Communicate and Justify:

Tau says that the
sum of -1 3/4 and 2 1/2 is the same as the difference
between 2 1/2 and 1 3/4. Is Tau correct? Explain why
or why not.

Answers

Answer 1

Tau is correct, the sum between -(1 ³/₄) and (2 ¹/₂) is equal to the difference between (2 ¹/₂) and (1 ³/₄)

Is Tau correct?

Remember that the sum between a number A and a negative number -B is written as:

A + (-B)

And that is equal to the difference between A and B.

A - B

In this case, Tau says that the sum between:

-(1 ³/₄) and (2 ¹/₂)

Is written as:

(2 ¹/₂) + (-(1 ³/₄) )

(2 ¹/₂)  - (1 ³/₄)

And, using the above property, we conclude that this is equal to the difference between (2 ¹/₂) and  (1 ³/₄)

So Tau is correct.

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Related Questions

i need drawing ideas

Answers

Answer:

Try drawing whatever makes you feel satisfaction or happiness. There is inspiration all around you. :)

LIST ON WHAT TO DRAW

just draw something colourful

draw something you that you like or admire

or if my options aren't helpful just look for something at the internet

draw anything that you might be in your mind

HOPE IT HELPS

HELP PLEASE!
Anything helps

Answers

Answer:

1. Distributive property

2. Reflexive property

3. Multiplication property of equality

4. Transitive property of equality

5. Addition property of equality

6. Substitution property

Step-by-step explanation:

Answer:

1. Distributive property

2. Reflexive property

3. Multiplication property of equality

4. Transitive property of equality

5. Addition property of equality

6. Substitution property

5 x 10^2 as a standard notation

Answers

Answer:500

Step-by-step explanation:

The equation the quantity 2x minus 20 divided by 3 = 2x models temperature change, where x represents the difference in degrees in the last 24 hours. solve for x.

Answers

The value of x for given equation (2x - 20) /3 = 2x is x = -5

For given question,

we have been given an equation  2x minus 20 divided by 3 = 2x

i.e., (2x - 20) /3 = 2x

This equation models temperature change, where x represents the difference in degrees in the last 24 hours.

We need to solve given equation for x.

(2x - 20) /3 = 2x

(2x - 20)  = 3(2x)                ...........(Multiply by 3 on both sides)

2x - 20 + 20 = 6x + 20      ...........(Add 20 to both sides)

2x - 6x = 6x + 20 - 6x       ..........(Subtract 6x from both sides)

-4x = 20                            

x = -5                                  ..........(Divide by - 4 on both sides)

Therefore, the value of x for given equation (2x - 20) /3 = 2x is x = -5

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What is the value of x, if 32x+11x=172

Answers

Answer:

I think x=4

Step-by-step explanation:

Add 32x+11x

and the answer of that divided by 172.

Hope is correct and can help you.:)

Answer:

x=4

Step-by-step explanation:

If the rectangle below has an area of 32 sq. units, what is the area of the
triangle?
OA. 16 sq. units
B. 24 sq. units
OC. 32 sq. units
OD. 12 sq. units
DA
8
4
8
4

Answers

If the area of the rectangle (as shown below in the reference.jpeg attached hereby for reference) is 32 sq. units, then the area of the triangle shown besides the rectangle will be 16 sq. units.

As per the question statement, area of a rectangle (as shown below in the reference.jpeg attached hereby for reference) having a length of 8 units and width of 4 units is 32.

We are required to calculate the area of the triangle (shown beside the above-mentioned rectangle in the reference.jpeg attached hereby).

From the diagram, it is clear that that base of the triangle is 4 units and since it is a right-angled triangle, it's altitude or height is 8 units.

Now the formula to calculate the area of a triangle (A) having base "b" and height "h", goes as [tex]A=(\frac{1}{2}*b*h)[/tex]

Inserting the values of our concerned triangle in the above mentioned formula, we get, Area = [tex](\frac{1}{2}*4*8)=(\frac{4*8}{2})=\frac{32}{2}=16[/tex].

