How to solve real number arithmetic

Answers

Answer 1

Answer/Step-by-step explanation

1. When adding real numbers with the same sign the sum will have the same sign as the numbers added.

2. When adding real numbers with different signs you subtract the lesser absolute value from the greater one. The sum will then have the same sign as the number with the greater absolute value.

3. There are a couple of properties of addition:

The additive commutative property tells us that the order in which you add the numbers does not change the sum.

4. And the additive associative property tells us that it also that the order in which we group three or more numbers does not affect the sum.

5. The additive identity property tells us that the sum of a number and 0 is always the number.

6. And the additive inverse property tells us that if you add a number with its opposite you will always get 0


Related Questions

Please help me
I don’t know this

Answers

Answer:

1. 10/21

2. 11/21

Step-by-step explanation:

Quadrilateral ABCD is graphed on a coordinate plane. Three of its vertices are at A(2,6), Point B(6,8), and Point C(8,4). Which of the following additional statements is sufficient to prove that quadrilateral ABCD is a square

Answers

Answer:A

Step-by-step explanation:

Got it right in my test lolz

You can use the fact that diagonal of a square are equal and perpendicular to each other.

The option D: Segment BD has a slope  of 3 and a length of [tex]2\sqrt{10}[/tex]

Given that:A has coordinate (2,6)B has coordinate (6,8)C has coordinate (8,4)

When is ABCD square?

One theorem in mathematics states that:

"If diagonals of a quadrilateral are equal and perpendicular to each other, then that  quadrilateral is a square."

Using the fact that diagonal of a square are equal and perpendicular to each other:

For ABCD to be square, we need AC and BD to be of equal length and perpendicular to each other.

Two lines are perpendicular if their slopes are negative reciprocal of each other.

Slope of AC:

[tex]Slope(AC) = \dfrac{rise}{run} = \dfrac{C_y - A_y}{C_x - A_x} = \dfrac{4-6}{8-2} = -\dfrac{1}{3}[/tex]

Thus, slope of BD needed to be negative reciprocal of -1/3 which is 3 for ABCD to be square (first needed condition)

Length of AC:

[tex]|AC| = \sqrt{(C_y - A_y)^2 + (C_x - A_x)^2} = \sqrt{(4-8)^2 + (8-6)^2} = \sqrt{2^2 + 6^2} = \sqrt{40} = 2\sqrt{10}[/tex]

The second condition needs |BD| = |AC|.

Thus, length of BC should be [tex]2\sqrt{10}[/tex]

Thus, the sufficient condition for ABCD to be a square is:

Option D: Segment BD has a slope  of 3 and a length of [tex]2\sqrt{10}[/tex]

Learn more about square and its diagonals here:

https://brainly.com/question/3417399

What is the value of x?
10
15
30
45​

Answers

X is 0,in most situations,but could you provide a picture next time?

A 7-meter roll of red ribbon costs $2.52. What is the unit price

Answers

Answer:

0.36

Step-by-step explanation:

thirty six cents is the unit price

Answer:

$0.36

Step-by-step explanation:

2.52/7 = 0.36

Ace C.a.r.l.o.s.

Laroi

Find the missing value in the table.

Answers

Answer:

i think its 10

Step-by-step explanation:

The answer is 10

y= x + 0.5
9.5 + 0.5= 10

(GIVING BRAINLIEST!!!)

Solve the division equation using the fraction model.

A) 1/12
B) 12
C) 4/12
D) 7

Answers

Answer:

A) 1/12

Step-by-step explanation:

Half of 1/3 is 1/6. But that would only be dividing by 2. If you half 1/6, which would be dividing 1/3 by 4, you get 1/12.

The answer would be A)1/12

You are running late for work. There are 4 traffic signals on your way to work, and if you make all of them,

you will be on time. If you have a 60% chance of making each one, independent of whether or not you made

the previous one, what is the probability that you will make it to work on time?


