Consider the set of rational numbers to solve the problem.
What is the inverse of 43 under the operation of addition?

Answers

Answer 1

Answer:

  -43

Step-by-step explanation:

The additive inverse of 43 is its opposite, -43.

The sum of a number and its additive inverse is the additive identity element:

  43 + (-43) = 0


Related Questions

find the slope of the line passing through (-4, 5) and (-8,-5)

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{(-4)}}}\implies \cfrac{-10}{-8+4}\implies \cfrac{-10}{-4}\implies \cfrac{5}{2}[/tex]

Slope = (y2 - y1) / (x2 - x1)

Slope = (-5 - 5) / (-8 - -4)

Slope = -10 / -4

Slope = 10 / 4

Which is the same as 5/2.

The total cost of four pens and six mechanical pencils is $16.20. The cost of each pencil is 70 cents. Using an arithmetic approach, find the cost of a pen.​

Answers

Answer:

300 cents or $3

Step-by-step explanation:

Let p be the cost of one pen and m be the cost of one mechanical pencil. We can use this to set up a system of equations:

4p+6m=1620 (convert $16.20 to cents by multiplying it by 100)

m=70

We can solve this using substitution (substitute 70 for m):

4p+6(70)=1620

4p+420=1620

Subtract 420 from both sides

4p=1200

Divide both sides by 4

p=300 cents or $3

Scale factor of S to T is 4:1 FIND Y

Answers

10/Y =4/1
Then to get y :
You will use cross multiplication , so it will be 4Y=10
Divide 4 on both sides
10/4 = 2.5

Which pay is equivilant to 16$ per hour. PLEASE ANSWER QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

If you make $16 per hour, then your yearly salary would be $31,200.

Step-by-step explanation:

Which number, when placed in the blank, makes the inequality FALSE? _____ > 8

Answers

Hi!

I can help you with joy!

Recall that the sign ">" means "greater than"

So, we need to find a number that would make the inequality false.

Is it 9? Nope, 9 is greater than 8, so 9 would make the inequality true.

So, we need to find a number less than 8.

Is it 7? Yes, 7 is less than 8, so 7 would make the inequality false.

7>8 (False)

Hope it helps!

Enjoy your day!

[tex]\bf{GracefulGirl[/tex]

Answer:

Anything under 8.

Step-by-step explanation:

Anything under 8, (7, 6, 5, 4, etc.) would make the inequality false. "Inequality" means difference in size, degree, circumstances, etc.; lack of equality. ">" means greater than, so, to make the equation false, insert something less than 8.

A city’s annual rainfall totals are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by P (z greater-than-or-equal-to 1.5) = 0.0668. If the standard deviation of the city’s yearly rainfall totals is 1.8 inches, what is the city’s mean annual rainfall?
40.5 inches
41.4 inches
45.0 inches
45.9 inches

Answers

Answer: So the answer wont be C or D because it doesn't get over 43.2 inches of water so if you do 43.2 -- 1.8 it will equal 41.4 inches

MARK ME BRAINLIEST!!!!!!!!!!!!!!!

The city's mean annual rainfall is 40.5 inches, option A is correct.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

We know that P(z ≥ 1.5) = 0.0668

From the standard normal distribution table, we can find that the z-score corresponding to a right-tailed probability of 0.0668 is approximately 1.5. Therefore, we have:

z = 1.5

We can use the formula for the z-score:

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

1.5 = (43.2 - μ) / 1.8

Solving for μ, we get:

μ = 43.2 - 1.8 × 1.5 = 40.5

Therefore, the city's mean annual rainfall is 40.5 inches.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ5

PLS HELP ME ASAP I WILL GIVE YOU 43 POINTS

The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.

Answers

Answer:

She shaded 1/8 of the fraction strip.

Enjoy ;)

one gram of sand approximately weighs 7x10^-5g.

how much grains of sand are there in 6300kg of sand?
give your answer in standard form.

Answers

Answer:

6.3 x 106 ÷ 7 x 10-5 = 0.9 x 1011 or 9 x 1010

Step-by-step explanation:

HELP ME PLEASEEE!!!! Correct answer gets a special surprise!

Answers

Answer:

EFD is your answer!

Step-by-step explanation:

EFA alone is not quite 90 but if you put DEF together you get 90 degrees just like the other sides!

Have a good day!

What number i am if i am a factor of 70 and i'm between 30 to 40

Answers

Answer:

35............. ...........~

Answer:

35

Step-by-step explanation:

Because 75 only has 8 factors and 35 is the only factor of 70 in the 30's through 40's.

