how do you add and subtract integers?​

Answers

Answer 1

Answer: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.


Related Questions

When
multiplying
signed
numbers. how
do you know
whether the
numberis
positive or
negative?​

Answers

Answer:

Below

Step-by-step explanation:

Follow this rule:

● if the numbers multiplied together have the same signs, the product is a positive number.

● if the nupbers multiplied togethers have different signs, the product is a negative number.

Answer:

Step-by-step explanation:

anytime you multiply a positive+Positive= it equals a positive number  if you multiplying a negative + positive it will equal a negative even if the positive number is bigger for example 4 x -9= -36           9 x 4= 36      -9 x -4 = 36

4(2x - 5)
14
simplified expression

Answers

Answer:

112x-280

Step-by-step explanation:

Solve the equation a = m – n for the variable n

Answers

Answer:

a=m-n

(Add n to both sides)

a+n=m-n+n

(The -n and +n cancel out, on the right side of the equation)

a+n=m

(Now subtract a from both sides)

a+n-a=m+a

(The +a and -a cancel out, on the right side of the equation)

n=m+a

Answer:

[tex]\huge \boxed{n=-a+m}[/tex]

Step-by-step explanation:

[tex]a=m-n[/tex]

Adding [tex]n[/tex] to both sides.

[tex]a+n=m-n+n[/tex]

[tex]a+n=m[/tex]

Subtracting [tex]a[/tex] from both sides.

[tex]a+n-a=m-a[/tex]

[tex]n=m-a[/tex]

12 snakes have how many eyes altogether?

Answers

Answer:

24

Step-by-step explanation:

12 * 2 = 24

How is the intersection point of two linear functions related to solving
a linear equation?

Answers

Answer:

Linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

Step-by-step explanation:

If we have two linear functions f(x) and g(x) which are intersecting at a point (a,b), then equating both functions we get a linear equation as

[tex]f(x)=g(x)=y[/tex]

On solving this linear equation we get the x-coordinate of the point of intersection, i.e., x=a.

After that, we need to substitute x=a in either f(x) or g(x) to get the y-coordinate of the point of intersection.

Therefore, the linear equation formed by equating both functions is used to find the x-coordinate of the intersection point.

Find the next item in the pattern.

Z, Y, X,...

Answers

Answer:

W

Explanation:

Answer:

W

In the pattern ,alphabets are arranged from the opposite direction.

Simplify the following algebraic expression:


- 3n(-n+4) - n(3 +7n)

Answers

Answer:

The expression simplified

Answer:

-4n^2 + -15n

Step-by-step explanation:

-3n(-n + 4) - n(3 + 7n)

= -3n * -n + -3n * 4 + -n * 3 + -n * 7n

= 3n^2 + -12n + -3n + -7n^2

= -4n^2 + -15n

Cheers.

BE || CD 1. Given 2. ∠A ≅ ∠A 2. Reflexive Property 3. ∠ACD ≅ ∠ABE 3. Corresponding angles formed by parallel lines and a transversal are ≅. 4. ∠ADC ≅ ∠AEB 4. Corresponding angles formed by parallel lines and a transversal are ≅. 5. ΔABE ∼ ΔACD 5. AA Similarity Postulate 6. AC AB = AD AE 6. Definition of Similar Triangles 7. AC = AB + BC, AD = AE + ED 7. ??? 8. AB + BC AB = AE + ED AE 8. Substitution 9. AB AB + BC AB = AE AE + ED AE 9. Addition 10. BC AB = ED AE 10. Subtraction Fill in the missing reason for the proof. A) Transitive Property B) Subtraction Property C) SSS Similarity Theorem D) Segment Addition Postulate

Answers

Answer:

The correct option is Segment Addition Postulate

Step-by-step explanation:

The segment addition postulate states that where there are two points on a line A and C and a third point B can only be located on the line segment AB if and only if the the distances between point A and point B as well as the distance between point B and point C satisfy the equation AB + BC = AC

Therefore, given that in the figure,  the point B is in between point A and point C on segment AC then AB + BC

Similarly, AD = AE + ED.

A rectangular block of land is 6 m long and 3 m wide. A fence is to be constructed around the perimeter. What is the length of the fence?​

Answers

Answer:

18

Step-by-step explanation:

6+6+3+3=18

Please Brainliest!!!

Function Operations​

Answers

To solve these you have to plug in the numbers into the equations. For example take the question g(9) + f(4). To solve this you have to think that the number 9 replaces the letter x in the g(x) equation and the number 4 replaces the letter x in the f(x) equation.
Once you plug in the numbers, you can solve each equation separately. You’ll see that g(9) is equal to 757 and f(4) is equal to 51.
Now since the question is asking for g(9)+f(4) you can now do 757+51 which is equal to 808.

I hope I got all the numbers right, but if I didn’t you get the point.

are the expressions 2(3x - 6) and 2(3x)x - 6 are equivalent​

Answers

Answer:

No

Step-by-step explanation:

So lets do the first expression first

2(3x-6)

6x-6

So the first one is 6x-6

Now the second expression

2(3x)x-6

As you can see here, there's an extra x in this problem compared to the last problem, but lets still work it out

6x*x-6

So they are different.