A. 81/625


B. 64/340


C. 32/125


D. 68/421


E. 25/525

Answers

Answer: A. 81/625

Step-by-step explanation:

From the question, we are informed that there are 4 traffic signals on ones way to work, and there's a 60% chance of making each one, independent of whether or not the previous one is made.

The probability that one will make it to work on time will be to multiply 60% for the 4 period. This will be:

= 60% × 60% × 60% × 60%

= 60/100 × 60/100 × 60/100 × 60/100

= 3/5 × 3/5 × 3/5 × 3/5

= 81/625

The number of customers at Pumpkin PiBakery depends on the price of the pie. Market research says that the number of customers can be estimated by ()=110−4.4,where p is the price of a pie.

Answers

Answer:

Step-by-step explanation:

To find;

a) The number of customers that will be there if the bakery charges $10 per pie

b) To determine how much money (revenue) the bakery will make at that price if one customer buys only one pie.

So; given the function:

C(p) = 110 - 4.4 p

where

p = 10

C(10) = 110 - 4.4(10)

C(10) = 110 - 44

C(10) = 66

Thus, when the bakery charges $10, the number of customers is 66.

The revenue now when each customer purchase only one pie is:

= $66 × 10

= $660

What is the answer to -25X = 225

Answers

Answer:-9

Step-by-step explanation: Divide each term by -25 and simplify

hey ya



define matter




have a great day ​

Answers

Answer:

 matter is any substance that has mass and takes up space by having volume

Step-by-step explanation:

Answer:

Anything which occupies space and have mass is called matter.

Step-by-step explanation:

There is no any explanation of defination of matter xD...

Solve:
-19 + 3x = 3(x - 5)

Answers

Answer:

x=4

Step-by-step explanation:

19+3x=3(x-5)

do rainbows

19+3x=3x-15

subtract 19 on other side

3x=3x+4

divide out the 3s

x=4

A pair of jeans was 30% off the original price. The sale resulted in a $24 discount. What is the original price in a percent?

Answers

Answer:

16%

Step-by-step explanation:

$16.8

$80 is the 100% original price
The sale price is $56 with 30% off and $24 in savings.

please helpppp!! solve this

Answers

Answer:

D. x =9, angle measure is 27°.

Step-by-step explanation:

3x° = 27° (vertical angles)

x° = 27°/3

x° = 9°

x = 9

3x° = 3*9° = 27°

So, x =9, angle measure is 27°.

which of the following graphs represent the equation y=3x-2

Answers

Answer:

C

Step-by-step explanation:

-2 means that the y-intercept is (0, -2), so we can immediately eliminate option D. 3x means that it is a positive correlation, so left to right the line will go diagonally up, so we can eliminate option B.

Finally, we can see that 3x means that the slope is pretty steep, so we can choose C as our answer.

Solve each system by substitution.
1) y = 2x + 2
y = -5x + 16

Answers

Answer:

y = 6

x = 2

Step-by-step explanation:

rearrange the first equation in terms of x

x = (y - 2)/2

substiute x in the second equation

y = -5[(y-2)/2] +16

Now simpilify and solve for y

y = (-5y + 10)/2 +16

y = -5/2y + 5 + 16

y + 5/2y = 5 + 16

3.5y = 21

y = 6

Now substitue y in the first equation to solve for x

x = (6 - 2)/2

x = 2

Answer:

(2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 2

y = -5x + 16

Step 2: Solve for x

Substitution

Substitute in y:                     2x + 2 = -5x + 16Add 5x on both sides:         7x + 2 = 16Subtract 2 on both sides:    7x = 14Divide 7 on both sides:        x = 2

Step 3: Solve for y

Define equation:                    y = 2x + 2Substitute in x:                       y = 2(2) + 2Multiply:                                  y = 4 + 2Add:                                        y = 6

-5x + 3y = 11 and x - 2y = 2 How would I solve by substitution?

