10.
a. Explain how to add two integers with the same sign.
b. Explain how to add two integers with different signs.

Answers

Answer 1

Answer:

a) 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.

b) 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.

Step-by-step explanation:

Mark me brainliest if it helps you .


Related Questions

How many Christmas trees were sold on sat and sunday?

Answers

Hello :D

Let's form an equation:

x/5 = 27

Let's form another equation:

(x+y)/7 = 34

Rearrange equation one so it is x = 27 x 5 = 135

Now we can substitute this value into equation 2:

(135 + y)/7 = 34

135 + y = 238

y = 238 - 135

y = 103

Answer is 103

Answer:

103 christmas trees.

Step-by-step explanation:

total trees sold in the first five days:

[tex]27 \times 5 = 135[/tex]

total trees sold in this week:

[tex]34 \times 7 = 238[/tex]

The answer is:

[tex]238 - 135 = 103[/tex]

whats the difference in 2/3 - 1/6

Answers

Answer:

2/3&1/6

2/3- 1/6

the LCM for 3 and 6 is 6

=(2x6)/(3x6) -(1x6)/(6x6)

=4/6-1/6

=(4-1)/6

find the difference

= 3/6

=1/2

2/3-1/6= 1/2

By using LCM method, 1/2 is the equivalent fraction by subtracting 1/6 from 2/3.

2/3&1/6

2/3- 1/6

cross multiply

2x6-1x3/3x6

simplify

12-3/18

=9/18

= 1/2

2/3-1/6 = 1/2

By using cross multiplication method, 1/2 is the difference between two fractions 2/3 and 1/6.

Step-by-step explanation:

hope that helps>3

11c+10+8-6???help...

Answers

Answer:

11c+12

Step-by-step explanation:

It's just simple addition and subtraction, it just happens to have a variable.

(The question wasn't super clear on if it was just simplification or if you're supposed to solve for c but if it's asking to solve for c I can update the answer if you let me know)

Find the value of xFind the value of xFind the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

[tex] \frac{x + 2}{6} - \bigg( \frac{11 -x }{3} - \frac{1}{4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2(x + 2)}{2 \times 6} - \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{4 4 - 4x- 3}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4}{12} - \bigg( \frac{41 - 4x}{12} \bigg) = \frac{3x - 4}{12} \\ \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}} = \frac{3x - 4}{ \cancel{12}} \\ \\ 6x - 37 = 3x - 4 \\ \\ 6x - 3x = 37 - 4 \\ \\ 3x = 33 \\ \\ x = \frac{33}{3} \\ \\ \huge \red{ \boxed{ x = 11}}[/tex]

What’s 1/2 times x = 1/2 times 7

Answers

Answer:

1.75

Step-by-step explanation:

Answer:

[tex] \frac{1}{2} \times x = \frac{1}{2} \times 7 \\ \\ \frac{x}{2} = \frac{7}{2} \\ \\ 2x = 2 \times 7 \\ 2x = 14 \\ \\ x = \frac{14}{2} \\ \\ x = 7[/tex]

hope I helped you^_^

What numbers are a distance of 2/3 unit from 1/2 on a number line? Select the locations on the number line to plot the points.What numbers are a distance of 2/3 unit from 1/2 on a number line? Select the locations on the number line to plot the points.

Answers

Answer:

Step-by-step explanation:

1/2 + 2/3 = 7/6

1/2 - 2/3 = - 1/6

in class 9th A number of boys is 5 more than number of girls and 3 times of number of girls is 12 more than double the number of boys find the number of boys and the number of girls​

Answers

Let the number of boys be x
Let the number of girls be y

x=y+5
3y=2x+12

3y=2(y+5)+12

y=22

3×22=2x+12

x=27

(x, y)=(27, 22)

There are 27 boys and 22 girls.

Hope my answer helped u :)

In the diagram below, M'N' is the rotation image of MN about point E. Name all pairs of angles and all pairs of segments that have equal measures in the diagram ​

Answers

Answer:

all of them obtuse acute nothing is too much for this equation though

how many 2/3 cup servings are there in 6 cups of fruit

Answers

Answer:

9 cups

Step-by-step explanation:

6 ÷ 2/3

6/1 ÷ 2/3

6/1 x 3/2 = 18/2 = 9/1 = 9

examples of ratios that equal 18 to 4

Answers

18:4=9:2=27:6=36:8=45:10

Which statement about ABC and DEF is true?