If the extra x wasn't there then it would've worked.

Tell me if this helped

find the length of the missing side of the right triangle.​

Answers

Here you are trying to find the hypotenuse. So you would take
5^2 (five squared) plus 12^2 (twelve squared) and add them using the equation a^2+b^2= c^2. Now you square 5 and 12 to get 25 and 144. You add them together and get 169. Take the square root of 169 and c. The square root on c will cancel out the squared (to the power of two) part leaving you with just c. And the square root of 169 is 13. So c (the missing length) is 13. C=13.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{13 \: \: units \: }}}}}[/tex]

Step-by-step explanation:

Perpendicular ( p ) = 5

Base ( b ) = 12

Hypotenuse ( h ) = ?

Finding the length of missing side

Using Pythagoras theorem

[tex] \boxed{ \sf{ {h}^{2} = { p}^{2} + {b}^{2} }}[/tex]

plug the values

⇒[tex] \sf{ {h}^{2} = {5}^{2} + {12}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{ {h}^{2} = 25 + 144}[/tex]

Add the numbers : 25 and 144

⇒[tex] \sf{ {h}^{2} = 169}[/tex]

Squaring on both sides

⇒[tex] \sf{ \sqrt{ {h}^{2} } = \sqrt{169}} [/tex]

Calculate

⇒[tex] \sf{ {h} = 13 \: units}[/tex]

Hope I helped!

Best regards! :D

for geometry PLEASE HELP it’s URGENT DO NOT waste my answers please

Answers

Step-by-step explanation:

Remember: the midsegment is always parallel to the third side, and the length is half of the third side. (Third side = XY) Assuming that line segment XY is the length of the third side of the triangle, we can insert it into this equation:

[tex]m=\frac{AB}{2}[/tex]

Let's plug in XY for AB.

[tex]m = \frac{XY}{2}[/tex]

[tex]m=\frac{12}{2} \\[/tex]

[tex]AC=6[/tex]

Our final answer: AC = 6

Match the inequality with its symbolic form.
x>5
A number is larger than 5.
x 25
A number is below 5.
X35
A number is not less than 5.
*<5
A number is at most 5.

Answers

Answer/Step-by-step explanation:

The following inequalities can be translated and matched as follows:

1. A number is larger than 5:

Let that number be x. Numbers that are larger than 5 are 6, 7, 8 and so on. Therefore, the number that is larger is greater than 5. This can be represented in the symbolic form as:

x > 5

2. A number is below 5:

Numbers that are below 5 are 4, 3, 2 and so on. Therefore, we can say the number, x, is less than 5. This can be written in symbolic form as:

x < 5

3. A number is not less than 5:

A number that is not less than 5 could equal 5 or any other number that is larger than 5. Therefore, we can say the number, x, equals 5 or greater than 5. This can be written as:

x ≥ 5

4. A number is at most 5:

At most 5, means the number, x, is either 5 or less than 5. This can be written as:

x ≤ 5

just copy off of the picture :)

the volume of a coffee mug should be measured in

Answers

Answer:

I think it's millilitres.

Explanation: You use millilitres or fluid ounces to measure a coffee mug.

Hope it helps!

Answer:

The cup is a cooking measure of volume, commonly associated with cooking and serving sizes. It is traditionally equal to half a liquid pint in US customary units, or an amount between 200 mL and 250 mL (​1 ⁄ 5 and ​1 ⁄ 4 of a litre) in the metric system, which may vary due to location.

Solve 2x^2+x=15. Please

Answers

Answer:

x=(5/2,-3)

Step-by-step explanation:

2x²+x=15

2x²+x-15=0

(2x-5)(x+3)=0

x=(5/2,-3)

Move all terms to the left and set the equal to zero. the. set each factor to equal zero you would get x=5/2, -3

A square has an area of 157 square centimeters. The length of the square's sides would be between-
O 13 cm and 14 cm
O 14 cm and 15 cm
O 12 cm and 13 cm
11 cm and 12 cm

Answers

I’m pretty sure it’s 12 cm and 13 cause when you multiply those numbers you get 156 square centimeters and you said 157 so I think you accidentally clicked 7 instead of 6 but the ANSWER IS 156

A Farmer picks 242 apples on Monday and 118 apples on Tuesday. On Wednesday, she sells 109 of the apples at the market. Which equation can be used to find a, the number of apples of farmer has left?

Answers

Answer:

the farmer has 242 apples left

Step-by-step explanation:

A = awnser

M= Monday

T= Tuesday

M= 242

T= 109

W = amount sold or 109

(M+T)-W= total amount left

use order of operations and add whats in the (   )

( 242+109 ) = 351 or ( M+T )

then you would use the sum of ( M+T ) and subtract W or 109 wich would then equal 242 so the equation

( 242+109 ) - 109 would equal 242 or ( M+T ) - W = A

Write an algebraic expression for 3 times the difference of -4 times q minus 10

Answers

Answer:

3*(-4*q-10)

Step-by-step explanation:

Last month, Ed ate 9 apples, 5 bananas, 4 peaches, and 7 oranges. Find the ratio bananas to the total number of fruit. Then explain the meaning.

