Explain why you add to find the sum of two integers, but subtract to find the sum of a positive and negative integer

Answers

Answer 1
this has to do the adding/subtracting signs...

when u r adding/subtracting signs....if the signs are the same, u add them and keep the sign.
-4 + (-2) = -4 - 2 = -6...........2 + 5 = 7......-3 + (-1) = -3 - 1 = -4

when ur adding/subtracting signs...if the signs are different, u subtract and take the sign of the larger number...
-4 + 7......subtract 7 - 4 = 3....the larger number (7) is positive, so ur answer is positive....so ur answer is 3

4 - 7....subtract 7 - 4 = 3....the larger number(-7) is negative, so ur answer is negative.....ur answer is -3

but dont get this confused with multiplying/dividing with signs....they have different rules


Related Questions

please help!!ASAP!!!!!!!

Answers

y + 7 = 5x is a linear function ... y = 5x - 7 (equation of a LINE which is LINE A R)
I put these all in my calculator and the linear equation is B. Y+7=5X

He total cost (in dollars) of producing xx coffee machines is c(x)=2300+40x−0.9x2. c(x)=2300+40x−0.9x2. (a) find the exact cost of producing the 21st machine.

Answers

$2743.1 .

Cost of producing 21st machine = $2743.1 .

What is function?A function is defined as a relationship between a set of inputs that each have one output. A function is a relationship between inputs in which each input is related to exactly one output. Every function has a domain and a codomain, as well as a range. In general, a function is denoted by f(x), where x is the input.When f and its derivatives are substituted into the equation, a solution is a function y=f(x) that satisfies the differential equation.The highest order of any derivative of the unknown function that appears in the equation is the order of a differential equation.

Given function,

c(x)=2300+40x−0.9x².

To find the cost of producing the 21st machine,

We have to find c(21).

c(21) = 2300+40(21)−0.9(21)²

       = 2300 + 840 - 0.9 x 441

       = 2300 + 840 - 396.9

       = $2743.1

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Final answer:

To find the exact cost of producing the 21st coffee machine, substitute x = 21 into the given cost function, resulting in a cost of $2743.1.

Explanation:

The question asks for the exact cost of producing the 21st coffee machine given the cost function c(x) = 2300 + 40x - 0.9x². To find this, we substitute x = 21 into the cost function.

First, let's plug in x = 21 into the cost function:

c(21) = 2300 + 40(21) - 0.9(21²)c(21) = 2300 + 840 - 0.9(441)c(21) = 3140 - 396.9c(21) = 2743.1

Therefore, the exact cost of producing the 21st machine is $2743.1.

Felicia has 34 quarters,25 dimes and 36 pennies,how many coins does Felicia have?

Answers

Your math problem would be 36+34+25 which equals 95

In order to find the total number of coins, we need to add all the coins that she has:

34 coins + 25 coins + 36 coins = 95 coins

Felicia has a total of 95 coins.

The correct answer is C


What is 5x923 in expanded
form

Answers

4,615

Hope this helped!
5 x 900+20+3
There you go

Alan bought 3 pencils and a notebook. The notebook cost $6, and he spent a total of $12. How much did each pencil cost? Use p to represent the cost of each pencil. A. ; each pencil cost $2.50. B. ; each pencil cost $1.50. C. ; each pencil cost $2. D. ; each pencil cost $2.

Answers

So the pencils all together would be $6 so divide that by 3 and you get D as your answer each pencil costs $2

Cost of each pencil will be $2

What is Linear Equation ?

A linear equation is an equation in which the highest power of the variable is always 1 .

Number of pencil bought = 3

Number of notebook bought = 1

Cost of each notebook = $6

Cost of each pencil = ? let say its = x

Total money spent = $12

according to question , linear equation will be :

3* (x) + 1 * (6) = 12

3x = 6

x = 2

cost of each pencil will be $2

answer is d) $2

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Find the cost of laminating decolam to a circular table of radius 1.4 m if the rate of decolam is rupees 50 per square metre

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ -----\\ r=1.4 \end{cases}\implies A=\pi 1.4^2\implies A=\stackrel{m^2}{1.96\pi} \\\\\\ \textit{now, decolam is }\stackrel{rupees}{50}~per~m^2\implies \stackrel{\textit{total cost}}{50\cdot 1.96\pi }[/tex]

Alex is saving money because she would like to purchase the new video gaming system that everyone has been talking about. After two weeks of saving, she had $47. After 24 weeks of saving, she had $430. Approximately how many dollars per week did Alex save on average between weeks 2 and 24?

