Which expression uses the commutative property to make it easier to evaluate -12 · 13 · 1/3?
A. 12 · 13 · 1/3
B. -12 · 1/3 · 13
C. -1/3 · 13 · 12
D. 1/3 · 13 · (-12)

Answers

Answer 1

Answer:

Not sure it's either B. or D I put B.

Step-by-step explanation:

Answer 2

The commutativity property is used to get

-12×13×1/3 = -12×1/3×13

What is Commutative property?

According to mathematics, an arithmetic operation is commutative if switching the operands' positions has no effect on the computation's outcome.

When two numbers A and B are provided, the commutative property of the numbers formula is as follows:

A+B=B+A

A×B=B×A

A-B≠B-A

A÷B≠B÷A

According to the commutative property formula, the outcome is unaffected by the sequence in which two integers are added or multiplied. However, the order of the integers matters for subtracting and dividing any two real numbers, thus it cannot be altered.

How to solve?

The commutativity property is used to get

-12×13×1/3 = -12×1/3×13

such that the evaluation becomes easier, which is to get 12×1/3=4.

The commutativity property is used as follows:

-12×(13×1/3)=-12×(1/3×13)

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Related Questions

?...

1 + (-2 - 5) to the 2nd power + -3 x 4​

Answers

Answer:

-3

Step-by-step explanation:

(1 + (-2-5))^2+-3X4

(1+(-3))^2 + -12

-3^2 -12

9-12

-3

2.Yolanda is buying supplies for school. She buys n packages of pels at $1.40 per package and m pads of paper at $1.20 each. What does each term in the expression 1.4n + 1.20m represent? What does the entire expression represent? Interpret the meaning of the term 1.4n. What does the coefficient 1.4 represent? Interpret the meaning of the term 1.20p. What does the coefficient 1.20 represent?

Answers

Answer: 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

Given: Cost per package of pels = $1.40

Cost per pad of paper = $1.20

Number of packages of pels bought = n

Number of pads of paper bought = m

So, 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Which two points should the line of best fit go through to best represent the data in the scatterplot?​

Answers

Given :   A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).

To find :  From Which two points the line of best fit goes through

Solution:

(3, 8) &  (5, 12) will be two points

as then line  points will be

( 1 ,  4 ) , ( 2, 6) , ( 3 , 8 ) , ( 4, 10) , (5 . 12)  & ( 6 , 14)

(1, 3)   will be below ( 1 ,  4 )

(2 , 7) will be above ( 2 , 6)

( 3 , 8 ) will be on line

(4 , 11 ) will be above ( 4 , 10)

( 5 , 12  ) will be on line

( 6 , 13)  will be below ( 6 ,  14 )

(1, 3)  & ( 6 , 13)  two points are below line

(2 , 7) & (4 , 11 )  two points above line

Hence points are Equally scattered above  & below line

Hence (3, 8) &  (5, 12) will be two points on   line of best fit

Hope it helpss !!

The two points which  the line of best fit go through to best represent the data in the scatter plot is Option A.

The points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be A

Let the two points be A and B

where the point A is A ( x₁ , y₁ ) = A ( 2 , 7 )

The point B ( x₂ , y₂ ) = B ( 1 , 3 )

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

m = ( 7 - 3 ) / 2 - 1 )

m = 4

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = 4 ( x - 2 )

y - 7 = 4x - 8

y = 4x - 1

The equation of line is y = 4x - 1

So , the points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

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2x + 1 = 2x - 1 how many solutions?

Answers

Answer:

the answer is 2

Step-by-step explanation:

I need to solve 11-20 ASAP pls

Answers

In num 11 the upper level just next to 26x-3 is 36x-3 and the lower level just next to 36x-3 is 26x-3 In num 20 the lower level of v is 96degrees so they prove the paralysme

I NEED HELP WITH 3 MORE PROBLEMS
30 POINTS
Questions 2,3,4

Answers

Step-by-step explanation:

let, width= x

then length= x+5

if both are increased by 5 feet then

new width =x+5

and length = x+5+5=x+10

therefore

area =(x+5)×(x+10)

next are same as first one.Have a try.

Step-by-step explanation:

answer see in attachment

To estimate a number less than 5 we we should Round down for example 44 then 4 is less than 5 so it's estimated number is 40

Tina has two rectangular playpens to keep her new pet dogs. The first rectangle has a width of 6 feet and a length of x - 4 feet. The second rectangle has a width of 8 feet and a length of x + 2 feet. What is the sum of the two perimeters?

