Find four consecutive odd integers
such that twice the smallest
subtracted from three times the
largest is 63.​

Answers

Answer 1
Let:
x = smallest integer
x + 2 = second smallest integer
x + 4 = second largest integer
x + 6 = largest integer

Solving:
(3(x + 6)) - 2x = 63
3x + 18 - 2x = 63
x + 18 = 63
x = 45 (smallest integer)

Answer: The integers are 45, 47, 49, and 51.

Check:
(3*51) - (2*45) = 63
153 - 90 = 63
63 = 63
Are the integers consecutive and odd? Yes!

Related Questions

BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

Answers

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 , y_2)[/tex] are points. In this case, the point C has the values of [tex](x_1, y_1)[/tex], and B has the values of [tex](x_2 , y_2)[/tex]

We know that coordinates of M equal [tex](\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})[/tex]

In other words,

[tex]\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6[/tex]

Let's plug 2 for [tex]x_1[/tex] and 10 for [tex]y_1[/tex]

So:

[tex]\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6[/tex]

Multiply both sides by 2

[tex]{2 + x_2} = 12\\{10+ y_2} =12[/tex]

Subtract 2 from both sides in the first equation to find the value of [tex]x_2[/tex]:

[tex]x_2=10[/tex]

Now, for the second equation, subtract 10 from both sides to find the value of [tex]y_2[/tex]

[tex]y_2=2[/tex]

Now substitute these values for [tex](x_2, y_2)[/tex]

[tex](x_2, y_2)=(10,2)[/tex]

So the coordinates of point B are (10, 2)

Hope this helps!

Plllllllllleeeeeeeeeeeesssse help!

Answers

Answer:

3x + 2

Step-by-step explanation:

Please solve for 1,2 and 3

Answers

Answer:

1. 750/100

h=7.5 in

Show that the point (3, 7) lies on the line y = 2x + 1

Answers

Just plug in the point
x = 3 and y = 7
Y = 2(3) + 1
Y = 6 + 1
Y = 7
That’s how to prove it

Connie has 5/8 and wants to divide it by 1/4 what is her answer

Answers

Answer:

2.5 . get the Desmos calculator .

Teh answer is 2.5 I explained it up

A. Find the indicated number of geometric mean/s between the given two numbers.
1. 5 and 20 [ 1 term ]
2. 8 and 512 [2 terms]
3. 2 and 50 [ 1 term ]
4. 6 and 486 [3 terms]
5. 4 and 108 [2 terms]

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The ratio of the given terms is the common ratio raised to a power equal to the number of means plus 1.

1)

For example, the common ratio in the sequence 5, __, 20 will be r, where ...

  r^2 = 20/5 = 4   ⇒   r = 4^(1/2) = 2

Then the mean is found by multiplying 5 by this ratio: 5×2 = 10.

__

2-5)

The same method is used for finding the common ratio and then the intermediate means. Each mean is the previous term multiplied by the common ratio. Results are summarized in the attached table.

_____

Additional comment

When there are a number of similar calculations to be done, it is convenient to let a spreadsheet do them.

how do I solve this problem
2|x+7|-5=15

Answers

Answer:  x=3 or x=-17

Step-by-step explanation: go to mathpapa.com and type the question. then click step by step it is really helpful.

175% of what number is 217?

Answers

124
That’s the answer

Volume of this prism

Answers

8*9=72/2= 36*11

Answer is 396 units3

4x-y=20 find the X and Y intercepts from the equation

Answers

Answer:

its c

Step-by-step explanation:

i took it

1
What is the solution to the equation
1/x = x+3/2x^2
?
O X=-3
O x= -3 and x = 0
O x = 0 and x = 3
O x=3

Answers

Solution:

[tex] \frac{1}{x} = \frac{x + 3}{ {2x}^{2} } \\ = > \frac{2 {x}^{2} }{x} = x + 3 \\ = > 2x = x + 3 \\ = > 2x - x = 3 \\ = > x = 3[/tex]

Answer:

The answer is option d. X = 3

Expand and simplify

3(x-y)+4(x+2y)​

Answers

Answer:

3x-3y+4x+8y

The answer is: 7+5y

Step-by-step explanation:

Step-by-step explanation:

3x-3y+4x+8y

3x+4x-3y+8y

7x+5y Ans

Only like terms can be simplified

A bee colony produced 5.9 pounds of honey, but bears ate 1.5 pounds of it. How much honey remains?

