how is the subtraction of integers related to the addition of integers?

Answers

Answer 1
They are both directly derived from the commutative and associative axioms as well as the re-arrangement property.

Related Questions

K=1/2 mv^2. Determine m when v=30 and k=4500

Answers

[tex]K=\frac{1}{2}mv^2[/tex]

when v=30 and k=4500
[tex]4500=\frac{1}{2}m(30)^2[/tex]
[tex]4500=\frac{1}{2}m900[/tex]
[tex]4500=450m[/tex]
divide bot sides by 450
[tex]10=m[/tex]


m=10
k = 1/2mv^2.....v = 30, k = 4500

4500 = 1/2m30^2
4500 * 2 = 900m
9000 = 900m
9000/900 = m
10 = m <==


Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work


The diameter of the average cell in the human body is 1 x 10-5 meters

Answers

This is a conversion problem (meters to nanometers) so all you do is use the values given to you in the question.

We know that 1 meter = 1*10^9 nanometers, meaning that for every one meter is also 1*10^9 nanometers and vice versa. So we can set up the "train tracks"
[
tex] \frac{1*10^9 nanometers}{1 meter} * (1*10^-5 meters) [/tex]
I set it up that way because it cancels out the units "meters" since 1 meter is in the denominator and the other meter is in the numerator.

Then I'll be left with: [tex] \frac{1*10^9 nanometers}{1} * (1*10^-5 ) [/tex]
Now we can solve as is. 
[tex] \frac{1*10^9 nanometers}{1} * (1*10^-5) = 10000 nanometers [/tex]

Correct place value for three thousand eight and twenty four thousandths

Answers

0.3824

Hope this helps!
Correct place value for three thousand eight and twenty four thousandths
3028

which one of the following uses estimation to check 267-154=113? a. 300-200=100. b. 113+154=267. c. 300-150=150. d. 270-150=120

Answers

A, C and D are all using estimation to check the result. 

A is rounding to the nearest multiple of 100. 
267 --> 300 
154 --> 200 

C is rounding to the nearest multiple of 50. 
267 --> 300 
154 --> 150 

D is rounding to the nearest multiple of 10. 
267 --> 270 
154 --> 150 

Those each give you an estimation of the final answer to see if 113 is a reasonable answer. 

Method B is just switching the values around to check the subtraction using addition. That's a valid way to double check the result, but is NOT estimation

If you are only expected to give *one* answer, then method D is the best way to check using estimation because it does the least amount of rounding. 

Answer: 
D. 270 - 150 = 120

b. 113 + 154 = 267 is a way of estimation to check 267 - 154 = 113.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given a numerical expression 267 - 154 = 113.

The correct elimination is we must add 154 to both sides to eliminate 154 on LHS and add 154 on RHS.

∴ 267 - 154 = 113 is

267 + 154 - 154 = 113 + 154,

113+154=267

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you have scored 7,10,8 , and 9 on four quizzes . write and solve an equation to find the score you need on the fifth quiz so that your mean score is 8

Answers

You have scored 7, 10, 8, and 9 on four quizzes. You are trying to find the score you need on the fifth quiz so that your mean score is 8. The definition of means is to add all of the numbers and divide them by how many numbers you added. Therefore, 7+10+8+9 = 34. You need to add the fifth score, which will be "x". (34+x)/5 = 8. 34 + x = 40. x = 6. Thus, your answer is 6.
Final answer:

To achieve a mean score of 8 after five quizzes, you would need to score 6 in your fifth quiz, assuming your scores in the first four quizzes were 7, 10, 8, and 9 respectively.

Explanation:

Yes, these scores are associated with the subject of mathematics, particularly the branch of math known as statistics. This involves determining how to achieve a desired mean, which in this case is 8, given your previous quiz scores.

The mean score is determined by adding all your quiz scores together and dividing by the total number of quizzes. So for your first four quizzes, the total is 7 + 10 + 8 + 9 = 34. The mean so far is 34 ÷ 4 = 8.5 which is already above our targeted mean of 8.

To achieve a mean of 8 over 5 quizzes, the total of your scores would need to be 8 x 5 = 40. Therefore, the score you would need to get on your fifth quiz would be 40 (the desired total) - 34 (the current total) = 6.

