The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is six more than three times the first number. Find the three numbers

Answers

Answer 1

Answer:

          21, 33 and 69

Step-by-step explanation:

x        - the first number

2x      - two times the first number

2x-9     - 9 less than two times the first number = the second number

3x      - three times the first number

3x+6     -  six more than three times the first number = the third number  

The sum of three numbers is 123:

x + 2x-9 + 3x+6 =123

    6x - 3 = 123

      6x = 126

        x = 21

2x-9 = 2•21-9 = 33

3x+6 = 3•21+6 = 69

Check:  21+33+69 = 123


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There are b people on a bus at the next stop 7 people get off and 10 more get on how many more people are on the bus now

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Answer:

b-7+10

Step-by-step explanation:

If there is no specific number or if there isn't anything as an equal sign then there is only that

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Endpoint: (2,5) midpoint (3,4)



Missing endpoint:​

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Answer:

(4,3)

Step-by-step explanation:

how do i find the inverse of f(x) = (6x + 3)/(x-8)

Answers

F-1(x)=3+8x/x-6 this is the inverse

Answer:   [tex]f^{-1}(x)=\dfrac{8x+3}{x-6}[/tex]

Step-by-step explanation:

To find the inverse, swap the x's and y's and solve for y.  Note that f(x) is y.

[tex]\underline{\text{Given:}}\\y=\dfrac{6x+3}{x-8}\\\\\\\underline{\text{Swap the x's and y's:}}\\x=\dfrac{6y+3}{y-8}\\\\\\\underline{\text{Solve for y:}}\\x(y-8)=6y+3\\\\xy-8x=6y+3\\\\xy-6y=8x+3\\\\y(x-6)=8x+3\\\\\large\boxed{y=\dfrac{8x+3}{x-6}}[/tex]

The table compares the shoes worn by customers in an ice cream shop and the ice cream flavor that they picked. Can ice cream flavor be represented as a function of the type of shoe? Shoe type Ice cream flavor Boots Strawberry Loafers Vanilla Sandals Chocolate High-heels Banana Flip-flops Pineapple Moccasins Chocolate Sandals Banana Loafers Vanilla Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

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the answer is no.

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No

Step-by-step explanation:

what is the slope of a line perpendicular to the line whose equation is x+y=-1

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Answer:

perpendicular is opposite and reciprocal

Step-by-step explanation:

The slope is -1 and the reciprocal/ perpendicular is 1x

Answer:

the answer is 1

Step-by-step explanation:

- A quadratic model for a certain stock on Wall Street is P=-3d2 + 50d, where d
represents the days of trading and P is the price per share.
a. What is the maximum price per share of the stock?
Help please I’m stuck

Answers

Answer:

208.333

Step-by-step explanation:

A quadratic model for a certain stock on Wall Street is given by :

[tex]P=-3d^2+50d[/tex] ...(1)

(a) We need to find the maximum price per share of the stock. For maximum value, put :

[tex]\dfrac{dP}{dd}=0[/tex]

[tex]\dfrac{d(-3d^2+50d)}{dd}=0\\\\-6d+50=0\\\\d=\dfrac{50}{6}\\\\d=8.34[/tex]

price per share of the stock is maximum when the value of d = 8.34. Put the value of d in equation (1).

[tex]P=-3(8.34)^2+50(8.34)\\\\P=208.333[/tex]

So, the maximum price per share of the stock is 208.333.

What is the equation of the line that passes through the point (-3,2) and has a slope of -3

Answers

Answer:

y=  -3x-7

Step-by-step explanation:

Matt is going to sign up for the "Fruit of the Month Club." He must pay a $25 enrollment fee, as well as $17 each month to continue his membership. He is going to stop receiving fruit once he has spent $280. Write the equation of this problem in Slope-Intercept form (hint: y=mx+b): How much as he spent on fruit after 5 months? In how many months until he has spent $280?

Answers

Answer:

He spent on fruit after 5 months is $110.

In 15 months he spent $280.

Step-by-step explanation:

Fixed pay for membership is $25

And enrollment fee is $17 for each month.

The equation represents this situation is

y= 17 x + 25

He is going to stop receiving fruits once he spent $280.

Now, to find how much he spent on fruit after 5 months is plugin x as 5 into

y=17x+25 for x

y=17(5)+25

y=85+25

y=110 dollars

Now, to find how many months until $280 is to plug in y as 280 then solve the equation for x.

