Find three consecutive numbers whose sum equals
999.​

Answers

Answer 1

Answer:

332, 333, 334

Step-by-step explanation:

First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.


Related Questions

In a sale the price of a bike is reduced by 40% the sale price of the bike is £192 how much did the bike cost before the sale?

Answers

The original price was £320 before the 40% sale price

Write down the name of the solid.

Answers

Answer:

Cube

Step-by-step explanation:

Suppose 7x-5 M=- 3 x-8 and NE 2 2 x - 5 x - 50 X - 14 x +40 and you want to add the fractions M and N, in other words you want to compute 7x-5 3 x - 8 2 x - 5 x - 50 x - 14 x + 40 and simplify the result. We know that, before you can add the fractions, you must find a common denominator and rewrite each fraction so it has that common denominator. Once the rewritten fractions have the same denominator, you can add them and simplify the result.
There are four text boxes below. In the first text box, enter a common denominator for the two fractions. In the second text box, rewrite M so that it possesses the common denominator you found. Note that your entry in this text box should equal M, however it should have the common denominator you found. In the third text box, rewrite N so that it possesses the common denominator you found. In the last text box, compute your simplified answer for M N . Make sure that your answer is simplified; the numerator and denominator of your answer for M N should not have common factors. Note that your entry for the common denominator should be a polynomial with integer coefficients. Your other three entries should be fractions that contain polynomials. All of your answers should contain no letters other than the variables that appear in M and N. Do not include an equals sign with any of your answers. All of your expressions should be mathematically correct and not contain non-mathematical symbols. After entering your answers, click the Save Answer button. Your computer will display how your answers were interpreted, and you will have the opportunity to accept these answers or modify them.
Enter a common denominator for M and N here:
Enter M rewritten here:
Enter N rewritten here:
Enter your simplified result here:

Answers

Answer:

[tex](a)[/tex] [tex]Denominator= (x - 10)(x+5)(x-4)[/tex]

[tex](b)[/tex] [tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]

[tex](c)[/tex] [tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

[tex](d)[/tex] [tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]

Step-by-step explanation:

Given

[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]

[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]

Solving (a): A common denominator of M and N.

To do this, we simply get the LCM of both denominators

[tex]M = x^2 - 5x - 50[/tex]

[tex]N = x^2 - 14x + 40[/tex]

Factorize both:

[tex]M = (x - 10)(x + 5)[/tex]

[tex]N = (x- 10)(x - 4)[/tex]

The LCM is

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

Hence, the common denominator is:

[tex]Denominator= (x - 10)(x+5)(x-4)[/tex]

Solving (b): Rewrite M

[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]

Factor the denominator:

[tex]M = \frac{7x - 5}{(x+5)(x - 10)}[/tex]

The LCM calculated in (a) above is:

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

So, we have to multiply the numerator and denominator of M by (x - 4)

The expression becomes:

[tex]M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}[/tex]

[tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]

Solving (c): Rewrite N

[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]

Factor the denominator:

[tex]N = \frac{3x - 8}{(x-4)(x-10)}[/tex]

The LCM calculated in (a) above is:

[tex]LCM= (x - 10)(x+5)(x-4)[/tex]

So, we have to multiply the numerator and denominator of N by (x + 5)

The expression becomes:

[tex]N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}[/tex]

[tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

(d) Solve M + N

[tex]M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]

Take LCM

[tex]M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}[/tex]

Open brackets

[tex]M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}[/tex]

Collect Like Terms

[tex]M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}[/tex]

[tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]

Plss this is timed will mark brain least if shown work!

Answers

Answer:

do 62.31/3 which is 20.77 so 1 shirt cost 20.77

now do 20.77+3.66 which is 24.43

so the answer is C. $24.43

What the other guy said

P = 30x + 50y Corner that maximizes profit: (0, 6) What is the profit?

Answers

Answer:

The profit is 300.

Step-by-step explanation:

x = 0

y = 6

P = 30(0) + 50(6)

P = 0 + 300

P = 300

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

The required profit is 300.

What is profit?

Profit in Math is considered as the gain amount from any business activity.

Now the given function of profit is,

P = 30x + 50y

The Corner that maximizes profit is (0, 6)

Thus, At (0, 6) the given function is given as,

Put x = 0 and y = 6 in the given function.