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How do u do this math question

Answers

There are 360 degrees in this shape so:

360-140-70-110 = 40

Hope this helped

Finding multiples that go into 86 52 18

Answers

do you need the GCF or LCM the GCF is 2 the LCM is 20124

Find y when x=9 if y varies directly as the square of x, and y=100 when x=5.

Answers

If y varies directly as the square of x, that means that y=k*x^2. Plugging y=100 and x=5 into it, we get 100=k*5^2=k*25. Dividing by both sides, we get k=100/25=4. Going back to the original equation, we now know that y=4*x^2. Plugging 9=x in, we get 4*9^2=4*81=324=y

Answer:

324

Step-by-step explanation:

Given : y varies directly as the square of x

To Find : Find y when x=9

Solution :

We are given that y varies directly as the square of x

[tex]\Rightarrow y \propto x^2[/tex]

So, [tex]\Rightarrow y= kx^2[/tex] ---1

where k is the constant of proportionality

Now we are also given that y=100 when x=5.

Substitute the values in 1

[tex]100= k(5)^2[/tex]

[tex]100= 25k[/tex]

[tex]\frac{100}{25}=k[/tex]

[tex]4=k[/tex]

So, equation becomes  [tex]y= 4x^2[/tex]

Now substitute  x= 9

[tex]y= 4(9)^2[/tex]

[tex]y=324[/tex]

Hence The value of y when x is 9 is 324

simplicity the expression (0.4^3)

Answers

0.4^3 = 0.4 * 0.4 * 0.4 = 0.064
(0.4^3) = (0.4)(0.4)(0.4) = 0.064

hope it helps

PLEASE ANSWER OR ILL FAIL MATH


A seafood restaurant claims an increase of $3,150 over its average profit during a week where it introduced a special of baked clams.



Part 1
If this is true, how much extra profit did it receive per day?

The restaurant received $
450
extra profit per day.


Part 2
If it had, instead, lost $150 per day, how much money would it have lost for the week?

The restaurant would have lost $
1,050
for the week.


Part 3 out of 3
If its total loss was $420 for the week, what was its average daily change?

The restaurant's average daily change was −$
.

Answers

Final answer:

The restaurant gained an additional $450 per day with the special item, lost $1,050 if it had lost $150 per day, and an average daily loss of $60 if the total weekly loss was $420.

Explanation:

To calculate the extra profit per day, we divide the total extra profit by the number of days in a week. $3,150 divided by 7 days gives us $450 extra profit per day.

If the restaurant had lost $150 per day instead, we would multiply the daily loss by the number of days in a week. So, $150 times 7 days equals a total loss of $1,050 for the week.

For the last part, if the total loss for the week was $420, to find the average daily change, we divide this amount by 7. Thus, $420 divided by 7 days equals a daily change of -$60.

A group of 5 friends are sharing 2 pounds of trail mix . Write a division problem and a fraction to represent this situation

Answers

6.4 there's 16 ounces in a pound thats 32 ounces so divide that by 5 =6.4 
2 ÷ 5
2/5
Each friend gets 40% of the bag, btw

Suppose x is a number such that 2x=x/2-6. Must it then be true that 3x=12. Explain your reasoning

Answers

2x = x/2 - 6.....multiply both sides by 2
4x = x - 12
4x - x = -12
3x = -12
x = -12/3
x = -4

3x = 12......3(-4) = 12.....-12 = 12...false......so 3x = 12 is not true because x = -4



2x = x/2 - 6
6 + 2x = x/2
8x = x/2
x^2 = 8/2
x^2 = 4
x^2 - 4 = 0
(x - 2) (x + 2) = 0
x = 2 and x = -2

False

This is the actual right answer :) a teacher saw this :)

if Johnny has 3 apples and he gives Tom one apple how many apples does Johnny have

Answers

2 apples 3-1=2 because if you have 3 apples and tom takes 1 do the math 1-3 you're answer is 2
3-1=2
He has 2 apples

fill the table using this function rule.

y =29-2x

x y

1 ?
3 ?
4 ?
5 ?

