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Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.

Step Work Reasoning

−8.3 + 9.2 − 4.4 + 3.7 Original problem

1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse

2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property

3 −8.3 + (4.4 + 9.2 + 3.7) Associative property

4 −8.3 + 17.3 Simplify

5 9 Simplify

A: He did not make any errors.

B: Step 1: He wrote −4.4 incorrectly as + 4.4.

C: Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.

D: Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.

Answers

Answer 1

In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.

So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7

In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.

So the original problem is −8.3 + 9.2 − 4.4 + 3.7  which results 0.2                                     but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9

Actually the answer is B.  cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.

Answer 2
answer above is correct!

Related Questions

Which variable expression represents the following word phrases?
6 more than four times a number

A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n

Answers

Answer:

6+4n

Step-by-step explanation:

The students at the engineering conference ate more than 20 pizzas. The inequality x greater-than 20 represents the situation. Which graph represents the inequality?
A number line going from 15 to 25. An open circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. An open circle is at 20. Everything to the left of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the left of the circle is shaded.

Answers

Answer: Image A

Step-by-step explanation:

math

Answer:

A

Step-by-step explanation:

please explain for brainlist
A town has approximately 1000 homes. The town council is considering plans for future development. Plan A calls for an increase of 200 homes per year. Plan B calls for a 10% increase each year. Write a function to model each plan and determine the number of homes each plan has after 3 years.

Answers

Answer:

Plan A: 1600 homes after 3 years Plan B: 1330 homes after 3 years

Step-by-step explanation:

Plan A.

200x3=600

1000+600=1600

1600 homes after 3 years

Plan B.

10% the first year =100 homes increased

10% the secound year = 110 homes increased

10% the third year = 121 homes increased

1330 homes after 3 years

It would be 1330 for plan B. And plan a 1600.

Out of all the multiple choice which one is true for this diagram

Answers

b. gh is a perp. bisector .

what is
[tex]f(x) = 2x - 3[/tex]
And
[tex]g(x) = 6 - x[/tex]

Answers

Answer:

Solution

Correct option is C)

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

use the slope formula to show work​

Answers

Answer:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]

1

The mass of Earth is 5.97x10^24 kg and the mass of Moon in 7.35x10^22 kg. What is the total mass? Thank you in advance

Answers

Answer:

Total mass = 5.97 × 1024 kg + 7.35 × 1022 kg. = 604.35 × 1022 kg.

Step-by-step explanation:

20 % of 2 is equal to
A. 20
B. 4
C. 0.4
D. 0.04

If Log 4 (x) = 12, then log 2 (x / 4) is equal to
A. 11
B. 48
C. -12
D. 22

Answers

Answer:

the answer to the first question is c. the second one is

2

\frac{x}{2}

2x​

x/2

Step-by-step explanation:

Answer:

20% of 2 is equal to 0.4

log 2 (x / 4) is equal to 22.

5(2x-2)=8x: what is the value of x?

Answers

Answer:

5

Step-by-step explanation:

First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:

10x-10=8x

And here’s how you find x:

10x-10=8x

-10x     -10x

-10x=-2x

/-2x   /-2x

x=5

2x - y = 1
3x + y = 9

Answers

Answer:s

Step-by-step explanation:

Answer:

x=2  y=3

Step-by-step explanation:

Scale: 2inches = 1 ft
1.)Jenna's father is going to use the blueprint above to make a playhouse for her. The length of the entire first floor is 12 inches. What is the actual length?
2.)The width of the entire first floor it is 8 inches. What is the actual width?
3.)What scale factor did Jenna's father use to go from the drawing to the actual house?
4.)What is the perimeter of the first that floor Jenna's that father built?
5.) What is the area of the first floor that Jenna's that father built?

Answers

The actual lenght will be 6 fee

The actual width will be 4 feet

The scale factor that Jenna's father used to go from the drawing to the actual house is 1.5

The perimeter of the floor is 20 feet

The area of the first floor that Jenna's that father built is 24ft²

Given the conversion factor 2inches = 1feet

1) If Jenna's father is going to use the blueprint above to make a playhouse for her and the length of the entire first floor is 12 inches, the actual length in feet is expressed as:

12 inches = x

2inches = 1feet

_____________________________

2x = 12

x = 6 feet

Hence the actual lenght will be 6 feet

2) If the width of the entire first floor is 8 inches, the actual width is expressed as;

8 inches = x

2inches = 1feet

_____________________________

2x = 8

x = 4 feet

Hence the actual width will be 4 feet

3) Thee scale factor will be the ratio of the length to the width as shown:

Ratio = length/width

Ratio = 6/4

Ratio = 3/2

Hence the scale factor that Jenna's father used to go from the drawing to the actual house is 1.5

4) The perimeter of the floor = 2(L + W)

Perimeter = 2(6 + 4)

Perimeter = 2(10)

Perimeter of the floor is 20 feet

5) Area of the floor = length * width

Area of the floor = 6ft * 4ft

Area of the floow = 24ft²

Hence the area of the first floor that Jenna's that father built is 24ft²

Learn more on area and perimeter of rectangle here:https://brainly.com/question/19819849

what is the volume of this prism

Answers

Answer: 44?