Answers

The answer to this problem is c

Help pleaseeeee
I'm trying to finish my last math practice

Answers

Answer:

x = 2/3 or 0.66

Step-by-step explanation:

f(x) = g(x)

-3x + 4 = 2

-3x = -2

x = 2/3

2xy+3x+4x+3 if x =5 and y = -5

Answers

Answer:

The answer is -12

Step-by-step explanation:

2xy + 3x + 4x + 3 if x = 5 and y = -5

Now,

2xy + 3x + 4x + 3

2(5)(-5) + 3(5) + 4(5) + 3

-50 + 15 + 20 + 3

38 - 50 = -12

Thus, The answer is -12

-TheUnknownScientist

What is another name for JB?

Answers

A) BJ
Is another name for it
Hope this helps *smiles*

Answer: A

Step-by-step explanation:

Cause BJ makes the most sense

30. -3a^2= -3-6^2 is this correct? And I have to evaluate o I am not good at that so if u can help THANK YOU so much!

a=-6

Answers

Answer:

-3a^2= -3*(-6)^2

Step-by-step explanation:

-3a^2 = -3*a^2 = -3*(-6)^2

Clarisse is selling lemonade in her front yard for $0.50 per glass. Each glass is 1/8 of a pitcher. How much money can she make if she sells 5 pitchers?

Answers

Answer:

$20

Step-by-step explanation:

0.50×8=4

4×5=20

50 cents per 1/8 of a pitcher so that would mean that 2/8 or 1/4 would be a dollar and if you keep going like that you will get to 4, then you multiply 4 and 5 to get 20.

Can I please have brainliest?

I need really help please

Answers


Answer:

X= -1/2

Explanation:

4x -6 = 10x - 3

Subtract 4x from both sides (to isolate x)

-6 = 6x - 3

Add 3 to both sides (to isolate x)

-3 = 6x

Divide by 6 (to isolate x)

X = -1/2

4. Which of the following are solutions of the equation 3x2 +27=0 ? Select all that apply.
-13
-3
-3i
I/3
3
зі
REFER TO PIC

Answers

The choose ; 3i , – 3i

3x²+27=0 —> 3x² = - 27 —> x²= - 27/ 3 = - 9

x = √ - 9 = √-1 × √9 = 3 i

I hope I helped you^_^

1/#/test player
O
100%
For a party, Svetlana brought 4 packages of cookies with 16 cookies in each package. She and her friends ate all but 6 cookies,
Which equation can be used to find C, the total number of cookies they ate?
O A, C = (4x 16) + 6
OB, C = (4 + 16) - 6
OC, C = (6 x 16) - 4
OD. C = (4x 16) - 6
O E C = (6 + 16) + 4

Answers

Answer:

Answer is D

C = (4 x 16) - 6

Step-by-step explanation:

There is 4 packages. Packages can hold many cookies in this case 16 cookies can be placed inside 1 package.

The total number of cookies can be calculated:

16 x 4 (4 packages altogether with 16 cookies in each package)

They did not eat 6 cookies so 6 cookies are leftover or remaining:

(16 x 4) - 6 (subtract 6 because they did not eat it, we want what they already ate - takeaway 6)

Basically means: The Total minus The Remaining

(The Total - The Remaining)

Refer to the graphic novel frame below. The brochure says that the rope is 500 feet long. Jacob drew a triangle in the sand that is similar to the actual triangle formed by a parasailer and the boat. Use the properties of similar triangles to determine the parasailer's height above

Answers

   To solve this problem use the property of similar triangles,

 "Corresponding sides of the similar triangles are proportional"

By using this property, height of the parasailer is 160 feet.

From the figure attached,

In ΔPQR, a parasailer is a at point P and a boat is at R.Actual length of the rope PR = 500 ftJacob drew a similar triangle ABC in which parasailer is at A and the boat is at C.

Let the height (PQ) of the parasailer = x ft

Height of the parasailer AB = 25 ft.