Answers

About $7 a day because nothing multiplied by two gives you $47.
First we take out the first two weeks

24-2 = 22
430-47 = 383

Now we are just left with after the two first weeks

383/22= 17.41 dollars

A superhero recently asked his nemesis how many cats she has. She answered with a​ riddle: "Seven-eighths of my cats plus five." How many cats does the nemesis have?

Answers

Final answer:

The question presents a riddle that can be solved by setting up and solving an algebra equation. Based on the provided information, the solution to the problem is that the nemesis has 40 cats.

Explanation:

The problem describes a riddle: "Seven-eighths of my cats plus five." This scenario is a typical mathematical representation of an algebra problem where you need to find the total number of cats.

Let us denote the total number of cats as 'C'. According to the riddle, 7/8 of the cats plus 5 equals the total cats. As per this, the equation can be written as 7/8*C + 5 = C. Solving this will lead us to find the number of cats.

Subtract 7/8*C from both sides of the equation: 5 = C - 7/8*C, which simplifies into: 5 = 1/8*C. To solve for 'C', we then multiply both sides of the equation by 8: 5*8 = C. Hence, the nemesis has 40 cats.

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How to divide 546 divided 78

Answers

7 is the answer to this question
You can either do long division or list out 78's multiples. 

          007
1. 78√546 

2. 78, 156, 234, 312, 390, 468, 546

This is a standard deviation contest. you must choose four numbers from the whole numbers 22 to 9595, with repeats allowed. choose four numbers that have the largest possible standard deviation. (give your answer in the form of comma separated list of numbers in ascending order.)

Answers

Given a set numbers, to get the largest possible standard deviation, we use the numbers at the extreme.

Therefore, if we are to choose 4 numbers from 22 to 9,595 such that we have the largest possible standard deviation, the four numbers are 22, 22, 9,595 and 9,595.

the length of a banquet table is 3 feet longer than 5 times it's width. if the perimeter is 54 feet. What are the dimensions of the table?

Answers

First set up the equations for the length:

5x + 3

Now, lets find the perimeter:

5x + 3 +5x + 3 + x + x = 54
12x + 6 = 54
12x = 48
x = 4

Hope this helps!

Find the area of a triangle with vertices at D(2,0), B(-1,0), and R(2,-7)

Answers

check the picture below.

you can pretty much get the lengths right off of the grid.

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m.

Answers

Question:  The expression -3m - [2m + (5 - m)] +7 was simplified as 2 - 4m.  Without simplifying, explain how you can show that it has been simplified correctly.

Answer may include:

If the expression has been simplified correctly, then the expressions will be equivalent.

The expressions will have the same value when numbers are substituted in for the variable m.

Choose a value for m and substitute in to both expressions.

Simplify each expression using the order of operations and show they are the same value.

The given expression is simplified correctly.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is -3m-[2m+(5-m)]+7

= -3m-2m-5+m+7

= (-3m-2m+m)-5+7

= -4m+2

= 2-4m

Hence, the given expression is simplified correctly.

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"Your question is incomplete, probably the complete question/missing part is:"

The expression -3m-[2m+(5-m)]+7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

What is the least number of line segments that make exactly 100 squares?

Answers

the answer for this question is 10


Answer with explanation:

First Possibility

→→100 Squares in a Row Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

→→100 Squares in a Column Requires 101 smaller line segments of equal length ,and 2 line segments of Larger Length having length equal to 100 times the length of one of the Smaller segments.

 So, total number of line segments =101 +2=103

Second Possibility

If you draw 11 line segments of equal length in a column and 11 line segments in a row, you can draw 100 square of equal size.

   So, total number of line segments =11+11=22

365 x 11? please answer!!!

Answers

365 x 11 = 4015

hope this helps

The expression 365 multiplied by 11 is equal to 4,015.