I think. I am not sure

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

1 inch : 50 miles

Step-by-step explanation:

550 miles / 11 inches = 50miles/inch

Every inch on the map represents 50 miles.

550 miles. Explanation First, we know that each 1,4 (quarter) of an inch
equals 50 miles, and we know that four 1.4s
equals one. so, using that information, we have
23/4. so the 2 has 8 quarters, and then we have
3 quarters left. so we add the 8 quarter's and
the 3 quarter's, to get 11. and since each quarter
is equal to 50 miles, we multiply 50 by 11.

A car is traveling at a rate of kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in minutes? Do not round your answers.

Answers

Answer:

3.02

Step-by-step explanation:

WILL GIVE BRAINLIEST
Write the sentence below as an equation or inequality.

Craig has six less than half of the amount of dollars Bo has.

Group of answer choices

x
=
y
2

6


x
=
6

y
2


x
=
2
y

6


x
=
6

2
y

Answers

Answer:

c = b/2 - 6

Step-by-step explanation:

let 'b' = amount Bo has

let 'c' = amount Craig has

c = b/2 - 6

What is the distance between the points (5, 1) and (-3, -5)?

Answers

Answer: 10

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10

A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,540 from popcorn sales and $1,330 from nacho sales. If on the next night the employees sell $1,672 of popcorn, how much is earned from nachos?

Answers

Using proportions, it is found that $1,225 is earned from nachos.

This question is solved by proportions, using a rule of three.The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?

The rule of three is:

$1,540 - $1,330

$1,672 - $x

Applying line multiplication:

[tex]1672x = 1540 \times 1330[/tex]

[tex]x = \frac{1540 \times 1330}{1672}[/tex]

[tex]x = 1225[/tex]

$1,225 is earned from nachos.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

What is greater -5 1/2 or 6.5

Answers

Answer:

6.5

Step-by-step explanation:

We have: -5 1/2 = -11/2 ; 6.5 = 13/2
As we can see: -11/2 < 13/2
So -5 1/2 < 6.5

PLZ HELP DUE TODAY 100 POINTS AND BRAINLIEST


Write each expression using an exponent

1. 8 × 8 × 8 × 8 × 8 × 8 × 8
2. 4

Evaluate each expression
4. 9² 5. 99^1
6. 3,105^0 7. 22²
8. 2^7 9. 3^4

Answers

Answer:

1.  8^7

2. 2^2

Step-by-step explanation:

I am not sure about these

4. 6.32066568875585e+24

5. 1.0853858230617127e+182

6. Infinity

#1

8×8×8×8×8×8×8=8^7

#2

4=2^2

#3

9^5.99^19^5.99

#4

3105^0.7.22^2278.2(484)134648.8

#5

2^7.9.3^42^7.3^6

find the quotient 3^15 / 3^3

Answers

Answer:

531441 OR 3¹² is the answer.

Step-by-step explanation:

3¹⁵/3³

=> 3¹⁵⁻³

=> 3¹²

=> 531441

Therefore, 531441 OR 3¹² is the answer.

Hoped this helped.

0.326
In word form and stranded form please help!!?! I am taking things that are from 4th grade ahh I can't even remember anything from then. please help me word form and stranded form.

Answers

Answer:

three hundred twenty six thousandths

Zero point three two six. Please give brainliest

show your solution 5x + 12 =42

Answers

Answer:

6

Step-by-step explanation:

5x+12=42

subtract 12

5x=30

divide by 5

x=6

Answer:

x = 6

Step-by-step explanation:

5x + 12 = 42=> 5x = 42 - 12=> 5x = 30=> x = 6

Conclusion:

Therefore, the answer is 'x = 6'.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

the 200$ camera was on sale 15% off what was the price

Answers

Answer: $170
15% off 100 is $15 x2 is 30

Answer:

$170

Step-by-step explanation:

What differences are there between a polynomial equation and a rational equation?​

Answers

Answer:

It is a fraction

. f (x) = x +12×2-x-1 is an example of rational function.

It has numerator and denominator properties.

vertical asymptotes is the another property of rational function.

Numerater and denominator both are polynomials.

function expressed by numerator and denominator with ratio.

I’m very confused! Please help me (I’ll mark brainliest if you explain!)

Answers

Answer:4 **rounds

Step-by-step explanation:

It’s dividing by 2 each time.

Answer:

4 more rounds

Step-by-step explanation:

you will see there is a pattern which is dividing by 2

16/2=8

8/2=4

4/2=2

2/2=1

but since thats not an option i think it would be 8 dont ask its would be eight if not 4

Plz answer I will make brainiest plzzz I need right answer ASAP!!!!!

Answers

Answer:

its 6 square feet

s = 1

1^2 = 1

6 x 1 = 6

Hellooo, is this simple graphing or do I have to like solve something

Answers

Answer:

Just graph the points

Step-by-step explanation:

no need to solve anything

If t=100, find 2t + 1

Answers

201. Because you 2*100+1= 200+1= 201

Hurry answer plsss I'll give brainlest

Answers

Answer:

2.32x10^-11

here ya go luv <3

If f(x)=3x+2 and g(x)=x2−x, find the value. f(x)+1

Answers

Answer:

F(x) +1 = 3x+3

Step-by-step explanation:

F(x)+1= 3x+3

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