Answers

Answer:

x=-4,y=-3

Step-by-step explanation:

I hope this helps!
Let me know if you have any questions!
Can I please have brainiest?

Jasmine starts rock climbing at an elevation of -100 feet and rock climbs up to an elevation of 40 feet. What was Jasmine's change in elevation while rock climbing?
Create an equation to represent the situation. Use x to represent Jasmine's change in elevation while rock climbing.





What is the sales tax rate in Nevada?

Answers

Answer: -100 + x = 40

Step-by-step explanation: We know she starts at -100 feet, she is increasing in elevation, so we want to add a positive x to her initial value of -100. If we keeping adding that x, it will soon result in a positive value of 40.

What value of x makes this equation true?
12x - 15 = 6 - 3x
A 7
3
B3
7
5

Answers

The answer is 7/5 i know this because i made this problem

Selah has 1/5 of a cup of whipped cream to put on top of the ice cream sundaes, how many cups will each sundae have

Answers

Incomplete question :

Here the number of ice cream sundaes isnt Given ; however, we can assume that the number of ice-cream sundae is 5

Answer:

1 / 25

Step-by-step explanation:

Given that :

Total Amount of whipped cream = 1/5 of a cup

Number of ice cream sundae = 5

The amount of whipped cream eat ice cream sundae gets is :

Total Amount of whipped cream / number of ice cream sundaes

(1 /5) ÷ 5

(1 /5) * 1 /5

= 1/25

Hence, each ice cream sundae gets 1/25 of a cup of whipped cream.

What is the volume of a box with sidelines that are 20 inches use the formula B equals S3 where is S is the length of one side

Answers

Answer:

The volume of a box with sidelines that are 20 inches is 8000 cubic inches

Step-by-step explanation:

The volume of a box with sidelines that are 20 inches can be determined by using the formula

B = S³

Where S is the length of one side

and B is the Volume

From the question, the sidelines of the box are 20 inches. That is

S = 20 inches

From

B = S³

B = (20 inches)³

B = 20 inches × 20 inches × 20 inches

B = 8000 cubic inches

Hence, the volume of a box with sidelines that are 20 inches is 8000 cubic inches.

Answer:

8;000 in³

Step-by-step explanation:

because I know

Today, you sold the 459 shares of Rayje Clothiers that you purchased yesterday. How much profit did you make?

Answers

Answer:

The answer is "$6,306.66"

Step-by-step explanation:

Please find the complete question in the attachment file.

Through analyzing data inside this question, we find

The 52  wk high is = 225.8

The 52  wk low is= 169.96

Closed on = 200.43  in yesterday  

Net changing from yesterday to current date = 13.74

Because 459 shares have today being sold so,

net profit = net change [tex]\times[/tex] number of sold shares

                [tex]=13.74 \times 459\\\\= \$ 6306.66[/tex]

Answer:

D

Step-by-step explanation:

Edge quiz 2021

Mandy has a 10.2-ounce container of mustard. She uses 130 of the mustard to put on her hot dog each time. How many ounces of mustard are left after she has eaten 6 hot dogs?


Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

This is from a test isnt it? Is this the snapshot i had exactly this.......CHEATER O-o

8.16 ounces  of mustard are left after she has eaten 6 hot dogs.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Mandy has a 10.2-ounce container of mustard.

She uses 1/30 of the mustard to put on her hot dog each time.

By given,

Mandy has a 10.2-ounce container of mustard.

Now, 1/30 of the mustard to put on her hot dog each time to 6 hot dogs, so weight of mustard used is calculated as

1/30×6×10.2=2.04 ounces

So, Amount of Mustard left after eating 6 hot dogs is,

10.2-2.04=8.16 ounces

Therefore, the required amount of mustard left after eating 6 hot dogs is 8.16 ounce.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

help pls fast i need this​

Answers

Answer:

she would paint 350.4 square feet

Step-by-step explanation:

first you would find the surface area of one of the triangles, then multiple it by 2 because there are 2 triangles. next you would find the area of each individual rectangle. after that you would add up each of the measurements for the triangles and rectangles.

area of a triangle =1/2 base×height

Graph All the plans on the graph provided. Your graph should include talk times between 0 and 200 minutes.

