Mathematics Middle School

Which expression can be simplified by applying the additive inverse property

Which Expression Can Be Simplified By Applying The Additive Inverse Property

Answers

Answer 1
D, because 9 3/4 and -9 3/4 cancel out to 0, which is the additive inverse property.
Answer 2

We have to identify the expression in which Additive inverse identity is applied.

Additive inverse property states that "The additive inverse of a number 'x' is a number that when it is added to 'x', yields zero".

Consider the first expression,

A. [tex] -329-164+513+206+(-164) [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

B. [tex] 1.6+0.2-1.8-0.5 [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

C. [tex] -\frac{7}{10}-\frac{3}{4}+1\frac{1}{2}+(-\frac{7}{10}) [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

D. [tex] 9\frac{3}{4}\+4\frac{5}{8}+(-9\frac{3}{4}+(2\frac{3}{5}) [/tex]

Here, [tex] 9\frac{3}{4} [/tex] when added to [tex] -9\frac{3}{4} [/tex] will yield zero. Therefore, [tex] -9\frac{3}{4} [/tex] is the additive inverse of [tex] 9\frac{3}{4} [/tex].

So, in option D, Additive inverse property is applied.


Related Questions

In ABC what is the measure of C

Answers

C = 36

To solve this equation, you know what each angle is equal to, and all triangles add to equal 180 degrees, so you can set it up like so:


6x + 2x + 2x = 180      Then combine all the x's and simplify by dividing.

Answer:

36 °

Step-by-step explanation:

Hello

In geometry an interior angle or an  internal angle is an angle formed by two sides of a polygon that sharing a common end is contained within the polygon, and the sum of these angles is given by

sum=(n-2)*180°

where n is the number of sides of the polygon,in our case n= 3 (a triangle)

Step 1

find the sum o internal angles

sum=(3-2)*108°

sum=1*180°

(1)sum=180°

step 2

find x

now, according to the graph the sum of internal angles is

sum(graph)=6x+2x+2x

(2)sum=10x

(1) must be equal to (2)

180°=10x

isolating x

x=18

Step 3

find C

by the graph ,we know

C=2x

and x=18

replacing

C=2(18)

C=36°

Have a great day

Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sews at a constant rate. At this rate, how many dresses does Lucy sew in one?

Answers

To find out how many dresses she can sew in one hour, divide the fraction of the dress she makes by the number of hours it takes for her to make the dress.

[tex]\sf\dfrac{4}{7}\div\dfrac{3}{4}[/tex]

When dividing fractions we flip the one we're dividing by and multiply:

[tex]\sf\dfrac{4}{7}\times\dfrac{4}{3}[/tex]

Multiply the numerators and denominators together:

[tex]\boxed{\sf\dfrac{16}{21}}[/tex]

So she sews 16/21 of a dress in one hour.

4(2.1k-4)=6(3.4k-2) what does (K) equal?

Answers

Hey there.

4(2.1k - 4) = 6(3.4k - 2); apply the distributive property to remove the parenthesis.
8.4k - 16 = 20.4k - 12; Get the variable to one side, so subtract 8.4k.
-16 = 12k - 12; isolate the variable by adding 12.
-4 = 12k; divide by 12 to solve for our variable.
k = -1/3

I hope this helps!

What is 143-1 1/20 please how meeeee I'm stupid but I just have to check my work if I got it right

Answers

is the question 143 - 11/20?
143-1 * 1/20
142 * 1/20
142/20
7.1

how do you do this please help me

Answers

Perimeter is the sum of the sides.
4x + 6 +3x + 2 = 57
7x + 8 = 57
7x = 49
x = 7

The perimeter of a triangle is the sum of all sides' lengths.

Thus,

[tex]P=6+4x+(3x+2)=7x+8.[/tex]

Given [tex]P=57\ cm,[/tex] you get

[tex]7x+8=57,\\ \\7x=57-8,\\ \\7x=49,\\ \\x=\dfrac{49}{7},\\ \\x=7\ cm.[/tex]

Answer: x=7 cm.

Congruency means that two figures or items are exactly the same size and shape. Where in life would it be vitally important for two or more items to be congruent?

Answers

money and the wheels of a car
I agree with Awesome5864. Wheels should be congruent...You need at least 2 of the same size and shape because if you dont the car is going to have one side taller than the other one.
Hope this helps!
Brainliest? Please?

show your work and simplify the expression (x – 2) (3x-4)

Answers

The answer is 3x^2-10x+8.

(x - 2)(3x - 4)

Remember F.O.I.L

First
Outside
Inside 
Last

First: x * 3x = 3x^2

Outside: x * -4 = -4x

Inside: -2 * 3x = -6x

Last: -2 * -4 = 8

3x^2 - 4x -6x + 8

Now, combine like terms.

3x^2 - 10x + 8


Hope I helped!

I'd be very happy to help if you need anything else!

~ Zoe

Can anyone help me? Or at least explain how you solved the problem

Answers

2/3.3/1=6/3
Answer is 2.
The answer would be 2 because 2/3/1/3 is the same as 2/3 multiplied by 3/1 because you are dividing fractions so you keep change flip.