Answers

Answer:

Last month, Ed ate 9 apples, 5 bananas, 4 peaches, and 7 oranges. Find the ratio bananas to the total number of fruit. Then explain the meaning.

Step-by-step explanation:

first since there is 5 bananas it will be 5:_ and then the total so add up all the fruits

9+5+4+7=25 so

5:25

or

1:5

what is 12/4 plus 18 as a fraction

Answers

Answer:

21

Step-by-step explanation:

12/4.+18

The lcm is 4.

12+4(18) all divided by 4

12+72=84

84/4=21

Answer:

[tex] \frac{84}{4} \: or \: 21[/tex]

Step-by-step explanation:

[tex] \frac{12}{4} + 18 = \frac{12}{4} + \frac{18}{1} = \frac{12 + 72}{4} = \frac{84}{4} \: or \: 21 [/tex]

Criss cross the fraction and you will get the answer.

Hope this helps ;) ❤❤❤

The angles of a triangle re 2y , 3y , and 4y ,find the value of y in degrees ​

Answers

2y + 3y + 4y = 9y
180 divided by 9 = 20
Y = 20 degrees

Answer:

y = 20°

Step-by-step explanation:

[tex]Sum\:of\:angles\:in\:a\:triangle = 180\°\\\\2y\°+3y\°+4y\° =180\°\\\\Simplify\\9y\° = 180\°\\\\Divide \:both\:sides\:of\:the\:equation\:by\:9\\\frac{9y}{9} = \frac{180\°}{9} \\y = 20\°[/tex]

Suppose you want to solve the equation 2a+b=2a, where a and b are nonzero real numbers. describe the solution.

Answers

Answer:

b=0       would appreciate brainliest

Step-by-step explanation:

Otherwise, no solution for this equation. You cannot isolate the variable a; its solution value can be anything, but you still find b=0.

2a+b=2a

b+2a=2a

b+2a-2a=2a-2a

b+0=0

b=0

1.   Which becomes 2(1) + 0 = 2(1)

2.    2 + 0 = 2 :

3.    2 = 2. Here we can observe the equality.

4C + 5 does not equal 0 and C is a real number what is the multiplicative inverse of 4C + 5

Answers

Answer:

1/ ( 4c+5)

Step-by-step explanation:

To be a multiplicative inverse, they multiply to 1

Let x be the multiplicative inverse

(4c+5) * x = 1

Divide each side by (4c+5)

x = 1/ ( 4c+5)

What is the median in the following number set?
34, 71, 45, 21, 88, 53

Answers

Answer:

43 & 53

Step-by-step explanation:

Solve . What is the value of x? There is no real number solution for x.

Answers

Answer:

There is no problem.

Step-by-step explanation:

Answer:

1/6 on ed

Step-by-step explanation:

The distance along a straight road is measured as shown in the diagram below. If the distance between towns A and C is 67 miles, find the
distance between towns A and B. Homework Help
5x-2
2.x+6

Answers

Answer:

please re explain your question

You poured 3/4 cup of water in a measuring cup recipe indicates that you only need 2/3 cup how much water should you pour out

Answers

Answer:

you need to pour out 1/12 of the water.

Step-by-step explanation:

[tex]\frac{3}{4} -\frac{2}{3}[/tex]

you need to find like denominators

[tex]\frac{9}{12} -\frac{8}{12 }[/tex]

Now subtract

[tex]\frac{1}{12}[/tex]

Kens prediction temperature for April 7C. His prediction for May is 2C higher than April. He use the number line to solve the problem, starting at zero, moving right to seven, and then moving to units to the left. Explain Ken's error

Answers

Answer:

Step-by-step explanation:

Given that:

Ken's prediction temperature for April 7C.

His prediction for May is 2C higher than April.

He attempts to use the number line to solve the problem.

On a number line, we have the origin at a given point zero, the positive x-axis to the right side, and the negative x-axis to the left side.

So, if Ken's starts from zero and move right to seven and the move units to the left, the error he made was moving 2 units to the left because he supposed to have continued in the right direction by moving 2 units forward. This is because moving to the left side will showing a decrease in the temperature by -2° C and he intends to have 2° C.

how do I solve this ​

Answers

Answer: pemdas you solve each portion in the order of pemdas  parenthesis, exponents, multiplication, division, addition, and subtraction  so you would start with 2(5x)  than you would need to make both sides true so if you were to take 6 away from the left side of the equal sign you would need to do the same on the other side so put negative six on the right side

Step-by-step explanation:

Answer:

[tex]\huge \boxed{\mathrm{No \ solutions.}}[/tex]

Step-by-step explanation:

[tex]6-2|5x|=86[/tex]

Subtracting 6 from both sides.

[tex]-2|5x|=80[/tex]

Dividing both sides by -2.

[tex]|5x|=-40[/tex]

Solving for absolute value.

Absolute value cannot be less than 0.

There are no solutions.

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