Answers

Answer:

4x+24 ft.

Step-by-step explanation:

Perimeter of first rectangular playpen mentioned: 2(6+x-4), which can be simplified to 2(x+2) = 2x + 4.

Perimeter of second playpen mentioned: 2(8+x+2), which can be simplified to 2(x+10) = 2x+20.

Add these two together: 2x+4 + 2x+20 = 4x+24. Don't forget to add units: 4x+24 ft.

7. A checking account is
overdrawn by $10 on both Friday
and Saturday. By how much was
The account overdrawn?

Answers

20$ because 10+10 is 20
20 dollars? because if you add up the $10 for Friday and Saturday, it makes $20 dollars. I may be wrong tho.

The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8500 ​ft, the liquid boils at 199.55 F. At an altitude of 4300 ​ft, the liquid boils at 206.69 F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at ​ft?

Answers

Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.

I give Brainliest!!
Using Angle Side Relationship Theorem, use the angle measures to list the side lengths of the triangle in order from longest to shortest. (First you must find the value of angle
AB BC AC

Answers

Answer:

side BCside ABside AC

Step-by-step explanation:

list the side lengths of the triangle in order from longest to shortest

from the given triangle.

find angle A

       ∠A = 180 - 65 - 30

      ∠A = 85

angle side relationship theorem:

In a triangle, the side opposite the larger angle is the longer side

∠A = 85 = side BC∠C = 65 = side AB∠B = 30 = side AC

7. Solve the inequality.
4(x + 3) - 7 ≥ x + 3(x + 1) *
A. x<5
B. x > 3
C. no solution
D. all real numbers

Answers

Answer:

d) all real numbers

Step-by-step explanation:

Answer:

D. all real numbers

Step-by-step explanation:

4(x + 3) - 7 >= x + 3(x + 1)

4x + 12 - 7 >= x + 3x + 3

4x + 5 >= 4x + 3

5 >= 3 which is correct

so the solution are all real numbers.

I hope this helps you :)

Which linear inequality is represented by the graph?

1 y 1/2x + 2
2 yx+2
3 y=x+2
4 y2 x + 2

Answers

Answer:

A

Step-by-step explanation:

The linear equation of inequality is y ≤ ( x/2 ) + 2

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The x intercept of the equation is when y = 0

So , A ( -4 , 0 ) is the x intercept

And , the y intercept is when x = 0

So , B ( 2 , 0 ) is the y intercept

Therefore , the inequality is y ≤ ( x/2 ) + 2 and the graph is plotted

Hence , the inequality is y ≤ ( x/2 ) + 2

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What happens when there is an unbalanced force acting?

This is for science

Answers

When there is an unbalanced force acting on an object, it changes its speed and/or direction of motion.

Follow my Pinterest 13jadyn13

Answers

You know that seems very interesting

Help with a and b? Thank you

Answers

Step-by-step explanation:

 Given data:

         Cars      Vans    Others

          60          21          3

The data represents the number of cars on a single day.

Find the relative frequency;

It is the number of times an event occurs.

Here the time frame is within a day;

  Relative frequency = [tex]\frac{number of cars + number of vans + others}{number of days}[/tex]  

  Relative frequency  = 60 + 21 + 3  = 84vehicles per day

ii.

Number of vans in a week;

      Number vans  in a week  = 21van per day x 7 days  = 147vans

write QF if it's Quadratic function and NQF if Not a Quadratic function​

Answers

Answer:

1. QF2. NQF3.  NQF4. QF5. QF6. Undefined, unclear

Step-by-step explanation:

1. f(x) = x^2 + 2

It is a quadratic function as in the format of y = ax^2 + bx + c

2. f(x) = 2x - 10

It is linear function, not quadratic

3. It is linear function as y- is an arithmetic sequence

Not a quadratic function

4. As per the pairs we can determine the function:

y = 1/2x^2 + 1/2xIt is a quadratic function

5. The graph is parabola

It is a quadratic function

6. Undefined as not clear what is it

Point Lis a centroid of the triangle FWD, If RL = 54 cm, what is RD?