If you want to know the rest they are

1,2,5,7,10,14,35 and 70.

Have a great day :}

Determine the quadrant and the coordinates of the given points.

Give the answers of Point A-J

Answers

A(-4,1)

B(1,-3)

C(0,2)

D(5,0)

F(-4,-5)

G(0,-4)

H(2,4)

Answer:

Point A

In quadrant 2 points : (-4,1)

point B

In quadrant 4Points : (1,-3)

Point C

In quadrant 1Point : (0,2)

Point D

In quadrant 1Point : (5,0)

Point F

In quadrant 3Points: (-4,-5)

Point G

In quadrant 3 Points: (0,5)

Point H

In quadrant 1Point: (2,4)

Point J

In quadrant 4points : (5,-2)

Your Welcome~  :)

(Couldn't see the Point E)

i si


what is w- z expressed in polar form?
Given wuv5c() + (.) and : ==(--(?) + ()
=(cos1 - +(cosin
o vz(cos() + i sin (4)
o v7(com () + ()
ovi (95) + ()
o r2(com () + i sin (7)
COS
i sin
ST
COS
+ i sin
77
o
+

Answers

Answer:

[tex]w-z=\sqrt{2}\biggr(cos(\frac{3\pi}{4})+isin(\frac{3\pi}{4})\biggr)[/tex]

Step-by-step explanation:

Convert from polar to rectangular

[tex]w=\sqrt{2}(cos(\frac{\pi}{4})+isin(\frac{\pi}{4}))\\\\w=\sqrt{2}(\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\w=1+i[/tex]

[tex]z=2(cos(\frac{\pi}{2})+isin(\frac{\pi}{2}))\\ \\z=2(0+i)\\\\z=2i[/tex]

Subtract the complex numbers

[tex]w-z=(1+i)-2i=1+i-2i=1-i[/tex]

Convert from rectangular (x,y) to polar (r,θ)

[tex]r=\sqrt{x^2+y^2}\\r=\sqrt{1^2+(-1)^2}\\r=\sqrt{1+1}\\r=\sqrt{2}\\\\\theta=tan^{-1}(\frac{y}{x})\\ \theta=tan^{-1}(\frac{-1}{1})\\ \theta=tan^{-1}(-1)\\\theta=\frac{3\pi}{4}\\ \\w-z=\sqrt{2}\biggr(cos(\frac{3\pi}{4})+isin(\frac{3\pi}{4})\biggr)[/tex]

Please help me answer this

Answers

Answer:

B

Step-by-step explanation:

4x - 3y = 9 → (1)

4x + y = 7 → (2)

Rearranging (1) in terms of x or y will involve using fractions, which we want to avoid if possible.

However, using equation (2) avoids introducing fractions.

In (2) subtract 4x from both sides

y = 7 - 4x → (3)

Then substitute y = 7 - 4x into (1) and proceed

Miyoko is 13 years old and her father is 53 years old. After how many years will her
father be two times as old as Miyoko?

Answers

Answer:

Miyoko is 40 years younger than her father and Miyoko's father is 40 years older than Miyoko

Step-by-step explanation:

53-13=

40

What is the ratio of a to b if 2a=4c & 6c=5b​

Answers

Answer:

6a:10b

Step-by-step explanation:

Make both C's equal eachother which we could make 12

4x3=12 and 6x2=12

so we will have to do the same for the other numbers so when 4x3=12 then 2x3=6 and then do the same for 5b where 6x2=12 and 5x2=10

this would make the ratio 6a:12c:10b which would then make the ratio 6a:10b

There are 8 boxes of pasta on a shelf. Each serving of pasta is 16 of a box.


How many servings of pasta are there in the boxes on the shelf?

Answers

Answer: 1 1/3 servings of pasta on the shelf.

Step-by-step explanation:

All you need to do is 8*1/6 because if there are 1/6 of a serving of pasta in each box and you have 8 boxes, then you need to multiply to find the number of servings.

8*1/6=1 1/3 or 1.(3)

(3) or any other number in parentheses next to a decimal means it's a repeating decimal, and it never ends.

Answer:

Its 1 1\3

Step-by-step explanation:

How many ways can four men and four women can be seat in a row such that no two men sit next to each other

Answers

There are 2 ways by which four men and four women can be seated in a row such that no two men sit next to each other.

