B.............

The given histogram is unimodal skewed.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

This histogram is unimodal skewed.

There are two parts to this answer. The first part has to do with the number of modes.

This would be the item that is occurring the most frequently. In this case the mode is only 4.

It is occurring more than any other.

The second part of this has to do with the distribution of the data as it is displayed on the histogram.

There are 4 pieces of data that are only occurimg one time on the right of the histogram. We call this skewing the data.

When both sides looks almost the same we say it is symmetric.

Hence, the given histogram is unimodal skewed.

To learn more on Graph click:

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Ming took a cab across town. His fare was $22, and he leaves an 18, percent tip.
What is the total amount Ming pays the cab driver?

Answers

Answer:Ming pays $25.96 to the cab driver.

Step-by-step explanation:

Ming took a cab across town, his fare of cab = $22.00

He leaves a tip of 18% of total fare = 18% of $22.00

Total amount = (18% of $22) + $22.00

( 18/100× 22) + 22.00

= (0.18 × 22) + 22.00

= 3.96 + 22.00

= $25.96

Ming pays $25.96 to the cab driver.

If t represents the amount of time Neda has spent typing the second letter, which equation states the rule used to determine the number of words, W, Neda has typed today?

Answers

Answer:

W = t + 200

Step-by-step explanation:

Number of words typed in the first letter = 200

The relationship between the total words typed, W and the number of seconds, t spent on the second letter :

W = number of words typed in first letter + t

W = 200 + t

Choosing any pair of values from the table :

W = 245 ; t = 45

W = 200 + 45

W = 245

Therefore, the number of words, W typed today can be represented as

W = 200 + t

What is the distance between the points (3, 4) and (3, -7)

Answers

Answer:

distance is estimated 11

Solve this problem please.

Answers

Answer:

Step-by-step explanation:

i dont know

Answer:

y = -1/2x+5

Step-by-step explanation:

South Street: y = 2x-4

Perpendicular slope to 2 is -1/2

Find any point on new street: (2,4)

4 = -1/2(2) + b

4= -1 + b

5 = b

PLS HELP ASAP Find the volume of the hemisphere. Round to the nearest tenth.


the hemisphere ft(or radius i guess) is 4

Answers

Answer:

If the radius is 4, then:

Volume = 1/2(4/3)(π)(r³) = 1/2(4/3)(3.14)(4³) = 134.0 ft³

Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c

Answers

Answer:

ab=4c

Step-by-step explanation:

Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.

Answer:

ab=4c

Step-by-step explanation:

Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:

Say you have a x b = 5 x 5c

It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!

The price of an item has been reduced by 5%. The original price was $20. what is the price of the item now?

Answers

Answer:

I think its 19

guyssss ANYONEEE PLSSS!!!!!I NEED HELP LIKE ACTUALLY

Answers

Answer:

infinite number of solutions

Each piece of cardboard is 0.3 centimeters thick. If Tyler stacks 5 pieces of cardboard on top of one another, how thick will the stack be?

Answers

Answer:

1.5 inches thick

Step-by-step explanation:

The answer is 1.5 inches

does anyone know the answer for this problem :P

Answers

Answer:

A: 6x^2 + 19x + 3

Step-by-step explanation:

6x + 1 (x +3)

use the foil method so first do 6x(x) and you get 6x^2 then 6x(3) + x(1) and you get the 19x then you just do 3(1) and you get your answer which as stated above is 6z^2 + 19x + 3

I’m about to spam questions if you can answer them please do .

Answers

Answer:

x is 70

Step-by-step explanation:

hope this helps you

Can some one help me its due today please help im struggling!!!

Answers

Answer:

Problem 27: 35

Step-by-step explanation:

This is because 7 times (Multiplied) by 9-4 is 35. We get here by doing 9-4=5. This problem then turns into 7(5)

I know the answers to this problem. I will give brainiest to the first one who ANSWER IS CORRECT.
255 X 35 X 97 X 56 ÷ 2

Answers

Answer:

24240300

Step-by-step explanation:

multiply the numbers thand divide by 2.


The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 44 m. Find the dimensions of the rectangle

Answers

Answer:

Length of Rectangle is 3 cm less than twice the width

Area is 44 m2 ; let W = width;  2W - 3 = Length

Arect = L times W

44 = W ( 2W - 3 )

44 = 2W2 - 3W

0 = 2W2 - 3W - 44

Factoring

0 = ( 2W - 11 )( W +4)

2W - 11 =0   ;            W + 4 = 0

       W = 11/2                 W = -4  (width can not be a negative number)

Therefor: width is 11/2  and length is 8

I need help please! I don’t understand.

Answers

.....................
H fffghhjjrkrk isjjehdjsjjd the last one

What is the perimeter of this tile
3in 3in
Is it in or in^2

Answers

Answer:

12

Step-by-step explanation: each side is 3, and there are 4 sides so 3*4=12

The answer to this would be 12

Q Review / Finish Test
Tools -
ABC
Question 3
Theo is an athletic trainer who works with high school football and baseball players. This clients, 40% play football, and the rest play baseball. Of the students who play football, 30% are on the varsity team,
while 50% of Theo's baseball clients are on the varsity team. What percent of Theo's clients are on the varsity team?

Answers

The percentage of Theo's clients are on the varsity team will be 27%

What will be a percent of Theo's clients are on the varsity team?

It is given in the question that

clients, 40% play football

clients, 60% play Baseball

Of the students who play football, 30% are on the varsity team,

50% of Theo's baseball clients are on the varsity team.

So clients who play football and are on the varsity team will be

[tex]0.4\times 0.3=0.12[/tex] = 12%

And clients who play baseball and are on the varsity team will be

[tex]0.6\times 0.5=0.15[/tex]=15%

The total percent of the varsity team will be =12+15=27%

Thus the percentage of Theo's clients are on the varsity team will be 27%

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Help???? I don’t know which one it is

Answers

Answer:

A

Step-by-step explanation: Rreminder be happy and stay confident <3

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