7.2 = 8t
t = ???
I need a little help with this one
sorry...

Answers

You have to get t alone so you divide both sides by 8
7.2/8= 0.9 and 8t/8=t
T=0.9
Hey!
There is no problem with needing a little help, no need to apologize. To solve this use the  inverse operation of multiplication (division) to solve. See photo :D

Cheers,
Izzy

Charlene records the number of pieces of red colored candies in ten bags of candy of assorted colors. find and interpret the mean absolute deviation of the data
6,6,7,7,8,8,10,10,11

Answers

To calculate the mean absolute deviation, you first must find the mean of the data and then find the difference between each piece of data and the mean.

Please see the attached picture for the work.

The mean absolute deviation is approximately 1.48.

This means that the numbers of candies in the 10 bags are all very close to one another. There is not much variation.

Is 5 quarts bigger than 25 cups

Answers

No, 5 quarts is not bigger than 25 cups.

5 quarts = 20 cups
1 quart = 4 cups

5 quarts is smaller than 25 cups

Which coordinate grid shows the correct locations of P(1, 2.5), point Q, which is a reflection of point P across the y-axis, and R(2, −2.5)?

Answers

Answer:

the second one is correct

Step-by-step explanation:

Answer:the second

Step-by-step explanation:

Thirty five is what fraction of 80

Answers

The fraction is 7/16
35/80= 7/16
The answer is (35/80=7/16) hope it helps  and have a great day!

HEEEEEEELP ASAP Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total of $555.28 before taxes. Monique went to Fast Wheels and paid $136.71 per tire for 4 tires and a flat rate fee for installation for a total of $585.34 before taxes. The difference in the amount that they paid in installation charges is $____                      WILL GIVE YOU BRAINLIEST

Answers

$122.57 • 4 + $555.28 = $1,045.56

$136.71 • 4 + $585.34 = $1,132.18

$1,132.18 - $1,045.56 = $86.62

The ratio of plates to napkins is 3:12. Write the ratio in simplest form.

Answers

The ratio 3:12 in simplest form would be 1:4. We can figure this out by dividing the ratio by 3 which would leave 1 plate to 4 napkins.
I hope this helped! :-)
1:4 is the answer.

The common factor of 3 and 12 is 3.

3 divided by 3 is 1

12 divided by 3 is 4

So you get 1:4

Hope this helped! ♡

th original price of a computer was reduced by $250. if p= the computer original price in dollars. which algebraic expression represents the reduced price

Answers

the algebraic expression would be p-250
The original price is p, it was reduced by $250 so your expression should be

p-250

The volume of a right rectangular shipping carton is 948.75 cubic meters. The height of the shipping carton is 11 meters, and the width is 7.5 meters. What is the length of the shipping carton? Enter your answer as a decimal in the box.

Answers

11.5 meters I think.. took teh test

If volume of a right rectangular shipping carton is 948.75 cubic meters and the height of the shipping carton is 11 meters, and the width is 7.5 meters then length is 11.5 meters.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that volume of a right rectangular shipping carton is 948.75 cubic meters.

The height of the shipping carton is 11 meters, and the width is 7.5 meters.

We have to find the  length of the shipping carton

V=Length × width × height

V= Length x 7.5 x 11

948.75 = 82.5 length

Divide both sides by 82.5

Length = 948.75/82.5

Length = 11.5 meters

Hence, if volume of a right rectangular shipping carton is 948.75 cubic meters and the height of the shipping carton is 11 meters, and the width is 7.5 meters then length is 11.5 meters.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Need help! Easy!! 7th grade Pre-algebra! Easy!

Answers

7. The sign of -10 tells you the signs of the roots are different, leaving only B and C as viable choices. It is easiest to evaluate the quadratic using the integer root. When we use -2, we find the equation is satisfied.

B is the appropriate selection.

_____
8. The vertex form will be
.. y = a(x +1)² -10 . . . . . matching selections F and H
When we substitute x=1, we get 4a-10 = 2; a=3

H is the appropriate selection
The answers are B and H

if a circle has a radius of 2.5 inches what is the area of the circle

Answers

The answer should be 19.63
the equation for a circle’s area is πr^2. rounding π to 3.14, your equation is (3.14)(2.5)^2.

answer: 19.625

a 20 foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building. what angle does the ladder make with the ground?

Answers

66.42° you can just do 66.4°

use cos(x)8/20

The ladder makes an angle of 63.43 degrees with the ground.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that 20 foot ladder leans against a wall so that the base of the ladder is 8 feet from the base of the building

We need to find the angle which the ladder make with the ground.

tan(x) = opposite side / adjacent side

In this case, the opposite side is the height of the building, which is 20 feet.

The adjacent side is the distance from the wall to the base of the ladder, which is 8 feet.

Plugging in the values:

tan(x) = 20 / 8

x=tan⁻¹(20/8)

x=63.43 degrees

x is the angle

Hence, the ladder makes an angle of 63.43 degrees with the ground.