We have,

Calculating 365 multiplied by 11 is the basic multiplication algorithm.

This algorithm involves multiplying each digit of the multiplier (11) by each digit of the multiplicand (365), starting from the rightmost digit and moving toward the left

365 multiplied by 11 equals 4,015.

To explain the calculation:

We can perform long multiplication to find the product of 365 and 11:

   365

x   11

------

  365   (multiply 365 by 1)

+3650   (multiply 365 by 10)

------

 4015   (sum the two products)

Therefore,

365 multiplied by 11 is equal to 4,015.

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845,001 rounded to the nearest ten thousand

Answers

Answer:

850,000

Step-by-step explanation:Meow

solve the system of equations by graphing 4x-5y=20

Answers

Here is your graph of the system. Where they cross is the answer, which is -4. Pretty much you have to graph each equation and where they meet is the answer.

and doing some vandalizing to the posted image by MathJot, check the picture below.

[tex]\bf \begin{cases} 4x-5y=20\\ 3x+y=-4 \end{cases}\\\\ -------------------------------\\\\ 4x-5y=20\implies 4x-20=5y\implies \cfrac{4x-20}{5}=y\\\\\\ \boxed{\cfrac{4x}{5}-4=y} \\\\\\ 3x+y=-4\implies \boxed{y=-4-3x}[/tex]

Simplify 2(x + y) + 3(x + y)

Answers

Distribute
2x+2y+3x+3y

Combine like terms
5x+5y

Final answer: 5x+5y

ps Another way to do it is that know the two inner binomials are the same so you can write it as (2+3)(x+y) which simplifies to 5(x+y) and distributes to 5x+5y

which rate converts to a unit rate of 65 miles per hour

Answers

(lol were both doing unit rate rn im just pausing to do some brainly questions)

We know that Unit Rate can be found by dividing. 
i think you want the answer right now so if you need an explanation then tell me in the comments
Its number A. Hope this helped!

What is 265888 rounded to nearest ten thousands

Answers

It would be 270,000. The 6 is higher then 5 so you round up

Pablo is a technical writer who works 7.5 hours per day. He spends twice as much time on writing tasks as he does on other work tasks. How much time per day does he spend on writing tasks?

Answers

pablo spends 15 hours on writing tasks
answer: twice as much=2 times this number
then twice as much= 7.5 times 2
7.5 times 2= 15hrs

how do i solve it 1.2c=0.6

Answers

[tex]1.2c=0.6[/tex] 

[tex]c= \dfrac{0.6}{2.1} [/tex] 

[tex]c=0.5[/tex]
1.2c = 0.6

1.2c/1.2 = 0.6/1.2

c = 0.5

0.5 is your answer

hope this helps 


Gordon Rosel went to his bank to find out how long it will take for $2,500 to amount to $3,090 at 6% simple interest. Calculate the number of years. (Round time in years to the nearest tenth.)

Answers

It will take 4 years
A(t) = P(1+rt)
2310 = 1800(1+0.0775*t)
1.2833 = 1+0.0775t
0.0775t = 0.2833

Which function below has the largest slope? f(x) x f(x) −3 −10 −1 −7 1 −4 g(x) equals one half x plus 3 h(x) Lance gains 1 level each time he plays his favorite video game. He started at level 10.

Answers

f(x) and h(x) both have a slope of 1 and g(x) has a slope of 0.5 from the info you gave. check for typos

Answer:

f(x)

Step-by-step explanation:

Which number when multiplied by 3/4 gives a product between 3/4 and 1?

A: 0
B: 1/4
C: 3/4
D: 1 1/4

Answers

1 1/4 = 5/4

5/4 * 3/4 = 15/16


Answer is D 1 1/4

D is the answer
3/4*1 1/4

write an equation of the circle that is tangent to both axes with radius sqrt5 and center in quadrant 3

Answers

check the picture below.

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 ~~ \begin{array}{lllll} center~(&\quad {{ h}},&\quad {{ k}}\quad )\qquad radius=&{{ r}}\\ &-\sqrt{5}&-\sqrt{5}&\sqrt{5} \end{array} \\\\\\\ [x-(-\sqrt{5})]^2+[y-(-\sqrt{5})]^2=(\sqrt{5})^2 \\\\\\ (x+\sqrt{5})^2+(y+\sqrt{5})^2=5[/tex]

Which value represents |7.8|?