P(0, 6) = 30*0 + 50*6

⇒ P(0, 6) = 0 + 300

P(0, 6) = 300

this is the required profit.

Thus, the required profit is 300.

To learn more about the profit visit:

brainly.com/question/26215194

#SPJ2

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

54

Step-by-step explanation:

you can use a proportion to solve:

6/3=x/27

3x=27x6

3x=162

x=54

Answer:

I Know you already have an answer but its 5

Step-by-step explanation:

I dont mean to steal points and you still have no answer I just figured you already have an answer so I see no wrong in doing this

Solve the simultaneous equations y=x-2 and y=3x+5

Answers

Answer:

x = -7/2........y = -11/2

Step-by-step explanation:

..….................

Forgive me if wrong

11 and 3/8 pounds of cat food were donated to the shelter

Answers

is that all there is to the sentence

If y=x+4 and y=3x+2, what must be true about x + 4 and 3x+2?

Answers

Answer:

x=1 must satisfy both equations.

Step-by-step explanation:

1)Y=X+4

2)Y=3X+2

IT Means x+4=3x+2

3x-x=4-2;

2x=2 ;  x=1 must satisfy both equations

1. Line A ang Line B are parallel lines cut by Transversals x and y. 2 = 57° and 3 = 85°, Find the measure of 5.​

Answers

Answer:

Step-by-step explanation:

∠1 = 180° - ∠2 - ∠3 = 38°

∠5 = ∠1 = 38°

For the polynomial function, describe the end behavior of its graph.
f(x) = 2x3 + 5x

Answers

falls to the left and rises to the right

A shirt costs 20$ if it was on sale for 75 percent off what is the discount

Answers

You could do x/20 =75/100 and then cross multiply
Then you would have 100x=75*20 and if you simplify all the way you would get x=15
So the discount would be $15

Hope this helps :)
if the shirt cost $20 before discount:
convert 75% to decimal- so divide by 100; you will get 0.75
then you multiply 20 and 0.75
20 x 0.75 = 15
answer: the discount is $15
(however, remember that the new shirt price would be $5)

if the shirt cost $20 after discount:
we know that 100% is the whole, and 75% is the discount, so this means that the leftover 25% = $20
so using proportions,
25/100=20/x, cross multiply & simplify you would get x = 80
to find the discount, subtract the cost from the original price and get 60
answer: the discount was $60
(however remember the original price of the shirt was $80)

1/2 of 2/2 = ???????????

Answers

Answer:

0.5

Step-by-step explanation:

Write the difference in factored form. (24x4 - 15x2 + 6x) - (10x4 + 5x2 - 4x)​

Answers

Answer:

The factored difference is: [tex]2x(7x^3 - 10x + 5)[/tex]

Step-by-step explanation:

Difference in non factored form:

To find the difference in non-factored form, we subtract the common terms. So

[tex]24x^4 - 15x^2 + 6x - (10x^4 + 5x^2 - 4x) = 24x^4 - 10x^4 - 15x^2 - 5x^2 + 6x + 4x = 14x^4 - 20x^2 + 10x[/tex]

Greatest common factor:

Of the exponents: Between [tex]x^4, x^2[/tex] and [tex]x[/tex], it is the one with the lowest exponent, so x.

Between 14, 20 and 10:

14 - 20 - 10|2

7 - 10 - 5

So 2

The gcf is 2x, which means that the factored expression is:

[tex]2x(\frac{14x^4}{2x} - \frac{20x^2}{2x} + \frac{10x}{2x}) = 2x(7x^3 - 10x + 5)[/tex]

The factored difference is: [tex]2x(7x^3 - 10x + 5)[/tex]

write the letters of the words VERY WELL on 8 cards and put them in a bag. Shuffle them well.
Do the following:

What is the probability for a v to be drawn?
What is the probability for an E to be drawn?
What is the probability for an R to be drawn?
What is the probability for a Y to be drawn?
What is the probability for a W to be drawn?
What is the probability for an L to be drawn?​

Answers

Answer:

1/8

1/4

1/8

1/8

1/8

1/4

Step-by-step explanation:

Probability a letter would be picked = total number of the letter in the bag /sum of letters in the bag

1. v,r,y,w appear once. the numerator would be 1 and the denominator would be 8 = 1/8

e and l would appear twice in the bag, so the numerator would be 2 and the denominator would be 8 = 2/8 convert to its simplest form = 1/4

Juan purchased a T-shirt for $18 plus sales tax. Sales tax is 4.5%. How much sales tax did Juan pay?