Rectangle: A rectangle is a 4-sided closed polygon (quadrilateral), having 4 right angles, and two pairs of equal and parallel opposite sides.Triangle: This is a 3-sided closed polygon.

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There are 17 biscuits in a packet.
There are 24 packets of biscuits in a box.
How many biscuits are there in a box in total

Answers

Answer:

408 buiscuits

Step-by-step explanation:

it easy you will just multiply 17(no of buiscuits) × 24(packets of buiscuits)

total = 17×24

total = 408 buiscuits in a box

please rate brainliest if helps

408 biscuits is the answer.

To show -1 + (-6) on the number line, which directions would you move? A right one unit, then left six units B left one unit, then right six units C right one unit, then right another six units D left one unit, then left another six units

Answers

Answer: to the left -7

Step-by-step explanation: -1 + -6 = -7

D) Left one unit, then left another six units.

-1 + (-6) = -7

In simplified form, the square root of 18 is _____. i need help ASAP i will give brainliest

Answers

The Answer is 4.25

hope fully this helps

Answer:

√18 = 3√2

Step-by-step explanation:

√18

√(9×2)

√9 × √2

3 ×√2

= 3√2

Does anyone know this answer???

Answers

Answer:

slope = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 6, - 5 ) and (x₂, y₂ ) = B (- 4, - 8 )

m = [tex]\frac{-8-(-5)}{-4-(-6)}[/tex] = [tex]\frac{-8+5}{-4+6}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]

the answer to your question is -3/2.

atie said, “Negative numbers are integers.” What was her error?

Answers

Answer:

An integer is any positive or negative number.

Her error was saying only negative number s

Hope this helps

Good luck ✅

Integers are defined as whole numbers which excludes out fractions and decimals. Atie’s vague statement does not describe that fact. Instead, Atie implies that all negative numbers, like -1.5, are considered integers. Hence her error is considering that all negative numbers (which may be fractions or decimals) are integers when in reality, only all whole numbers that are negative are integers.

Which angle is supplementary to ∠NPI?

Answers

Answer:

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180

which description best explains the domain of ? the elements in the domain of f(x) for which g(f(x)) is defined

Answers

According to the given data the domain of g[f(x)] is all real numbers.

√2 and -√2.

The correct option is 1.

What is domain?

The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.

According to the given information:

We will respond to this question using two functions:

f(x) = x² and g(x)

= x²/ x-2

Because the domain of f(x) is the set among all real numbers,

Except for 2, the domain of g(x) is all real integers.

Now

g[f(x)]= g(x²)

=  x²/ x-2

Except for real numbers, the domain of g[f(x)] is all real numbers.

√2 and -√2.

The following is the best definition of the domain of g[f(x)]:

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I understand that the question you are looking for is:

Which description best explains the domain of (g(f(x))?

the elements in the domain of f(x) for which g(f(x)) is definedthe elements in the domain of f(x) for which g(f(x)) is not zerothe elements in the domain of g(x) for which g(f(x)) is definedthe elements in the domain of g(x) for which g(f(x)) is not zero

if $n$ is a positive integer, then let $f(n)$ be the sum of the digits of $\frac{1}{5^{{}^n}}$ that are to the right of the decimal point. what is the smallest positive integer $n$ such that $f(n) > 10$?

Answers

The smallest positive integer is 1.

What is positive integer?

Positive Numbers definition the meaning of positive whole numbers in numerical states that "Numbers that are more noteworthy than zero are positive numbers". Numbers can be grouped into three kinds: negative whole numbers, zero, and positive whole numbers. Normal numbers are extremely normal to people since they come from counting objects like apples or sheep.

If s is integer

S = n (a + l)/2

Normal numbers can be utilized to assess your assets, the amount of you possess. There is no biggest regular number. The following regular number can be found by adding 1 to the ongoing normal number, creating numbers that go on "for eternity". Every one of the numbers we use for counting are positive whole numbers. Positive numbers are entirely of a bigger gathering of numbers called whole numbers. Numbers are the entire numbers, both positive and negative. By entire numbers we mean numbers without divisions or decimals.

