Why is the sum of a rational number and its opposite always equal to 0

Answers

Answer 1
Answer: because its like saying what's 4-4=0. -4 and 4 are the same distance away from zero, so if you subtract them (or add them), it'll always end up to be zero

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Compare the numbers 5.0 and 0.5. how many times greater is 5.0 than 0.5

Answers

5.0 is 10 times greater than .5

when a number is multiplied by ten, the decimal moves one place to the right

your weight on the moon is about 1/6 of your weight on earth write and solve an equation to show how much a person weighs on earth if he weighs 16 pounds on the moon.how could you check that your answer is reasonable

Answers

16 * 6 = x. 

If one sixth of your weight is 16, multiply it by 6. 

16 x 6 = 96.

Final answer:

To find a person's weight on earth when you know their weight on the moon, multiply the moon weight by 6 (since weight on the moon is 1/6 of weight on earth). Therefore, if a person weighs 16 pounds on the moon, they would weigh 96 pounds on earth.

Explanation:

The question asks how much a person weighs on earth if he weighs 16 pounds on the moon. The fact that a person weighs about 1/6 on the moon than on earth would indicate that weight on earth is larger. In this case, you can find the earth weight by multiplying the moon weight to 6 (since it is 1/6). So, using this formula, if a person weighs 16 pounds on the moon, he would weigh 16 * 6 = 96 pounds on earth.

To check if this is reasonable, if you have the earth weight, you can divide by 6 to see if you return to the original moon weight. In this case, 96 / 6 = 16, which is the given moon weight, so the answer seems reasonable.

Learn more about Weight Conversion here:

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How many yards are in 2 millimeters

Answers

in 1 millimeter, there are 0.00109361
So in 2 mm, there are 2 × 0.00109361 = 0.00218722 yards

or do proportions:
(1mm)/(0.00109361yd)(2)/(y)

Cross multiply:

2 × 0.00109361 = y
0.00218711 = y 

0.00218722 yards are in 2 millimeters. 

What should be added to 4c (– a + b + c) to obtain
3a (a + b + c) – 2b(a – b + c)?

Answers

Step-by-step explanation:

here hope it is helpful

the writing is not mine so yeah

Solve the following system of equations by substitution and select the correct answer below:2x − 4y = 24
4x − 12y = 36


x = 18, y = 3

x = 18, y = −3

x = −18, y = 3

x = −18, y = −3

Answers

Answer: x = 18, y = 3

Step-by-step explanation:

Given system of liner equation is :-

2x-4y=24.....(1)\n4x-12y=36..........(2)

From (1), we get

2x=24+4y\n\Rightarrow x=12+2y.........(3)

Substitute the value of x in equation (2), we get

4(12+2y)-12y=36\n\Rightarrow\ 48+8y-12y=36\n\Rightarrow-4y=36-48\n\Rightarrow\ -4y=-12\n\Rightarrow\ y=3

Now, substitute the value of y in (3), we get

x=12+2(3)=12+6=18

x = 18, y = 3

x=(24+4y)/2

4(24+4y)/2-12y=36
48+8y-12y=36
4y=12
y=3

2x-4x3=24
2x=36
x=18

Correct answer: A

Round off 17.2 to one significant figure

Answers

Answer:

round off 17.2 to one significant figure is 17.

Step-by-step explanation:

Given : 17.2 number

To find : round off 17.2 to one significant figure.

Solution : We have given

Number 17.2

We can see from the given number , after decimal number is less than 5 so, we will not consider it.

If the number after decimal is greater than 5 then it increase the previous number by 1

Example: 17.5 it becomes 18.

Therefore, round off 17.2 to one significant figure is 17.

when rounding off the rule is you round off to the nearest 5.
17.2 would then be rounded of to 17. should it have been 17.5 you would then round up to the next 5 which would be 18