Answers

Answer:

$22.5%.....i think....not sure

Step-by-step explanation:

i've added $18 plus tax%.....not sure if its the answer

Answer: $5.63

Step-by-step explanation:

4.5% Divided By 100 To Get 0.045 Then I Multiplied That By $125 And Got 5.625 .. I Rounded It To $5.63

There were 45 runners to start a race. In the first half of the race, 2/3
of them dropped out. In the second half of the race, 4/5
of the remaining runners dropped out. How many runners finished the race?
runners?

Answers

Answer:43 8/15

Step-by-step explanation:45-2/3 is 44 1/5 then subtract 44 8/15 by 4/5 and you get 43 8/15

in a class the ratio of boys to girls is 3/2. if there are 12 boys in the class, how many girls are there? ​

Answers

Answer:

8

Step-by-step explanation:

3 times 4 is 12 and 2 times 4 is 8

8
12/3=4 so that mean you have to multiply 2x4 you get 8

Formula
=6s2


gives the surface area A of a cube with a side length s.

The surface area of a cube that has a side length of 5 inches is _______________inches squared.

*No need to label this answer.*. Please help me

Answers

Answer:

the surface area of the cube is 150 inches squared

Step-by-step explanation:

The computation of the surface area of the cube is shown below:

As we know that

The surface area of the cube is

= 6s^2

= 6(5)^2

= 150 inches squared

hence, the surface area of the cube is 150 inches squared

Many studies have investigated the question of whether people tend to think of an odd or an even number when they are asked to think of a single-digit number (0 through 9). Combining results from several studies, Kubovy and Psotka (1976) used a sample of 1,770 people, of whom 741 thought of an even number and 1,029 thought of an odd number. Would a one-sided or a two-sided alternative hypothesis be more appropriate in this case

Answers

Answer:

A two-sided alternative hypothesis would be more appropriate in this case

Step-by-step explanation:

A one-sided hypothesis is one that asserts that a given parameter is either smaller than the null hypothesis value or larger than the value presented by the null hypothesis.

However in a two sided hypothesis, the claim is made that a given parameter is not equal to the parameter given in the null hypothesis, such that the parameter can be either larger than than or lesser than the value of the null hypothesis and still satisfy the condition of the hypothesis

Therefore, given for that for there to be a conclusion, the test should be weather the number of people that think of an odd number are equal to the number of people that think of an even number, or weather the number of people that think of an odd number are not equal to the number of people that think of an even number

Therefore, a two-sided hypothesis should be used since the claim (that the numbers are not equal) is not equal to the value of the parameter in the null hypothesis (that the numbers are equal)

27. The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 240m, find the area of
the rectangle​

Answers

Answer:

[tex]Area = 3500[/tex]

Step-by-step explanation:

Given

[tex]Length : Breadth = 7 : 5[/tex]

[tex]Perimeter = 240m\\[/tex]

Required

Determine the area

The perimeter is:

[tex]Perimeter = 2(Length + Breadth)[/tex]

This is then represented as:

[tex]240 = 2(7x + 5x)[/tex]

[tex]240 = 2 * 12x[/tex]

[tex]240 = 24x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

So, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = 7x * 5x[/tex]

[tex]Area = 7*10 * 5*10[/tex]

[tex]Area = 3500[/tex]

I need help with this question please

Answers

Answer:

C.

Step-by-step explanation:

Given

[tex]A =(x_1,y_1)[/tex]

[tex]B =(x_2,y_2)[/tex]

[tex]C =(x_3,y_3)[/tex]

[tex]D =(x_4,y_4)[/tex]

Required:

Which condition proves that AB is perpendicular to CD

First, calculate the slopes of both.