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4n square + 5n - 636 split the middle term

Answers

Step-by-step explanation:

4n² + 5n - 636

splitting the middle term

4n² + 53n - 48n - 636 = 0

n(4n + 53) - 12(4n + 53) = 0

(n - 12) (4n + 53) = 0

n = 12 and n = -53/4

What does the symbol BC represent

Answers

Answer:

Step-by-step explanation:

The answer is postulate. That is a rule that is accepted as true without proof.

a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. if the sum of the areas of the two squares is 400 in2, find the length of each piece of wire.

Answers

For the given wire, the length of each piece of wire will be 76inch and 24 inch and quadratic equation will be x² - 100x + 1800 = 0

What is a quadratic equation?

An algebraic equation of a second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

Given,

Length of wire = 100 inches

Sum of the areas of two squares = 400 inch²

let length of one wire - x

the length of other wire will be - 100-x

Now, the area of the square = Side²

⇒ (x/4)² + ((100 - x)/4)² = 400

⇒ (1/4)²  (x² + 10000 + x² - 2(100)(x)) = 400

⇒ 10000 + 2x² + - 200x = 400 × 16

⇒ 2x² - 200x = 6400 - 10000

⇒ 2x² - 200x = - 3600

⇒ x² - 100x + 1800 = 0

⇒On solving for the value of x, we have x= 76 and 24

Now,

76/4 = 19,

24/4 = 6

So, we have the length of each wire as 76inch and 24inch

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Can anyone help me with this?

Answers

[tex]Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.[/tex]

Find the length of a rectangle with a perimeter of 32 meters and a width of 5 meters

Answers

Answer:

Length is 11 meters

Step-by-step explanation:

Formula we use,

→ P = 2(l + w)

Then the length of rectangle will be,

→ 32 = 2(L + 5)

→ 2L + 10 = 32

→ 2L = 32 - 10

→ L = 22/2

→ [ L = 11 m ]

Hence, the length is 11 meters.


Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
A(1,7), B(4,2), C(7,7)

Answers

The triangle with vertices located at A(1 , 7), B(4 , 2), and C(7 , 7) has its centroid located at (4 , 16/3).

The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.

To get the centroid of a triangle, use the formula given by:

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where C is the centroid of the triangle located at (x , y)

x1, x2, and x3 are the x-coordinate of the vertices of the triangle

y1, y2, and y3 are the y-coordinate of the vertices of the triangle

Let Point 1(x1 , y1) =  A(1 , 7)

Point 2(x2 , y2) = B(4 , 2)

Point 3(x3 , y3) = C(7 , 7)

Plug in the values in the formula.

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

C(x ,y) = [(1 +4 + 7)/3 , (7 + 2 + 7)/3]

C(x ,y) = (12/3 , 16/3)

C(x ,y) = (4 , 16/3)

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Which of the following is true for f?

Answers

Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

What is the correct domain and range?

We are given the function;

f(x) = {3x - 1, if -9 < x ≤ -2

        {-5, if -2 < x ≤ 1

        {x - 6, if 1 < x < 7

Now, the domain of a function is defined as the set of all possible input values that make the function to exist. Meanwhile, the range of a function is the set of all possible output values that make the function to exist.

Looking at the given intervals and combining them all, we can tell that the domain is as follows; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

Now, the range for 3x - 1 is;

3(-9) - 1 = -28 and 3(-2) - 1 = -7

Range is greater than -28 and less than or equal to -7

Range of x - 6 will be greater than -5 and less than 1

Looking at the options, the only one that is true of the function f(x) over the given intervals is; The domain is; -9 < x ≤ -2, -2 < x ≤ 1 and 1 < x < 7

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mrs.wendell has a farm with a hard of 159 cows. the weights of her cows are shown in the histogram. mrs. wendell sells all the cows that weigh between 800 and 1199 pounds approximately what percent of her cows does ms. wendell sell?

Answers

According to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.

What exactly is a histogram, and why is it useful?

A popular charting tool is a histogram. On an interval scale, it is used to describe either discrete or continuous data. It is widely used to show the key properties of distribution of the data in an easy-to-understand fashion.

How do you interpret a histogram?