O 81 cm
O 162 cm
O 100 cm
O 58 cm

Answers

Answer:

RD = 162 cm

Step-by-step explanation:

LD = 2 RL = 2* 54 = 108

RD = RL + LD

RD = 54 + 108

RD = 162 cm

The length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Point L is a centroid of the triangle FWD, If RL = 54 cm

From the centroid definition:

LD = 2RL

LD = 2×54 = 108 cm

RD = RL + LD

RD = 54 + 108

RD = 162 cm

Thus, the length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

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Help me pleaseeeeee!!!!!

Answers

Answer:

A

Step-by-step explanation:

What is the correct order of the steps used to derive the identity?
A.) 4, 3, 5, 1, 2
B.) 4, 5, 3, 1, 2,
C.) 3, 4, 5, 1, 2
D.) 3, 4, 1, 5, 2

Answers

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

How to determine the correct order of step?

The trigonometry identity is given as:

tan(2x)

When the tangent formula is applied, we have:

[tex]\tan(2x) = \frac{\sin(2x)}{\cos(2x)}[/tex] --- step 4

Expand sin(2x) and cos(2x)

[tex]\tan(2x) = \frac{2\sin(x)\cos(x)}{\cos^(x) - \sin^2(x)}[/tex] --- step 3

The option from the list that obey the above order is (a) 4, 3, 5, 1, 2

Hence, the correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

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Answer:

A). 4,3,5,1,2

Step-by-step explanation: on edge

Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct

Answers

Answer:

8 correct.

Step-by-step explanation:

80 / 100 = x / 40    (Since he got 80% INCORRECT you will subtract the value of x from 40)

100x = 80 x 40

x = 3200 / 100

x = 32

40 - 32 = 8


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

okaaaay. this is 10 units to the y axis...

Step-by-step explanation:

you can use the method “rise over run”. wherever the line touches a new box is where you stop. in this case, you go up two and over one. meaning your slope is 2.

PLZ HELP! THIS IS THE LAST QUESTION! 75 PTS!!

Answers

Answer:

its b or d

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

hey can you pls help!!!​

Answers

Answer:

60/4 if i get right can i please get brainliest?

Answer:

60 miles/ 4 gallons

Step-by-step explanation:

60 divided by 4 is 15

can someone please help me with this question​

Answers

Answer:

16 the answer

Step-by-step explanation:

If ray ST bisects ∠RSU and m∠TSU=43°, find m∠RSU.

Answers

Answer:  86 degrees

Explanation:

Angle TSU is formed when we bisect angle RSU. Recall that bisect means to cut in half. So TSU is half of RSU. Put another way, RSU is twice that of TSU.

angle RSU = 2*(angle TSU)

angle RSU = 2*43

angle RSU = 86

Is the following relation a function?


Need answer now

Answers

Answer: No, it is not a function

If you can draw a vertical line through more than one point on the curve, then it's not a function. In this case, we can draw such a line. The graph is said to have failed the vertical line test.

What this means is that some x inputs lead to more than one y outputs. A function is only possible if any x input leads to exactly one y output. The x input must be in the domain.

Answer:

It is not a function.

Step-by-step explanation:

A relation's inputs are not repeated in a function.

Since the graph fails the vertical line test, it is not a function.

See picture.

Hope this helps.

Can you please help me with the question

Answers

it’s 8 haha good luck!!
2 is your answer hope it helps

SOMEONE PLZ HELP JSJSJSNSJNSNSNSNSNNS I HAVE 30 MINS LEFT PLZ

Answers

Answer:

the answer is d. x >=4

6x^2 – 13x + 6 = 2x^2 solve using quadratic formula

Answers

Answer:

[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define equation

6x² - 13x + 6 = 2x²

Step 2: Rewrite in Standard Form

Subtract 2x² on both sides:                    4x² - 13x + 6 = 0

Step 3: Define

a = 4

b = -13

c = 6

Step 4: Solve for x/roots

Substitute:                              [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent:                               [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply:                                  [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract:                                 [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

And we have our final answer!

what is the equation of the line containing the points (4,2) and (-5, 1)? Write your answer in slope-form. PPPPPLLLLLLLLLLLEEEEEEEEASE HELP

Answers

Answer:

y=-1/9x+2.44

Step-by-step explanation:

m=y2-y1/x2-x1

1-2=(-1)

(-5)-4=(-9)

-1/9

y=mx+b

2=-1/9(4)+b

-1/9*4=-0.44444444444

-0.444.... rounded is -0.44

(-0.44)-(-0.44) =0

2-(-0.44 )=2.44

y=-1/9x+2.44

hope this helps

sorry if im wrong i had a lil trouble on this one :(

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