To learn more on trigonometry click:

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What is the answer to 2

Answers

3(2x+1) If you multiply this out, you will get 6x+3. 

A = 4(6x + 3)
A = 4(6x) + 4(3)
A = 24x + 12

The answer is 24x+12.
Hey there.

As we are looking for the perimeter of the polygon, we should understand the formula for each figure. For #2, we can clearly see that we have a square, which concludes that the perimeter for the figure is going to be 4S ('S' being the length of one side as all sides are equal).

Let's apply this to our problem.
P = 4S;
S = 6x + 3; set this up as an equation.

P = 4(6x + 3); apply the distributive property to the right side of the equation.
P = 4(6x) + 4(3);
P = 24x + 12

As we can see above, the perimeter of the square in problem #2 is going to be 24x + 12. 

I hope this helps!

-x+y=5 4x+y=10 Use addition to solve the linear system of equations. Include all of your work in your final answer

Answers

Answer:
x = 1
y = 6

Explanation:
The first given equation is:
-x + y = 5
Multiply this equation by -1, you will get:
x - y = -5 ............> I

The second given equation is:
4x + y = 10 ..........> II

Add the two equations I and II as follows:
    x   - y = -5
+  4x + y = 10
..............................
    5x        = 5
Therefore:
x = 5/5
x = 1

Substitute with x in equation I to get y as follows:
x - y = -5
1 - y = -5
y = 1 + 5
y = 6

Hope this helps :)

Students in a class were asked to name their favorite sport they like to watch on television. The results are shown in the circle graph. How many times more students prefer to watch basketball than prefer to watch soccer? Soccer- 3% Basketball- 25.5%

Answers

25.5 / 3 = 8.5

8.5 times more student prefer basketball over soccer

Using the divison operation, we can conclude that students prefer Basksetball 8.5 times more than soccer.

Percentage who prefer soccer = 3%Percentage who prefer Basksetball = 25.5%

To obtain the number of times basket ball preference is greater than soccer :

We use the division operation :

(percentage of basketball) ÷ (percentage of soccer)

(25.5) ÷ 3 = 8.5

Therefore, students prefer basketball 8.5 times more than soccer.

Learn more : https://brainly.com/question/15707582

help with how to solve this

Answers

I think it’s G, because you would ad like another set of box and yeah

a circle has a radius of 8 inches. What is the circumference in terms of pi?

Answers

The circumference is 50.24, because 2 * 3.14 * 8 = 50.24.
Please make brainliest! ☺
 
circumference=pi*diameter
multiply the radius by 2 to get the diameter - which is 16
pi*16=50.26548...
50.26548... OR  50.3 rounded

Please I need help ASAP (brainly + thank you + brainly)

Answers

88.3 : 100 = 86.7 : x
 x = 98.18 
100-98.18=1.81 (rounded 1.8)
----------------------------------------------

(88.3-1.8%=86.7)

88.3-1.8%=86.7 is the answer

What is 2x2 ? Plz I need the answer .

Answers

the answer is to the question you asked is 4
2x2 is 4.
All you are doing is multiplying 2 by 2, doubling it.
Hope this helped<3

Can someone please help me??

Answers

I believe your answer should be 8, I am sorry if I am wrong, please mark mine with a low star rating if I am false

The ratio of the number of boys to the number of girls in the class is 1:6. Which statement must describe the class?

A) There are exactly 7 students in the class.

B) There is 1 boy for every 6 girls in the class.

C) There are 5 more girls than boys in the class.

D) There is 1 boy out of the 6 students in the class.

Answers

Your answers either A or B but im leaning more towards A

: ) have  a nice day

Answer: B

Step-by-step explanation: If it is asking the ratio from boys to girls the boy would be 1 and the girl would be 6 so the ratio is for every one boy is six girls. So it would be B.

what is yhe best approximation of the value of w?
A) 1.4 cm
B) 4.0 cm
C) 6.0 cm
D) 7.3 cm

Answers

b 4.0 cm because if you think about it the one that says 3.3 cm is actually just slightly shorter than w so it has to be 4.0cm
Answer

B) 4.0 cm

Explanation

First, we can adapt the law of sines to the notation of our triangle:

[tex]\frac{sin(W)}{w} =\frac{sin(U)}{u}[/tex]

Now, we can infer from our diagram that [tex]W=39[/tex], [tex]U=31[/tex], and [tex]u=3.3[/tex], so we can replace the values in our previous expression:

[tex]\frac{sin(W)}{w} =\frac{sin(U)}{u}[/tex]

[tex]\frac{sin(39)}{w} =\frac{sin(31)}{3.3}[/tex]

Finally, we can solve for [tex]w[/tex]:

[tex]\frac{3.3sin(39)}{w} =sin(31)[/tex]

[tex]3.3sin(39)=wsin(31)[/tex]

[tex]\frac{3.3sin(39)}{sin(31)} =w[/tex]

[tex]w=\frac{3.3sin(39)}{sin(31)}[/tex]

[tex]w=4.03224[/tex]

Which rounds to [tex]w=4.0[/tex]

We can conclude that the best approximation of w is 4.0 cm

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