If the sum of three consecutive numbers is 1998, what is the first one?

Answers

Answer 1

Answer: 665

Step-by-step explanation: X + X + 1 + X + 2 = 1998

3X + 3 = 1998

3X + 3 - 3 = 1998 - 3

3X = 1995

3X/3 = 1995/3

X = 665


Related Questions

Think about the proportion and the cross products for this problem:

Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.

Answers

Answer:

The ratios are equivalent

The ratios are a proportion

I will give you branilest!

What does the constant of proportionality represent?

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities

Step-by-step explanation:

Two quantities are directly proportional when they increase and decrease at the same rate.

Answer:The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.

Step-by-step explanation:

Jose is riding his bicycle. He rides at a speed of 12 kilometers per hour fore 38.4 kilometers. For how many hours does he rides

Answers

Answer:

3.2 hours

Step-by-step explanation:

The area of a square sports arena is 10,000 m² what are the dimensions of the sports arena on the map.

Answers

Answer:

Step-by-step explanation:10,000square you have to multiply them my all squares to get the answer

8 Determine if the product of 32 and 8V 18 is
rational or irrational. Explain your answer.

Answers

Answer:  It is irrational.

Step-by-step explanation:

√18 is an irational number. Multiplying most rational numbers by an irrational number results in an irrational number.

have a random argument with yourselves

Answers

BRO WHY DO YOU GOTTA BRING ME INTO THIS

Answer:

ok

Step-by-step explanation:

Please help what is -0.5 divided by -1/5

Answers

-0.5 divided by -1/5 is 0.1

Identify the independent and dependent variables: The cost to gift wrap an order is $ 3 plus $1 per item wrapped

Answers

Answer: Indep. is: $3 and the dependent is $1

Step-by-step explanation:

Every item is $3, but if you add more then you also add $1

If he drank 80% of his water on his entire hike, how much did he drink?

Answers

Not enough information is given to answer this question. If there was 100% water at the beginning of the hike and now there is 80% it would be 20% but without the information, you cant know.

The purpose of this warm-up is to elicit the idea that tape diagrams can be used to think about fractions of a whole as percentages of the whole, which will be useful when students interpret and draw tape diagrams in a later activity. While students may notice and wonder many things about these images, the important discussion points are that there are two rectangles of the same length, one of the rectangles is divided into four pieces of equal length, and a percentage is indicated. 80 percent of what number is 100?
100 is 80% of 125

Steps to solve "100 is 80 percent of what number?"

We have, 80% × x = 100
or,
80
100
× x = 100
Multiplying both sides by 100 and dividing both sides by 80,
we have x = 100 ×
100
80
x = 125
If you are using a calculator, simply enter 100×100÷80, which will give you the answer.

Given the linear function 2x - y= 5 what is the slope? And As x increase does y increase or decrease and as x decreases does y increase or decrease

Answers

Answer:

The slope is 2. As x increase y is increase and as x decrease y decrease

How do you do this question?

Answers

Exact value:  [tex]c = \frac{-11+\sqrt{165}}{22}[/tex]

Approximate value:    c = 0.08387

Round the approximate value however you need to

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

Work Shown:

Let x = 1+c

[tex]\displaystyle S = \sum_{n=2}^{\infty}(1+c)^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}x^{-n}\\\\\\\displaystyle S = \sum_{n=2}^{\infty}\frac{1}{x^n}\\\\\\\displaystyle S = \frac{1}{x^2}+\frac{1}{x^3}+\frac{1}{x^4}\ldots\\\\\\[/tex]

We have an infinite geometric series here. The first term is a = 1/(x^2). The common ratio is r = 1/x.

Each new term is found by multiplying the previous term by 1/x.