Examine the histogram to see if it shows a normal distribution. Once you've plotted all of the frequencies here on the histogram, it will take on a shape. If the shape resembles a bell curve, it indicates that perhaps the frequencies are evenly distributed. A peak would appear on the histogram.

Briefing:

Ms. Wendell sells 25% of her her cows. While purchasing a cow, it is important to remember that weight is an important factor. While there may be some exceptions, the majority of cows sold in the United States weigh between 800 and 1200 pounds.

So, if your farm falls within this range, it would be wise to consider buying a cow from Mrs. Wendell .

Additionally, based on these numbers alone, it would make sense for you to purchase one or more cattle from Mrs. Wendell.

Therefore,

according to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.

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What is the distance between (-3, 6) and (5, 2)

Answers

The distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.

Distance between two points in x y plane by distance formula is:

= √{(x₁ - x₂)² + (y₁ - y₂)²}

Substituting the values of the points:

= √{( -3 - 5 )² + ( 6 - 2 )²}

Solving it further:

= √{( -8 )² + ( 4 )²}

= √{ 64 + 16 }

= √80

= √(2× 2 × 2 × 2 ×5 )

= 2×2× √5

= 4√5

So, the distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.

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according to​ statistics, a person will devote years to sleeping and watching tv. the number of years sleeping will exceed the number of years watching tv by . over the​ lifetime, how many years will the person spend on each of these​ activities?

Answers

27 years are spent sleeping; 8 years are spent watching television.

What are examples of linear equations?

The typical form for linear equations with two variables is Ax+By=C. For instance, the linear equation 2x+3y=5 is in standard form. Finding both intercepts of an equation in this style is quite easy (x and y). This form is also very useful when attempting to solve structures involving linear equations.

Let n constitute the quantity of years looking TV.

Then sleeping equals n+19. So:

             n+n+19=35

                2n=16

                  n=8

8 years are spent watching TV; 27 years are spent sleeping.

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just simplify help for math

Answers

Answer:

156

Step-by-step explanation:

8 divided by 1 4/5 write the quotient in lowest terms

Answers

According to the given statement;

Quotient in lowest terms for 8 divided by 1 4/5  is 4.4444444

what is fraction?

A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object. Let's use an illustration to better comprehend this idea. The pizza in the following image has been sliced into 8 equally sized pieces. Now, if we wish to refer to a single portion of the pizza, we can do so by using the notation 1/8, which indicates that we are talking about one portion out of 8 equally sized portions.

According to the given values;

8 : 1( 4/5) = 40/9

= 4 4/9

≅ 4.4444444

Hence, Quotient in lowest terms for 8 divided by 1 4/5  is 4.4444444.

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Simplify. Express your answer using positive exponents. (7t)(5t8)

Answers

Answer:

280t^2

Step-by-step explanation:

(7t) (5t x 8)

(7t) (5x8t)

(7t) (40t)

280t^2

Hope this helps u ; )

Molly us playing softball. Early in the game she has 12 catches. For the game Molly had -5 catches. How many catches did she drop?

Answers

Molly dropped 7 balls and caught 5

Stocks ms. patel invested a total of $825 in two stocks. at the time of her investment, one share of stock a was valued at $12.41 and a share of stock b was valued at $8.62. she purchased a total of 79 shares. select the system of equations that model the situation. solve by using substitution.

Answers

Ms Patel purchased 38 shares of stock a and 41 shares of stock b

Total amount invested in the two stocks = $825

Value of stock a = $12.41

Value of stock b = $8.62

Let the number of shares of stock a be x

Let the number of shares of stock b be y

Therefore, forming the equation we get:

x + y = 79------(1)

12.41x + 8.62y = 825

1241x + 862y = 82500 ------(2)

Multiplying equation (1) by 862 we get,

862x + 862y = 68098------(3)

Equating equations (2) and (3) we get

379x = 14402

x = 38

Putting x = 38 in (1) we get

y = 41

Hence, she purchased 38 shares of stock a and 41 shares of stock b

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Question
What is the value of x in this figure?

Enter your answer in the box.

x =

Answers

Answer:

360° = 131° + 110° + 107° + 108°

360° = 456° + x

.: x = -96°

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