Mathematics Middle School

How do you Simplify this expression

-12 ÷ 3 x (-8 + (-8) - 6) + 2

Prepare you response to this question when you are ready you may submit your response

Requirements: include various key words you learned within this unit.
list your steps in order so that anyone can follow

Answers

Answer 1
Use the order of operations in order to simplify (solve) the expression

-12 ÷ 3 x (-8 + (-8) - 6) + 2      Original expression
-12 ÷ 3 x (-16- 6) + 2              Inside the parenthesis do the addition of the first negatives. -8 +-8 = -16
-12 ÷ 3 x (-22) + 2                 Inside the parenthesis subtract -16-6 = -22
-4 x (-22) + 2                       Multiplication and division is worked from left to right. -12 divided by 3 is -4
88 +2                                  Multiply -4 x -22 = 88. Two negatives make a positive with multiplication.
90                                       Addition 88 + 2 = 90
Answer 2
The expression must be simplified using the order of operations. In this case, the terms inside the parenthesis should be simplified first. Within the parenthesis, there is a nested parenthetical term, which is simplified before the rest of the term inside the parenthesis. The +(-8) term simplifies to -8. The terms inside the parenthesis then become (-8-8-6), which is equal to -22. Then, multiplication and division are performed next, in order as they appear. So -12/3 is equal to -4. Then, -4 is multiplied by the -22 from the parenthetical expression to equal 88. Then, addition and subtraction are the final steps in the order of operations, so the 2 is added to the 88, for a total of 90.

Related Questions

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color?

Answers:
8 over 32 multiplied by 8 over 31
8 over 32 plus 8 over 31
8 over 32 plus 7 over 31
8 over 32 multiplied by 7 over 31

Answers

D. There would be one less the second time because one would already be picked.
The correct answer is d

A piece of wood is 12 feet long and a nail is 3 inches long. The piece of wood is how many times as long as the nail?

Answers

the piece of wood is 48 times as long as the nail (12 feet = 144 inches) because 3 goes into 144 48 times.

Answer:

the answer is 48


Step-by-step explanation:


98 is what percent of 2487

Answers

98/2487= 0.0394049055
2437.26 should be the answer

90=20+70 use the distributive property and the GCF of 20 and 70 to write another related expression for 90. Could you write another expression with a different common factor?

Answers

The GCF of 20 and 70 is 10
90=10(7+2) could be used as another related expression

How do you write 13/25 as a percentage

Answers

The fraction 13/25 is equivalent to 52 percent.
To workout this, divide the numerator by the denominator, sum this value to the integer part and multiply the result by 100%, so:
13/25 in percent = 13 ÷ 25 × 100% = 0.52 × 100% =  52%
13/25 as a percentage would just be 52%.

Please don't answer just to say "I don't know"
Thank you

Answers

8x+15 = 2x+39

8x =2x+24

6x = 24

x = 24/6 = 4

 angle 4 = 2(4) +39 = 8+39 = 47

 angle 6 = angle 4

angle 6 = 47 degrees

m<6 = m<4  = 2x + 39              (vertical angles)
and m < 1  is also  = m<4       (corresponding angles)

Therefore  we have:-

2x + 39  = 8x + 15   Solving for x:-

2x - 8x = 15 - 39
-6x = - 24

x = 4

So the measure of <6 =  2(4) + 39  =  47 degrees.


Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?

Answers

The scale factor is 3.

What is the equation of the graphed line?

Answers

your answer would be y=8x^2-56x
hope this helped

In July, the average temperature in one US city was 29°C. By December, the average temperature had fallen by 29°C. Explain why the average temperature in December was 0°C.

Answers

because if the temperature was 29 degrees in july and in december it was 29 degrees less than 29 then that would be zero because 29-29=0
The temperature went up 29°C, which represents a positive 29. Then the temperature fell 29°C, which represents a negative 29. The average temperature rose and fell the same amount. The absolute values are the same, so the difference is 0.