Assuming -1 < r < 1 is true, the infinite geometric sum is

[tex]S = \frac{a}{1-r}\\\\\\S = \frac{1/x^2}{1-1/x}\\\\\\S = \frac{1/x^2}{x/x-1/x}\\\\\\S = \frac{1/x^2}{(x-1)/x}\\\\\\S = \frac{1}{x^2}\div\frac{x-1}{x}\\\\\\S = \frac{1}{x^2}*\frac{x}{x-1}\\\\\\S = \frac{1}{x^2-x}\\\\\\[/tex]

Plug in S = 11 and solve for x

[tex]S = \frac{1}{x^2-x}\\\\11 = \frac{1}{x^2-x}\\\\11(x^2-x) = 1\\\\11x^2-11x = 1\\\\11x^2-11x-1 = 0\\\\[/tex]

Use the quadratic formula to find the two solutions

[tex]x = \frac{11+\sqrt{165}}{22} \approx 1.08387\\\\x = \frac{11-\sqrt{165}}{22} \approx -0.08387\\\\[/tex]

Using these x values, we find that the corresponding r values are

r = 1/x = 1/(1.08387) = 0.92262

r = 1/x = 1/(-0.08387) = -11.92321

The first r value makes -1 < r < 1 true, but the second r value does not. So we will be ignoring the solution x = -0.08387

----------------------------------------------

Using the solution that corresponds to x = 1.08387, we find the value of c is

[tex]x = c+1\\\\c = x-1\\\\c = \frac{11+\sqrt{165}}{22}-1\\\\c = \frac{11+\sqrt{165}}{22}-\frac{22}{22}\\\\c = \frac{11+\sqrt{165}-22}{22}\\\\c = \frac{-11+\sqrt{165}}{22}\\\\c \approx 0.08387\\\\[/tex]

11. Mark builds 3 Lego towers. Each tower is made of 5 square layers
which have a width and length of 5 Lego pieces. Suddenly, Mark's little
brother breaks one and runs off with 45 pieces. Use the expression to show
how many pieces Mark is left with.

Answers

Answer:                        

Step-by-step explanation:

Is 2|12 true or false

Answers

Answer:

true

Step-by-step explanation:

Because it is

find the value of x.
(6x+8)
(7x-7)

Answers

Answer:

ITS 95

Step-by-step explanation:

TRY CALCULATING IT

sorry i don't know

sbhwgwvhwhev

(Graph attached)
Please show work
What is the average speed of the runner at 4 seconds

Answers

40mps is the answer

If the odds for a certain event are 5 to 12, what is the probability of the event occuring? Write your answer
as a simplified fraction.

Answers

Answer:

5/12

Step-by-step explanation:

Isn't this just a ratio?

Carlos cut Start Fraction 5 Over 12 End Fraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?

Start Fraction 1 Over 60 End Fraction of a yard
Start Fraction 1 Over 25 End Fraction of a yard
Start Fraction 1 Over 12 End Fraction of a yard
One-fifth of a yard

Answers

Answer:

C.1/12

Step-by-step explanation:

Divide 5/12 by 5 since he cut it into 5 equal pieces


Find the equation of a line that passes through the points (1, 2) and (5,8).

1: y= 3/2 + 1/2
2: y= 3/2 + 1
3: y= 3/2 + 2

Answers

Answer:

1: y = 3/2 + 1/2

Step-by-step explanation:

y1 -y2/x1 - x2

8-2 / 5-1

6/4 = 3/2

y-2=3/2(x-1)

y-2=3/2x - 3/2

y-2 +2= 3/2x - 3/2 +2

y=3/2x + 1/2

A couch and coffee table cost a total of $1156. The cost of the couch is three times the cost of the coffee table find the cost of each item.

Answers

The coffee table is 289 and the couch is 867.

If you need to show work

To get the answer of coffee table , 1156 gets divided 4. And then for the couch, the coffee table gets multiplied by 3.

Answer:

The couch is 867 and the coffee table is 289

Step-by-step explanation:

The question states that the couch is 3 times the cost of the coffee table. This means this includes the cost of the couch and the coffee table. So I would do 1156= x+3x, which equals 1156=4x. X is the cost of the coffee table. 3x is the cost of the couch. I'd divide 1156 by 4 and get 289. Now you take 289 and plug it in the equation, 1156=x+3x. X would equal to 289, and 3x would equal to 867.

Kia Read for a total of 60 minutes on Monday and Tuesday. He read for 60 minutes on Tuesday. How many minutes did he read on Monday?