2. Was your plan in part B an example of direct variation (the plan depended only on the time spent talking) or a partial variation? (the plan depended on the time spent talking and an initial cost). 3. Which Plan best for you? Was this the same as your hypothesis? 4. Which plan had the highest rate of change? Which plan has the lowest slope?
5. Using your graph, which plan would be best if you talked for 200 minutes? 6. When is the Rogers My5 plan better than the Telus prepaid plan? 7. Which plans are an example of direct variation? 8. Come up with at least 3 other things that need to be considered when choosing your cell phone plan (aside from cost per minute talking), and explain why these are important to you.

Answers

I'll do the first five problems to get you started.

==================================================

Problem 1

The graph is shown below in the attached image.

==================================================

Problem 2

The plan chosen was Public Mobile, which offered $24 per month for unlimited minutes. This plan does not depend on the number of minutes, so this is not a direct variation. It's also not a partial variation either since the cost doesn't vary (ie change) at all. The monthly cost is fixed at $24 per month.

Even at 200 minutes, this is the cheapest plan as mentioned in the other chart I posted. You can determine this by plugging x = 200 into each equation described earlier. You should find that Public Mobile still gives the cheapest rate. The graph done in problem 1 visually verifies this. The gray line y = 24 is below each of the other lines when x = 200.

==================================================

Problem 3

The best plan is still Public Mobile when x = 1800 minutes per month.

Any x value such that x > 140 will also have Public Mobile be the best plan.

When we get to x = 140 is when this isn't the best plan and instead Bell is the better plan to go with. Note the purple line y = 0.10x+10 is below the gray line y = 24 for values x < 140. This visually shows us that Bell is cheaper compared to Public Mobile.

==================================================

Problem 4

The plan with the greatest rate of change is Telus. This is because y = 0.35x has the largest slope of 0.35

The rate of change is the charge per minute.

==================================================

Problem 5

If you talked for 200 minutes, then Public Mobile is the best plan. This is because the gray line y = 24 is below any other line when we have x = 200.

yay help me plz and I will be happy​

Answers

The answer to this is; B)

Answer:

D

Step-by-step explanation:

Each hour = -0.2 which represents the ounces of the candle that burn down within each hour.

Help please!!!!!!!!!!!

Answers

Answer:

35 new ppl every yr

Step-by-step explanation:

5080÷4870= 210÷6 =35

I don’t know chiejfjcichfcixisjrnificnensjzijdbfncjfifiejbdbc

can you help me please?​

Answers

Answer:

50/100

Step-by-step explanation:

Help me with this pls

Answers

Answer:

The answer should be D) 105 = (5x - 70)

Step-by-step explanation:

Answer:

D. 105=(5x-70)

Step-by-step explanation:

I'm pretty sure its correct but it may not be

PLEASE PLEASE ANSWER!
The graph shows the relationship between the number of pounds of pears purchased and the total cost of pears. What is the cost of 1 pound of pears?

Answers

One dollar, 75 cents

11. Clare is painting some doors that are all the same size. She used 3 liters of paint to cover 1 4/5 doors. How many liters of paint are needed for 1 door? *

Answers

The paint required to cover 1 door is 5/4 liters.

Step-by-step explanation:

The paint required to cover 1 3/5 doors = 2 liters.

Convert mixed fraction into proper fraction.

Therefore, the paint required to cover 8/5 doors = 2 liters.

The paint required to cover 1 door = x liters.

To find x :

Comparing the given data and the unknown data.

8/5 door / 2 liters = 1 door / x liter

x = 2 × 5/8

x = 10/8

x = 5/4 liters.

The paint required to cover 1 door is 5/4 liters.

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