And the length of the rope AC = 2.5 ft.

Since, both the triangles ΔABC and ΔPQR are the similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{PQ}=\frac{AC}{PR}[/tex]

[tex]\frac{2}{x} =\frac{2.5}{200}[/tex]

[tex]x=\frac{200\times 2}{2.5}[/tex]

[tex]x=160[/tex] ft

        Therefore, height of the parasailer is 160 feet.

Learn more,

https://brainly.com/question/22206218

tickets to the end of year carnival are 18$ for 4 tickets what is the cost of 9 tickets

Answers

Answer:

40.50 for 9 tickets

Step-by-step explanation:

We can use a proportion to solve

18 dollars       x dollars    

-------------  = ---------------

4 tickets        9 tickets

Using cross products

18 *9 = 4x

162 = 4x

Divide by 4

162/4 = 4x/4

40.50 =x

Answer:

40.5

Step-by-step explanation:

This is divied 18 and 4

= 4.5

Then 4.5*9=40.5

PLEASE HELP I WILL MARK YOU BRAINIEST PLEASE

At their last babysitting gig, Zainab made $44 for 8 hours of work and Keziah made $47.25 in 9 hours. Each girl charges a different hourly rate. For a 10 hour job, which girl will make more money? How much more?

Answers

Answer:

Zeniab makes the most money by $0.25, and would make $2.50 more.

Step-by-step explanation:

Okay, the good news is, this problem is about finding how much you make in an hour.

Zainab makes $44 for 8 hours

and

Keziah makes $47.25 in 9 hours.

in each problem, we can set them up in an equation of

$44=8x

and

$47.25=9x

In the first equation, divide both sides by 8 to isolate the x.

that would be 44/8 = x which is $5.50 per hour for Zainab.

In the second equation, divide both sides by 9 to isolate the x.

That would be 47.25/9 = x which is $5.25 per hour for Keziah.

This means that Zainab would make more per hour, and to find the second part of the question for a 10 hour job,

(You can multiply any number by 10 easily by moving each number up one place. Hundreds go to the thousands when you multiply by 10 as an example. In this problem, 5.50 times 10 would be $55.00 because the 5 behind the decimal would be moved up infront of the decimal)

Zainab would make $55 for 10 hours

Keziah would make $52.50 for 10 hours

Then, take the difference of those final totals, which is $2.50, or multiply $0.25 by 10 to get $2.50

Is -7 an rational number

Answers

Answer:

A rational number is any number that can be expressed as a fraction or ratio of two integers

Answer:

Yes

Step-by-step explanation:


The coordinates of the point 3/10 of the way from A to B are

(Type an ordered pair.)

Answers

Answer:

The coordinates of point P are [tex]\left(\dfrac{-1}{10},\dfrac{-37}{10}\right)[/tex]

Step-by-step explanation:

The Coordinates of point A are (-4,-7), and the coordinates of point B are (9,4).

Let us assume that the coordinates of point [tex]\dfrac{3}{10}[/tex] of the way from A to B are P(x,y).

Now,

Applying the section formula,

[tex]x=\dfrac{3 \times 9+7 \times -4}{3+7}\\x=\dfrac{27 -28}{10}\\x=\dfrac{-1}{10}[/tex]

[tex]y=\dfrac{3 \times 4+7 \times -7}{3+7}\\y=\dfrac{12 -49}{10}\\y=\dfrac{-37}{10}[/tex]

Therefore, the coordinates of point P are [tex]\left(\dfrac{-1}{10},\dfrac{-37}{10}\right)[/tex]

For more information, please refer to the below link:

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/f79a5c1f6e65fb5b41d0f190420ef01b?utm_source=invite&utm_medium=link&utm_campaign=bfp_qpage_box&utm_term=parent

Find the slope of the line passing through the points (-9, -2) and (5,-2).