For AB

[tex]m_1 = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

For CD

[tex]m_2 = \frac{y_4 -y_3}{x_4 - x_2}[/tex]

The condition of perpendicularity is:

[tex]m_1 * m_2 = -1[/tex]

Substitute values for m1 and m2

[tex]\frac{y_2 -y_1}{x_2 - x_1} * \frac{y_4 -y_3}{x_4 - x_2} = -1[/tex]

Option (c) is correct

PLEASE HELP!! Eliminate the parameter in the equations y = t + 2 and x =t^1/2.How can the rectangular equation be described?

Answers

Answer:

Quadratic (I took the test)

Step-by-step explanation:

y=t+2 equals y-2=t

put t in for x=t^1/2. this is x=(y-2)^1/2, which equals x^2=y-2.

add 2 to both sides, which is y=x^2+2 . This is an example of a quadratic equation (you kinda just need to know the format of different types of equations for the last part. It isn't cubic because it has a number added to it, isn't linear because the x is squared, and tbh I have no clue what quartic is.)

This is an example of a quadratic equation.

We have given that the equation

y=t+2 equals y-2=t

What is the quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a,b are and c represents the constant.

put t in for x=t^1/2. this is x=(y-2)^1/2,

Squaring both sides we get,

x^2=y-2.

add 2 to both sides, which is y=x^2+2.

This is an example of a quadratic equation.

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333

#SPJ2

Please help test due in 1 hour and it’s a grade! Will give good review and brainliest!

Answers

6 inches is the answer for ur question

Share £747 in the ratio 2:7 between Tom and ben
Tom will get
Dan will get​

Answers

2+7x=747 X83                 83(2)=83             83(7)= 581

Step-by-step explanation:

I don’t know the answer

Answers

Ngl bro I can barely see the question

Compare and contrast how to graph: x = 5 and y = 3.

Answers

x=3+y x=5+y i think sorry if it is wrong

n
What is the y-intercept of the equation 4x + 5y = 20?
0 (0.4)
0 (0.5)
0 (4.0)
(5.0)
M

Answers

Answer: (0,4)

Step-by-step explanation:

Find the area of the shape shown below.​

Answers

Answer: 256

Step-by-step explanation:

Answer:

256cm² is the correct answer

hehe pls help i nneed it

Answers

Answer:

x = 32

Step-by-step explanation:

180 - 42 - 106 = x

x = 32

The answer is X=32 have a great day
Other Questions
How many calories do I need to gain muscle i am 75 pounds and 4 foot 5 When a number is decreased by 7.5%, the result is 61. What is the original number to the nearest tenth? which property is a property of water Brian has a job. The first place he should look for health care coverage is because the costs will probably be the for the generous terms and coverage. Darnell does not have a job. He is a member of the alumni association of his alma mater. Darnell will probably find better coverage for a lower cost through plans offered by because plans spread the costs and risks among more people than plans do. To begin their research, Brian and Darnell should look at in order to . Judy will use 2 1/2 cups of flour for each cake she bakes judy has 10 cups of flour what is the maximum number of cakes judy can bake Jayden and Carson are selling T-shirts and sweatshirts with the school logo. Jayden sells 9T-shirts and 3 sweatshirts for $288. Carson sells 1 T-shirt and6 sweatshirts for $270. Find the selling prices of each item,1. Write a system of equations to represent the situation.2. Solve the system of equations.Part AUse elimination or substitution to solve. Show your work.Part BWhich method of solving did you choose? Explain your reasoning, Rewrite the phrase using the possessive apostrophe: the book of John last one its worth 10Points losers select all of the expressions that are equivalent to 4(5) + 3 (5). Whats the correct answer? What is the value of x in the equation 5x 2(x + 1) = 10? Can Someone plz give me a thorough explanation the value of the expression x - 2 ( x + 5 ) when x = 10. A canoe moving down the river with a kinetic energy of 5J and a speed of 0.5m/s. Whats the mass of the canoe use adjacent angles to solve for X i need to find out what x equals Solve x-3 = 8x = geometry, I need help thanks A) Identify and describe TWO technological innovations that would be consideredadvances in European society a) Expand and simplify.3(x - 2) - 4(x - 5)7 Construct a quadrilateral ABCD , Where PL- 6cm , AY- 6.5cm , LL- 70, LA- 95 You want to buy a shirt that is originally $32.95. It is on sale for 20% off! What is the shirt's SALE price?