Answers

y=29-2(1)
y=29-2=27
(1,27)
y=29-2(3)
y=29-6=23
(3,23)
y=29-2(4)
y=29-8=21
(4,21)
y=29-2(5)
y=29-10=19
(5,19)

Defined as bounded by two distinct end points that contain every point on the line between its end points.
A) circle Eliminate
B) line segment
C) parallel lines
D) perpendicular lines

Answers

Answer:

line segment

Step-by-step explanation:

An industrial kitchen makes a batch of trail mix containing 52.85 pounds of granola, and 13.4 pounds each of four other ingredients. The batch of trail mix is then distributed equally into five storage containers. How much trail mix is in each storage container?

Answers

There is 21.29 pounds in each storage container.

Answer:

There is 21.29 pounds of trail mix in each container.

Step-by-step explanation:

An industrial kitchen makes a batch of trail mix containing 52.85 pounds of granola, and 13.4 pounds each of four other ingredients.

Total ingredients used =[tex]52.85+4(13.4)[/tex]

= 106.45 pounds

The batch of trail mix is then distributed equally into five storage containers.

Hence, each container contains = [tex]\frac{106.45}{5}=21.29[/tex] pounds of trail mix.

There is 21.29 pounds of trail mix in each container.

Evaluate.
2 × ((4^2)^-1)
PLEASE HELP
A. 1/2

B. 1/4

C. 1/8

D. 1/16

Answers

2 * ((4^2)^-1)
2*(16^-1)
2*(1/16)
2/16
1/8

Hope this helps!

N=6 times 35+4 ???? Can Someone Plz Help Me

Answers

Use PEMDAS, and multiplication comes first so 35×6=210. Then add 210+4, which will give you n=214
N=(6)(35)+4
N=210+4
N=(210+4)
N=214



3,817,773 rounded to nearest 100,000

Answers

3,800,000 is the answer
Final answer:

To round 3,817,773 to the nearest 100,000, you look at the digit in the thousands place, which is 1. Since the digit in the hundreds place (7) is greater than or equal to 5, you round up. So, 3,817,773 rounded to the nearest 100,000 is 3,800,000.

Explanation:

To round 3,817,773 to the nearest 100,000, we look at the digit in the thousands place, which is 1. Since the digit in the hundreds place (7) is greater than or equal to 5, we round up. We change the digit in the thousands place to 2 and set all the digits to the right of it to 0. So, 3,817,773 rounded to the nearest 100,000 is 3,800,000.

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I need help with number 4

Answers

So you first want to move all variables to one side.

2x = 1/8 + 4x

So perform the opposite of each operation to move it.

2x - 4x = 1/8 + 4x - 4x

-2x = 1/8

And then just divide both sides by -2

-2x / -2 = 1/8 / -2

x = -1/16

the density of gold is 19.3g/cm3. if I have a nugget with a volume of 10 cm3, what is the mass of the cube?

Answers

Mass= Density•Volume
M=19.3g/cm3• 10cm3
M=193g

The average person loses about 8 x 10 to the first Power of hair each day. About how many strands of hair would the average person lose in 9 days?

Answers

(8×10)×9= 720 strands of hair

3 apples cost $1.26 how much do 10 apples cost

Answers

3 apples cost $1.26. To find the price of how much 10 apples cost, we need to know how much one apple costs. To find that, divide 1.26 by 3.[tex] \frac{1.26}{3}=0.42 [/tex]

That means that one apple is $0.42. Cool! So now, to find how many 10 apples costs, we need to multiply by 10. 

[tex]0.42*10=$4.20[/tex]

10 apples costs $4.20! 
The correct answer is $4.20.

Mischa dives from a platform that is 10 meters above the water. Her dive takes her 2.3 meters below the surface of the water. How far does Mischa's dive take her?

Answers

12.3 meters because of the 10 meters she jumped plus the 2.3 she went down equals 10+2.3=12.3

Answer:

12.3 meter.

Step-by-step explanation:

Mischa dives from a platform that is 10 meters above the water.

Her dive takes her 2.3 meters below the surface of the water.

The total distance of Mischa's dive take her = 10 + 2.3

                                                                         = 12.3 meters.

Mischa's dive takes her 12.3 meter.