Answers

Answer:

0

Step-by-step explanation:

(x₁ , y₁) = (-9, -2)

(x₂ , y₂) = ( 5 , -2)

In these two points, there is no change in the y co-ordinates. So the line is parallel to x-axis.

slope of line parallel to x-axis = 0

         

9. Find the exact perimeter of a square whose side length is 5 cube root of 16.​

Answers

Answer:

35.4 centimeters is your answer

80.5

The edges of a cube are called vertices, The inside of each square that takes up a cube is called, Area...So if the side length = 5 then you need to multiply 5x16 wich =  80 right and the length of each side is 5 so ad a decimal then a 5... btw if yur wondering 80.5 and 35.4 are equivalent

The required perimeter of the square with sides 5∛and 16 is 50.4.

Given that,
To find the exact perimeter of a square whose side length is 5 cube root of 16.​

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

What is a square?

A square is defined as a geometric shape that has four-sided and also a regular polygon


In the question, we have been given a side of square 5∛16 say a = 5∛16.
Now, the perimeter of a square is given as
The perimeter of the square = 4 a     (where a is the side of the square)
                                  = 4 * 5 ∛16
                                  = 4 * 5 * 2∛2
                                  = 50.4

Thus, the required perimeter of the square with sides 5∛and 16 is 50.4.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ5


I need help fast pls help me! (question is in the image)

Answers

Answer:

5.2

Step-by-step explanation:

3.7 - (-1.5)

3.7 + 1.5

5.2

Answer:

5.2

Step-by-step explanation:

maths

Given f(x)=21x+11 find f(6)

Answers

Answer:

f(6) = 137

Step-by-step explanation:

Plug in 6 for the x value.

f(6) = 21(6) + 11

f(6) = 126 +11

f(6) = 137

Answer:

[tex]f(6) = 21(6) + 11 \\ =12 6 + 11 \\ =1 37[/tex]

I hope I helped you^_^

34 only must show work for brainliest

Answers

3+2+2x=8
5+2x=8
Subtract 5 from both sides
2x=3
x=1.5
x=taco
Each taco is $1.50

A company spends $100 per day on fixed expenses such as electricity, rent, etc. it also spends $35 per day on each employee working that day. Find a linear equation relating the total daily cost, C, with the mhm er of employees working on any particular day, X.


Write your answer in •slope intercept form•


Find a way to also write in •point slope form•


Thank you!!

Answers

Answer:y=35x+100

Step-by-step explanation:Use that and go and get a converter and pulg it in there

Other Questions
Why is it important for psychologists of different genders and cultural backgrounds to carry out research on behavior and mental processes? I need help with #41 and #42 ASAP please help me How would you correct this in-text/parenthetical citation?The opening line of the novel Moby D*** by Herman Melville is. "Call me Ishmael"(Ishmael 1).A. It is fine as is.B. add a period after the first Ishmael - "Call me Ishmael." (Ishmael 1).C. change it to: (1)D. change it to: (Melville 1) An endothermic reaction isO when energy is absorbedO when energy is releasedO when no energy is released or absorbedO No answer text provided. Kuria is a longtime customer of Middlebury Bank and has a savings account with the bank. She recently took out a car loan from the same bank. What is MOST LIKELY true?The interest rate on the car loan over the entire term of the loan is lower than the interest rate on her savings account.The interest rate on the car loan over the entire term of the loan is higher than the interest rate on her savings account.The bank raised the interest rate on her car loan because she has a savings account with the bank.The bank lowered the interest rate on her savings account because she took out a car loan from the bank. if f(x)=-2x-3 what is f(r+2) ? Reread the text carefully.According to Marco Polo, which labeled location is closest to the city of Dhofar? Each big square below represents one whole What percent is represented by the shaded area? Is -2.75 a whole number, integer or ration number SOLVE:-30 - 6Please also explain how you got your answer. thank you Given the function f(x) = 4x, which formularepresents a formula that is shifted up by 3 z^2 - x; use x = 1, and z = 3 Add the fractions and show me step by step on how to do it 4/54 + 10/27 Could you help please i really dont get it Identify the domain of the function shown in the graph. What do they mean by area of wellness?? What do we call the variable manipulated or tested by the investigator?1. the independent variable2. the constant variable3. in inference variable4. the dependent variable A movie started at 22 45. The movie ended at 01 32 the next day. Calculate the duration of the movie. How many distinct prime factors are in the number 120 ? Keeping in mind scientific notation, roundling,and significant figures, what is 26 x 20?