How and why does conduction influence the temperature of air above a warm surface? above a cold surface?

Answers

This is actually a science question, this is because the air particles with the warmer temperature always go up and air particles with the cooler temperature always goes down, and this process is called convection.
I hope this could help you ;)

Why is 2 + (−3) equal to −1

HELP

Answers

2+(-3) = 2-3 = -1
hope it helps
When you add a positive and a negative number, the answer is positive: for example, 3 + 2 = 5. But when you add a positive and a negative number, you have to subtract the smaller number from the larger, and place the sign of the larger number in front of the answer.. -3 + 2 = -1

what is a equivalent name for 57

Answers

For this case we have the following number:

57

We can write this number in the form of a word.

Therefore, we are giving it a different name.

By writing the number in the form of a word we have:

57: fifty-seven

Answer:

An equivalent name for the number 57 is given by:

fifty seven

The equivalent name for [tex]57[/tex] is [tex]\boxed{\text{\bf Fifty seven}}[/tex] and [tex]\boxed{\bf LVII}[/tex].

Given:

The number is [tex]57[/tex].

Further Explanation:

The given number is in numeral form.

A numeral system is a system in which numbers are expressed.

The number is [tex]57[/tex].

The other way of writing the number is in words.

The numbers [tex]1,2,3,4,5,6,7,..[/tex] can be expressed in words as one, two, three, four, five, six, seven,...and so on.

The numbers [tex]11,12,13,14,15,16,..[/tex] can be expressed in words as eleven, twelve, thirteen, fourteen, fifteen, sixteen,... and so on.

The numbers after [tex]20[/tex] can be written as twenty one, [tex]32[/tex] as thirty two and so on.

Therefore, the number [tex]57[/tex] can be written as fifty seven.

The another way of writing the number [tex]57[/tex] is in Roman numerals.

The numbers [tex]1,2,3,4,5,6,7..[/tex] can be written in roman numbers as [tex]\bf I,II,III,IV,V,VI,VII..[/tex]

Therefore, the number [tex]57[/tex] can be written as [tex]\bf LVII[/tex].

Here, [tex]L[/tex] denotes the number [tex]50[/tex] and [tex]\bf VII[/tex] denotes the number [tex]7[/tex] in roman numerals.

Thus, the equivalent name for [tex]57[/tex] is [tex]\boxed{\text{\bf Fifty seven}}[/tex] and [tex]\boxed{\bf LVII}[/tex].

Learn more

1. Learn more about how to write in word form https://brainly.com/question/4725342.

2. Learn more about whole numbers are integers https://brainly.com/question/1852063.

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Number system

Keywords: Number system, roman numbers, real numbers, natural numbers, even numbers, odd numbers, whole numbers, integers, decimal numbers, digits, rational numbers.

Mary sells lemonade, and she donates 10 cents from every cup she sells to charity. The cups of lemonade sell for 45 cents. One day she made $17.10. How much money did she give to charity that day? A) $1.60 B) $2.60 C) $3.20 D) $3.80

Answers

D is the answer because 17.10/.45=38 cups so 38*.10=3.80

Answer:

Its D.

Step-by-step explanation:

I just did it on USA TP

Jane says that multiply a decimal by 100 is the same as multiplying the decimal by three factors of 10. Is Jane correct? Explain your answer.

Answers

Jane is incorrect, this is because 3 factors of ten equals 1000(10*10*10=1000) and 100 is not equal to 1000 meaning you are not multiplying by the same number.

Answer:

Jane is incorrect.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether the given statement is true or not.

Jane says that multiply a decimal by 100 is the same as multiplying the decimal by three factors of 10.

[tex]\text{3 factor of 10}=10^3[/tex]    

[tex]\text{3 factor of 10}=10\times 10\times 10[/tex]

[tex]\text{3 factor of 10}=1000[/tex]

When we multiply a decimal by 100, it will move the decimal to two digits to right and multiplying a number by 1000 will the decimal to three digits to right.