The measures of three sides of a triangle can be represented by 2x, 3x and -5, and 4x + 2. The perimeter of the triangle is 65 inches.
a) give an equation to represent this situation.
b) solve for x
c) What are the three lengths of a triangle?

Answers

the sides are 2x, 3x-5 and 4x+2
perimiter is the sum of the sides

a.
2x+3x-5+4x+2=63 is an equation

b.
solve
group like terms
2x+3x+4x-5+2=65
add like terms
9x-3=65
add 3 to both sides
9x=68
divide both sides by 9
x=68/9


2x=2(68/9)=136/9 in
3x-5=3(68/9)-5=(68/3)-5=(68/3)-(15/3)=53/3
4x+2=4(68/9)+2=272/9+2=272/9+18/2=290/9

the side lengths are 136/9in, 53/3in, and 290/9in

Find the domain and range of the relation, and determine whether it is a function.
{(2, 1), (−4, 5), (1, 7), (2, −3), (−1, 2)}

Answers

The domain is all the x values so {2,-4, 1, 2, -1} 
The range is all the y values so    {1, 5, 7, -3, 2}

Yes, it is a function because each item in the domain matches one item in the ranges. 

The domain and range of the relation will be [−4, −1, 1, 2, 2] and [−3, 1, 2, 5, 7], respectively. The relation is a function.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given in the form of a coordinate.

f = {(2, 1), (−4, 5), (1, 7), (2, −3), (−1, 2)}

The domain of the function will be


D = [−4, −1, 1, 2, 2]

And the range of the function will be

R = [−3, 1, 2, 5, 7]

The domain and range of the relation will be [−4, −1, 1, 2, 2] and [−3, 1, 2, 5, 7], respectively.

The relation is a function because the values of the ordinate are different.

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Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12. Monique has a coupon that gives her a discount of x percent on a baseball. She has a second coupon that gives her a discount of y percent on a set of tennis balls. The third coupon gives her a discount of z percent on her total purchase. She cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Monique's purchase after the coupons are applied, the variables represent the percentages as decimals. (1−x)20+(1−y)12+15 (1−z)(20+15+12) Which part of the expression represents the price of the set of tennis balls after a coupon was applied directly to them?

a.)12

b.)12(1−y)

c.)20 + 15 + 12

​ d.)20(1−x) ​

Answers

b is the only answer because its the only one directly applying a discount on the tennis balls 

Answer:

[tex]12(1-y)[/tex] represents the price of the set of tennis balls after a coupon was applied.

Step-by-step explanation:

Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12.

In the given expression, [tex](1-x)20+(1-y)12+15[/tex] ; [tex](1-y)12[/tex] represents the price of the set of tennis balls after a coupon was applied.

Because the second coupon gives her a discount of y percent on a set of tennis balls and the cost of the set is $12.

Lillian bought 2.52 pounds of tomatoes and 1.26 pounds of lettuce to make salad for 18 people. If each person got the same amount of salad , how much salad did each person get?

Answers

Answer:

amount of salad by each person  = 0.21  pounds

Step-by-step explanation:

Lilian bought 2.52 pounds of  tomatoes and 1.26 pounds of lettuce to make salad for 18 people.  That means the combined weight in pounds of tomatoes and lettuce is the weight of the salad.

The weight of the salad = 2.52 + 1.26

The weight of the salad = 3.78  pounds

The total weight of the salad is 3.78 pounds . He shared the weight to 18 people and each person collected the same amount.

To find the amount each person got, we divide 3.78 by 18 people.

amount of salad by each person = 3.78/18

amount of salad by each person  = 0.21  pounds

Use the formula for the area of a rectangle A=lw to answer the question. A rectangle has a width of n units. Its length is 4 units longer than the width. What is the area of the rectangle? A) 2n+4
B) 2+4n
C) 4n
D) n(n+4)

Answers

the area of a rectangle is its length times it width. we know the width is n and the length is n + 4. Therefore the answer is d- n(n+4)
The answer is D. N(n+4)
Hope this helps.

How far did Muhammad and his followers travel in the hijrah?

Answers

320 kilometers (200 miles)
320 kilometers is the answer
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