Answers

Since absolute value is just taking the positive value of whatever you put in the function, it is 7.8 as well. Also, absolute value can be described as the distance from 0 on the number line. 7.8 is 7.8 "units" away from 0, thus meaning it is equal to 7.8.

The value of |7.8| is 7.8 because the absolute value of a number is the non-negative value of that number without regard to its sign.

The student has asked what the value of |7.8| is. The absolute value, denoted by the vertical bars, refers to the distance of a number from zero on the number line without considering direction. Therefore, the absolute value of 7.8 is 7.8 itself, regardless of any negative sign. It's because the absolute value of a positive number is the number itself, and the absolute value of a negative number is the positive version of that number.

sophia used 1/3 of an ounce of cheese to make 1/12 of a pound of pizza dough. How many ounces of cheese are needed to amke a pound of pizza dough

Answers

Sent a picture of the solution to the problem (s). When comparing two thing like these, use a proportion to solve for x (what you are missing).

What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10

Answers

The side lengths of the rectangle are (x - 2) and (x + 5)

What are areas?

The area of a shape is the amount of space on the shape

The area of the rectangle is given as;

[tex]Area = x^2 + 3x - 10[/tex]

Expand the expression

[tex]Area = x^2 + 5x - 2x - 10[/tex]

Factorize the expression

[tex]Area = x(x + 5) - 2(x + 5)[/tex]

Factor out x + 5

[tex]Area = (x - 2)(x + 5)[/tex]

Hence, the side lengths of the rectangle are (x - 2) and (x + 5)

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Final answer:

The side lengths that model a rectangle with an area of x^2 + 3x – 10 are x + 5 and x – 2, obtained by factoring the quadratic expression.

Explanation:

To find the side lengths of a rectangle that model an area of x2 + 3x – 10 square units, we need to factor this quadratic expression. Factoring involves finding two binomials that when multiplied together, give the original quadratic expression. The factors of -10 that add up to 3 (the coefficient of the middle term) are 5 and -2. Therefore, the factored form of x2 + 3x – 10 is (x + 5)(x – 2), meaning the side lengths that can be used to model this rectangle are x + 5 and x – 2.

Using simple linear regression, calculate the trend line for the historical data. say the x axis is april = 1, may = 2, and so on, while the y axis is demand. (round your intercept value to the nearest whole number and slope value to 2 decimal places.

Answers

Given a table of historical demand for a product as follows:

[tex]\begin{tabular} {|c|c|} &Demand\\[1ex] April&60\\ May&55\\ June&75\\July&60\\August&80\\September&75\\ \end{tabular}[/tex]

The linear regression equation is given by

[tex]\hat{Y}=bx+a[/tex]

where:

[tex]b= \frac{n\Sigma xy-\Sigma x\Sigma y}{n\Sigma x^2-(\Sigma x)^2} [/tex]
and
[tex]a= \frac{1}{n} (\Sigma y-b\Sigma x)[/tex]

We calculate the required values using the following table, where
April = 1, May = 2, and so on.

[tex]\begin{tabular} {|c|c|c|c|} X &Y&X^2&XY\\[1ex] 1&60&1&60\\ 2&55&4&110\\ 3&75&9&225\\ 4&60&16&240\\ 5&80&25&400\\ 6&75&36&450\\[1ex] \Sigma X=21&\Sigma Y=405&\Sigma X^2=91&\Sigma XY=1,485 \end{tabular}[/tex]

Thus,

[tex]b= \frac{6(1,485)-21(405)}{6(91)-(21)^2} \\ \\ = \frac{8,910-8,505}{546-441} = \frac{405}{105} \\ \\ \approx3.86[/tex]

and

[tex]a= \frac{1}{6} (405-(3.86)(21)) \\ \\ = \frac{1}{6} (405-81)= \frac{1}{6} (324) \\ \\ =54[/tex]

Therefore, the trend line for the historical data is given by [tex]\hat{Y}=3.86x+54[/tex]
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