Answers

Answer:

4.4

Step-by-step explanation:

hope this helps

Answer:

5.9 - 1.5

3.5 pounds of honey

find the size of deb

Answers

Answer:

[tex]4x + 3 = 6x - 53 \\ 6x - 4x = 3 + 53 \\ 2x = 56 \\ x = \frac{56}{2} = 28[/tex]

Is it possible for a number to be a rational number that is not an integer but is a whole number?

Answers

Answer:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. If a number is a whole number, for instance, it must also be an integer and a rational.

Step-by-step explanation:

swine flu is attacking the north pole. the function below determines how many elves have swine flu where t=time in days and S= the number of people in thousands.

S(t)=9t - 4. find S(4)

Answers

Answer:

S(4) = 32

Step-by-step explanation:

Work on photo !

How many songs can you play from 6:00 to 10:00

Answers

120 at most because songs are mostly 2 minutes

Answer:

Using common knowledge each song is about 2 minutes and 50 seconds, so you can listen to about 100 songs, maybe more

Step-by-step explanation:

6-10=4hrs

4 hours divided by 2:50=

4 hours= 280 Minutes, 2:50 can be rounded to 3min, 280/3=93.3333333333

In other words, you can estimate to 94.

So the answer should be around 94

If possible brainliest?

(5x-7y)-(2x+y) expression thats equivalent plzzzzzz help fast

Answers

Answer:

(3x-8y) is equivalent

Step-by-step explanation:

Answer:

[tex](5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y[/tex]

An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? painting preference and total number of students painting preference and number of students in class 1 class number and painting preference class number and number who prefer oil.

Answers

Answer:

C.) class number and painting preference








Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

the answer is C I believe  

Step-by-step explanation:

MATCH THE VOCABULARY WORD WITH THE CORRECT DEFFINITION
1. translation
2. rotation
3. transformation
4. reflection
(A) in geometry, a change in the position or shape of an object on a coordinate plane involving one or more dilations, reflections, rotations, or translations of the object
(B) a change in the orientation and position of an object on a coordinate plane in which the object is "flipped" across a line on the plane, which is usually horizontal ( y = a) or vertical ( x = b), and which results in two or more sides of the object being swapped so as to preserve the size and shape of the original object
(C) a change in the position of an object on a coordinate plane in which the object is moved horizontally or vertically to a new position in which its shape and size stays the same
D) a change in the orientation and position of an object on a coordinate plane in which the object is rotated about a point on the plane, which preserves the size and shape of the original object

Answers

Answer:

1: C

2: D

3: A

4:B

Step-by-step explanation:

What is a rule that describes the translation that maps triangle ABC onto triangle A'B'C'?
A.T< 5, 3 >(ABC)
B. T< −5, 3 >(ABC)
C. T< 5, −3 >(ABC)
D. T< −5, −3 >(ABC)

Answers

Answer:

the answer is D.

Step-by-step explanation:

I took the test and got it right!

i need help, how do you do this

Answers

Answer: So you are going to make an equation first.

Step-by-step explanation:

first we know that for the first 2 hours the snow fell at an inch an hour. so we are going to make our first plots ( I suggest using an online site like geogebra or desmos to start out with before plotting for your assingment)

our first plot is going to be at (1,1) or 1 over and 1 up. remember points are in the form of (x,y). then (2,2)

Now we see that it has changed  now there is no  new snow for 6 hours so you are going to have a flat line so its going to be (2,2) then its going to continue that way as (3,2),(4,2), (5,2) (6,2)(7,2)(8,2).

It starts snowing again and now we have a new thing to plot the snow is falling at a constant of 3 inches an hour for the next 5 hours so now we are going to plot hte points to get our points we are going add 3 inches to our current inches each new hour. so its going to be (9,(2+3)) which is (9,5) and continue on doing that so we will have the plots (10,8) (11,11) (12,14) (13,17). and now we connect our plots by creating segments so then you do that on your thing and youre set to go I hope this helps.

Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.
MInimum Balance-$100.00
Current Balance-$320.00

Answers

Answer:

100.00-20=80

320.00-20=300

Step-by-step explanation:

Which of the following is the solution to the equation 5/6 x= -1/6?

-1/5
1/5
-5
5

Answers

-1/5, multiply 6/5 on both sides to cancel the 5/6, 6/5 times -1/6 = -6/30 = -1/5

Write an equation to represent a number increase by 4 is 7.

Answers

Answer:

x + 4 = 7

Step-by-step explanation:

How many lines can be drawn through C that would be parallel to AB?

answer choices:

None

1

2

3 or more

Answers

Answer:

just 1 line cuz ab is already drawn and we have to draw one linewhich is parallel to ab.