Answers

kia read 0 minutes
60 - 60 = 0

A well is 20ft deep. A snail at the bottom of the well climbs upto 4ft each day and slips back 2ft every night.how many days the snail to reach the too

Answers

Answer:

10 days

Step-by-step explanation:

4ft-2ft= so the snail moves 2ft every 24hrs

20ft÷2ft= takes the snail 10 days

Answer:

Defining Variables:

Let the number of days the snail takes to climb = x days

Total distance climbed in x days = x*4

Total distance slipped in x days = 2*x

Solving for the number of days:

Since the total distance the snail climbs is 20ft (depth of well)

The total distance climbed - total distance slipped = 20

replacing the variables

4x - 2x = 20

2x = 20

x = 10

Therefore, it will take the snail 10 days to reach the top

Find a and b: (10-4i)-(a+bi)=(6-6i)

Answers

Answer:

look at attached image, hope this helps! :)

A hotel manager is buying wallpaper for the rooms in his
hotel. Each roll of wallpaper costs $48. If he spent $5,568,
how many rolls of wallpaper did the hotel manager buy?
1,017
106
1,016
116

Answers

the manger purchased 116 rolls of wallpaper. (5,568/48)
The answer to that would be 116 because you have to divide

The houses on a city block were thought to be valued at $175,000, $163,000,
$142,000, $135,000, $191,000, $122,000, and $147,000, respectively. But a
public assessor has determined that the value of each house is actually
$20,000 higher than previously thought. According to the public assessor,
what is the median value of the houses?
O A. $162,000
O B. $167,000
O c. $155,000
O D. $147,000
SUBMIT

Answers

Answer:

$167,000

Step-by-step explanation:

THAT'S THE ANSWER.COM

The median value of the houses is $167,000.

MedianWhat is median value?

The middle number in a collection of numbers is known as the median.

How median is calculated?Check to see if 'n' is an even number of values.Find the two numbers that are in the centre of the table of data. Adding the two middle numbers together and dividing the result by two will yield the average of the two numbers.The median is the outcome of this average.Calculation for the median of the houses:

The initial value of the 7 houses were,

$175,000, $163,000, $142,000, $135,000, $191,000, $122,000, and $147,000.

As, the value of each house were increased by $20,000.

The value of houses after increment,

$195,000, $183,000, $162,000, $155,000, $211,000, $142,000, and $167,000.

Arrange the values in the increasing order.

$142,000, $155,000, $162,000$, 167,000, $183,000, $195,000, $211,000.

Since, the given data has 7 values which is a odd number. So,  values come in the middle is $167,000.

Therefore, the median value of the houses is $167,000.

To know more about how to find average?, here

https://brainly.com/question/130657

#SPJ2

(3.1 · 10² ) (2 · 10³) Write in Scientific Notation.

Answers

Covert into scientific notation?

Answer:6.03*10^3

Step-by-step explanation:

(3.1 *10^2)(2*10^3)

2*10^3=20*10^2

(3.1*10^2)(20*10^2)

(60.3*10^2)=

6.03*10^3

Find the value of x
(4x-20)°​

Answers

Answer:

Bro this has no solution

Answer: 4(x−5)

Step-by-step explanation: I think this is right. If it’s not Im sorry. But if it is hope this helps!

Simplify the expressions by distributing and combining like terms 5/8x-2(7-1/4x)

Answers

9x/18 = 14 I’m not sure if I’m right but I think it’s that

Give brainliest answer

Answers

Answer:

6

Step-by-step explanation:

if a triangle is reflected, its area stays the same. the height is 3, and the base is 4. the formula for the area of a triangle is 1/2 (b)(h), so that is 1/2 (3)(4) which equals 6 square units.

FIRST ANSWER GETS BRAINLIEST!!!
Describe how to model -3x + 7 = 28 with algebra tiles.

Answers

Answer:

-7

Step-by-step explanation:

-3x+7=28

     -7=28

           -7

-3x/21

x=-7

-7 is correct!!!!!!!!

5.) You are working for a car dealership. You are doing an inventory of the lot. You counted 34
trucks. 15 cars, and 8 SUVs. What is the ratio of SUVs to total vehicles on the lot?

Answers

8:49 should be the answer

Answer: 8 SUVs to 57 total

Step-by-step explanation: You add 34 + 15 + 8 which gives you 57 Then you see there are 8 SUVs. So the answer is 8 to 57.

Sorry. I kinda got ahead of myself and excited. Guess mistakes happen. I was right the first time. I'm just so tired right now

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