Organization

To determine in how many ways can four men and four women can be seat in a row such that no two men sit next to each other, the following organizational chart must be made:

M - W - M - W - M - W - M - W = 1W - M - W - M - W - M - W - M = 2Any other mode of organization will assume the presence of two men sitting next to each other.

Therefore, there are 2 ways by which four men and four women can be seated in a row such that no two men sit next to each other.

Learn more about organization in https://brainly.com/question/12825206

The total score in a football game was 31 points.
The winning team scored 19 points more than the losing team.
How many points did the winning team score?

Answers

Answer:

25

Step-by-step explanation:

First we need to create an equation. We’ll say the losing team scored x points. If the winning team scored 19 more, they would have x + 19 points. We know the total is 31 points, so we end up with x + x + 19 = 31, or 2x + 19 = 31. Subtract 19 from both sides to get 2x = 12. Divide both sides by 2, and get x = 6. To find out how much the winning team scored, which we know is x + 19, put 6 in for x and get 25.

hey can someone help this is due today

Answers

Answer:

Step-by-step explanation:

rectangle

parallelogram

Quadrilateral

I need help. Only do number 20.

Answers

Answer:

2z-8y

Step-by-step explanation:

Using the slope​ formula, find the slope of the line through the points (0,0)and(4,12)

Answers

Answer:

M= 3

Step-by-step explanation:

m= 12/4 = 3

Since the other points are 0

There are 138 paperclips in the jar. Ashley adds 157 more paperclips to the jar. Estimate how many paperclips are now in the jar.

Answers

Answer:

295

Step-by-step explanation:

138+157=295

Answer:

There are 300 paperclips now in the jar.

Step-by-step explanation:

138 + 157 = 295. If you have to estimate, 5 rounds up so you estimate it up to 200.

There are 300 paperclips now in the jar.

If it does not want you to round, answer 295.

Four is equal to half of the sum of a number n and 22. What is the number n ? n = 30 n = 24 n=−14 n=−20.

Answers

Answer:

The answer is n = -14 .

Step-by-step explanation:

4 = 1/2(n + 22)

4 = 1/2n + 11

-7 = 1/2n

-7 / 1/2 = -14 = n

To check your work:

4 = 1/2(-14 + 22)

4 = 1/2(8)

4 = 4

A smartphone costs $180. Sales tax is 6%. What is the total cost, including tax?

Answers

The total cost including tax is $190.80

How tall is this table?

Answers

Answer:

Table: 105 cm

Step-by-step explanation:

"m" = mouse

"c" = cat

"t" = table

equations:

t + c - m = 120

t - c + m = 90

___________

2t = 210

t = 210/2 = 105

Hope this helps

There are 18 students on the math team of these 5 are boys give the ratio of boys to girls on the math team in simplest form

Answers

Answer:

The answer is 5/13 or 5:13

Step-by-step explanation:

There are 18 students in total. And among them there are 5 boys. You would do

18-5=13

5 boys

13 girls

Mark Brainliest Please :)

Step-by-step explanation:

First subtract the number of students(18) to the number of boys(5) 18-5=13Then you can your answer in a ratio form of boy to girls the number of 5:13

Sorry if its incorrect

Use the Associative Property to find the value of the variable.

(8 x 15) x s = 8 x (15 x 11)

Answers

Answer:

11

Step-by-step explanation:

8 times 15 is 120 then you multiple it to s which is 120s then you multiple 15 and 11 then 8 which is 1320 and then you divide 1320 with 120 then you get 11 as your answer

Answer:

11

Step-by-step explanation:

You are building a dog house and need a supporting block of wood for the roof. Your
boss went on a errand and took your measuring tape. Using the Pythagorean theorem
determine the length needed. If necessary, express your answer in its simplest radical
form.

Answers

Answer:

x = 8[tex]\sqrt{3}[/tex] in

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 22² = 26²

x² + 484 = 676 ( subtract 484 from both sides )

x² = 192 ( take square root of both sides )

x = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex] in

Last month$ Samkelo spent 39 hours watching TV and 36 hours playing sport. During the same months, Nkanyezi spent 42 hours watching TV and 36 hours playing sport. Write down the ratios of time spent watching TV to time spent playing sport of each child. (Ratios must be in their simplest form)​

Answers

Answer:

7is to 6

Step-by-step explanation:

u decide number with an common factor

What is the smallest number you can make out of 1 8 4 6

Answers

Answer: 1468

Step-by-step explanation:

smallest to biggest makes the smallest number

thousands place are worth more than hundreds etc.

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