Therefore, Jane is incorrect.

Lindsey earns $33 per day at her part time job. Complete the table to show the total amount Lindsey earned

Answers

The formula would just be 33x where x is the number of days. So one day would be 33 multiplied times 1 to equal 33.  33(2)= 66, 33(3)=99, 33(4)=132 and so on.

Write an equation in slope-intercept form of the line that passes through (1, −9) and (−3, −9)

Answers

little time saver tip....notice that ur points have the same y value. This means that u have horizontal lines. Horizontal lines have a slope of 0 and are represented by y = a number..with that number being ur y coordinate in ur points.
So ur equation is : y = 0x - 9 <== that is the slope intercept form....but a lot of time, u see it written as y = -9

learn this...it really helps
HOY -- horizontal lines, 0 slope, represented by y = a number
VUX -- vertical lines, undefined slope, represented by x = a number

How do you write 4500 in scientific notation

Answers

45 X 10^3

(forty-five times ten to the third)
First you would want to move a decimal place to the right one position(4,500, 4.500).

Then you are now going to want to count how many places to the right of the decimal ( there are 3 places to the right of the decimal).
 
So building upon what you know, you can now reconstruct the number into scientific notation. Now you are going to the decimal number 4.5 and times with 10 to the third power ( 10 ^3). Now to check your work to see if you did it correctly, you would do 10 to the third power equals 1,000 times 4.5 which equals 4,500 ( 10^3 = 1,000 x 4.5 = 4,500 or 4500.

Hoped this helped, have a good day:) ~Nana!~

Whats an expression that is equivalent to three over four (5z+ 16).

Answers

(3/4)*(5z+16)
((3/4) * 5z + (3/4) * 16)
3.75z + 12

is that the answer you are looking for?

if you want me to solve for "z" I can but you are asking for an expression not to solve...
(3/4)*(5z+16), ((3/4) * 5z + (3/4) * 16), 3.75z + 12. I think that is right? I'm not 100% sure.

Will the first digit of the quotient of 2589 divided by 4 be in the hundreds or thousands place? Explain how you can decide without finding the quotient.

Answers

Answer:

This can be checked by looking at the number on the biggest place of the dividend, if it is less than the divisor, the answer will have one less digits place.

Step-by-step explanation:

 A country's population in 1991 was 48 million. In 2002 it was 51 million. estimate the population in 2008 using the exponential growth formula. Round to nearest million.

Answers

Using exponential growth, we get P1=P0*e^rt, where P1 is the result population, P0 is the initial population, r is the rate, and t is time. So:
51=48*e^11r
1.0625=e^11r
ln 1.0625=ln e^11r=11r ln e=11r
r=ln 1.0625/11=0.0055
Then
51*e^0.00551132925603953114369146654913*(2008-2002)=51*1.0336207977813425465939939376231=52.71466 million as the population
☺☺☺☺




Answer:

53 Million

Step-by-step explanation:

In 1991: t = 0 and A = 45 million

In 2002: t = 11 and p = 51 Million

You're Solving For k:

P = [tex]Ae^{kt}[/tex] In(1.0625) - In( [tex]e^{k*11}[/tex] )

51 = [tex]48^{k*11}[/tex] 0.0606 = k * 11

1.0625 = [tex]e^{k*11}[/tex] 0.0055 ≈ k

In 2008: t = 17

P = [tex]Ae^{kt}[/tex]

P = [tex]48e^{0.0055*17}[/tex]

P = [tex]48e^{0.094}[/tex]

P = 48*1.0986

P ≈ 52.71466 million as the population

P ≈ 53 Million If Rounded

8 divided by two fifths

Answers

[tex]8 = \frac{8}{1} \\ \\ two-fifths = \frac{2}{5} \\ \\ \\ Reverse: \frac{2}{5} to \frac{5}{2} \\ \\ \\ \\ Now, \frac{8}{1} ( \frac{5}{2} ) \\ \\ \frac{8(5)}{1(2)} = \frac{40}{2 } \\ \frac{40}{2} = 20 \\ \\ Answer: 20 [/tex]

Good luck on your assignment and enjoy your day! 