Answer:

2 lines

Step-by-step explanation:

Please help, me I just need to know how to set it up the 2 equation on both.

Answers

snemsjsjsjjsuduwjrbebsjenwnwnwnnnnnnjjjnnjnbbjjokbbkjvgjjbnnnnkkkkkkkkkkkk

What is the equation of the line that is parallel to the
given line and
passes through the point (-3, 2)?

Answers

Answer:

4x+3Y=-6  D

Step-by-step explanation:

took the test

Help a dawg out ag i ain gettin this at all

Answers

Answer:

x ≤-2

Step-by-step explanation:

-3(x-3)≤5(1-x)

Distribute

-3x+9≤5-5x

Add 5x to each side

-3x+5x+9≤5-5x+5x

2x+9 ≤5

Subtract 9 from each side

2x+9-9 ≤5-9

2x≤-4

Divide by 2

2x/2 ≤-4/2

x ≤-2

Answer:

This one is D

Step-by-step explanation:

click on file! thank youuu!! <3​

Answers

Answer:

[tex]2(x+11y)[/tex]

Step-by-step explanation:

Rearrange:

[tex]10x-7x-x+13y+9y[/tex]

Subtract and Add:

[tex]2x+22y[/tex]

Simplify:

[tex]2(x+11y)[/tex]

Answer:

x + 11y

Step-by-step explanation:

Working in parts starting with x...

10x-7x = 3x

3x - x = 2x

Moving on to y...

13y + 9y = 22y

Put it together

2x + 22y

Simplify by dividing both by a common number ( in this case 2)

x + 11y

Other Questions
Jalen made $533.75 while working at his job. He makes $15.25 an hour, how many hours did he work to make that amount of money? determine which is the control group and which is the experimental group in the following scenario ( Scientists are testing a new kind of aspirin to see whether it will relieve headaches. They give one group of volunteers the aspirin. They give another group of volunteers pills that look like aspirin but are actually sugar pills)Answer this and you will get brainiest WITH NO VIRUS LINKS OR REPORT YOU Read the following descriptions and write the place they refer to. Include the appropriate definite article in your answers (el/la).Modelo: Hay ms de cincuenta cuartos. Muchos estudiantes viven (live) aqu, la residencia1. Hay un escritorio, una computadora, tres sillas. El profesor trabaja y recibe a sus estudiantes aqu (here).2. Hay muchas mesas y sillas. Muchos estudiantes comen (eat) aqu.3. Aqu hay mquinas de ejercicio y un circuito para correr (to run). Muchos estudiantes y profesores hacen ejercicio.4. Hay una mesa, una silla, una cama y muchos objetos personales. Un estudiante duerme (sleeps) y estudia aqu.5. Hay muchos cuartos de estudiantes y espacios comunes para relajarse y estudiar please HELP ill give brainlist and 100 points 1.name the reactants in the equation 2. name the products in the equation 3. state whether this reaction is endothermic and explain how you are able to recognize this 4. state whether this reaction is anabolic or catabolic and explain how you are able to recognize this Can somebody please help with this question Someone pls help me I will make you brain Evaluate (m^4 + 5)n^3 if m=2 and n=4 . Which statement about the solving process when an equation has no solution or infinite solutions is TRUE?The variable will always end up on the left-hand side of the equation.O Collecting the like terms will result in the elimination of the variable.Gathering the like constant terms will always result in the value 0.The constant terms will always be a multiple of 3. guy pls help me!!!!! Do any of u guys understand this? How do choices impact the narrators lives differently in ""The Road Not Taken"" and in ""Choices""? Identify the cells in interphase, prophase, metaphase, anaphase, and telophase by circling the cells. Worth 30 points! Need answer fast! Thank you, correct answer will get brainliest!Which is the coordinate of point A?(8, 6) (6, 8)(6, 8)(8, 6) Threeconsecutiveinirgers17The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is150 inches, find the dimensions. Use mental math to find the difference.1254-320 30 points please write me a 3-6 paragraph story about something cool best one will get brainliest it can be fake or real When the defense and the prosecution work together in a spirit of cooperation to get the case over with rather than fighting it out, this is known as what?The rule of fourThe formal justice systemCommunity prosecutionThe informal justice system Steve ate x pounds of candy. Jen ate 37 more than Steve. Choose the equation that represents the situation where the amount of candy Steve ate is represented by x and the amount of candy Jen ate is represented by y. on top of a monthly charge, averys cellphone company adds a fee for each text message snet. averys june bill was 50.79 which covered 104 text messages. the bill for may, which covered 83 text messages was only 46.59 answer po plss plss pls