~[tex]MeIsKaitlyn:)[/tex]

if 15 baseballs weigh 75 ounces, how many baseballs weigh 15 ounces? Plz help me

Answers

75/15 = 5 (each ball weighs 5 ounces)

15/5 = 3 ( baseballs)

your answer is 3 baseballs 

hope this helps

A rectangular room room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. What is the volume of the room

Answers

V=LWH (multiply the length, width and height)
So plug in the numbers,  V=6x14x10=840 ft^3 (feet cube)

The graph shows the total fare, y, for a taxi ride with respect to the miles traveled, x.



What is the slope and what does it represent?

Question 9 options:

The slope is 3 and it represents the cost per mile traveled.


The slope is 2.50 and it represents the total cost of the cab ride.


The slope is 0.40 and it represents the cost per mile traveled.


The slope is 2.50 and it represents the cost per mile traveled.

Answers

Final answer:

The slope of the graph, in this case, is 3 and it indicates the cost per mile traveled in a taxi. The slope is obtained by dividing the change in total fare by the change in miles traveled.

Explanation:

The correct answer is 'The slope is 3 and it represents the cost per mile traveled'. In this context, the slope of the graph represents the taxi fare rate per mile traveled, meaning for each mile you travel in the taxi, you are charged this amount. To find the slope (m), you usually use the formula m = change in y / change in x. Here, 'y' refers to the total fare, and 'x' refers to the miles traveled.

Learn more about Slope here:

https://brainly.com/question/19131126

#SPJ2

Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?

Answers

about 0.71 of the field

roni 1/30 t 1/30t

allie 1/75 t 1/75t

If Roni and Allie are working together, Roni will mow .71 of the field.

in a chart,  Roni's rate would be 1/30 and Annie's rate would be 1/75.

both of thier times would be x

and the part of field mowed would be 1/30x for Roni and 1/75x for Annie.

the answer is .71

hope this helps :)

What is 194610 ÷ 26 plrase show work

Answers

7,485 just do long division
194610/26 is 7485 because 26 goes into 194 7 times with a remainder of 12, then bring down the 6 to have 126 then take 26 from that which is 4 then leaves a remainder of 22.then bring down the 1 divide by 26 which is 8.5 times by 26 which is 0 then you get the answer of 7485

Cylinder with radius of 1.5. it holds 123 cubic inches of wax.How tall is it. I need to also know the formula how to get it.

Answers

See the formula, my friend:
                    V = [tex] \pi [/tex]r²h
                  or, 123 =[tex] \pi [/tex](1.5)²h
                  or, h = 123 ÷ (2.25[tex] \pi [/tex])
                  or, h = 17.40094044 

Evaluate the expression. Enter your answer in the box. 2³ =

Answers

2^3 = 2 x 2 x 2 = 8

your answer is 8

hope this helps
The answer should be = 8 

Michael's team won 60% of the 10 football games they played this season they lost the remainder of the games. how many games did Michael team lose?

Answers

60% of 10 is 6. 10 minus 6 is 4. Your answer is 4.
Hope this helped! :)

Final answer:

To find out how many games Michael's team lost, we can calculate the number of games they won and subtract it from the total number of games played.

Explanation:

To find out how many games Michael's team lost, we first need to calculate the number of games they won. We know that they won 60% of the 10 games, so we can calculate this by multiplying 10 by 0.6: 10 x 0.6 = 6. Therefore, Michael's team won 6 games. Since they won the remainder of the games, we can calculate the number of games they lost by subtracting the number of games they won from the total number of games played: 10 - 6 = 4. Therefore, Michael's team lost 4 games.

Please help me I need help

Answers

1. 71.25
2. 118.50
3. 51.75
Have a great day
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