280 = 17 x+25

Subtract both sides 25

255 =17 x

Divide both sides by 17

x= 15 months

#6 please help me gang

Answers

8.1 divided by 0.3 =27

Find an equation of the line passing through each of the following pairs of points (−3, 1), (0, 3)

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Answer:

y= 2/3x +3

Step-by-step explanation :

The number -2 is a solution to which of the following inequalities?

x + 7 > 5
-3 x 10

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Answer:

x -7 < -4

Step-by-step explanation:

HELPPPPPPPPP PLEASEEEEEEE

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Answer:

h=[tex]\frac{b\sqrt{3} }{2}[/tex]

Step-by-step explanation:

The answer is 1.5470

Sketch a graph to represent the situation. Label each section.
You buy two shirts. The third one is free.
all and

Answers

Answer:

for every 2 shirts, the 3rd is free

Step-by-step explanation:

d/4=9 what is d? pls help‼️

Answers

32. The top number is being divided by 4 and 32 divided by 4 is 9.

SOMEONE PLEASE HELP ME IM STRUGGLING ON THIS PROBLEM 7 I NEED HELPPP

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Answer:

B——A for top two

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The sum of two consecutive odd integers the first of which 2n+1

Answers

Answer:

4n+4

Step-by-step explanation:

If the first odd integer is 2n+1, the second must be 2n+3.

Add them and get 2n+1+2n+3 = 4n+4.

Example: if n=5 the numbers are 11 and 13 and their sum is 24

4*5 + 4 = 24.

I need help on this ​

Answers

Answer: Second company (in the table), aka #1 toys, produces at a slower rate

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

Explanation:

The equation y = 123x is in the form y = mx+b with m = 123 as the slope. The slope is the rate of change telling us how many toys per minute are produced. In this case, 123 toys per minute is the rate for the first company.

----------

We'll need the slope of the other function. So we need to pick two rows from the table and use the slope formula. I'll pick the first two rows.

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

m = (1320-600)/(11-5)

m = 720/6

m = 120

The second company produces at a rate of 120 toys per minute. This is the smaller rate, so this company produces at a slower speed.

PLEASE HELP!!!!
Will give you brainliest
and 5 stars

Answers

Answer:

f(x)=3/2 x

Step-by-step explanation:

it starts at 0 and rise 3 and goes over 2

The answer is [tex]f(x)=\frac{3}{2}x[/tex]

First, you must find 2 points.

(0,0)   (2,3)

Then, you must use the slope equation

[tex]\frac{3-0}{2-0}=\frac{3}{2}[/tex]

The line crosses the y axis at 0, so there is no y intercept

[tex]f(x)=\frac{3}{2}x[/tex]

above it says find the missing angle measurement.

Answers

Answer:

1) 53

2) 35

3) 28

4) 42

Step-by-step explanation:

Sum of angles in all triangles is 180 so add the two known angle measurements and subtract from 180.

Help please!!! Anything would be appreciated :3

Answers

Assuming it’s a regular polygon :225

Find the value of p(1) if p(x) = (2x-5)(x-1) *
(a)1
(b)4
(c)0
(d)2
Please answer it very fast. I want it now.

Answers

The answer is 0 because if you substitute x with 1 and solve the equation you get 0

Eight more than the number n is equal to 25. find the number n

Answers

N is 17

8 + n = 25

subtract 8 from both sides

n = 17

List 2 integers that have a difference of -3

Answers

Answer:

0-3

Step-by-step explanation:

From what I undersand when you subtract the two they have to equal negitive three

Step-by-step explanation:

3-6= -3-5+2= -3Hope it helps

If f(x) = 5x/3 + 5, which of the following is the inverse of f(x)?

Answers

C! I think! Not too sure

Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.

Answers

Answer:

Proved

Step-by-step explanation:

I am going to pose c as the largest side in a random triangle

If so then remember that, by the triangle inequality, a + b > c. Let's start from there...

Statement:                         |                                  Reasoning:

1. a + b > c                                                             1. Triangle Inequality

2. a + b + c > c + c (adding c on both sides),      2. Algebra + Def. Of Perimeter

   a + b + c > 2c (simplified)

   Perimeter > 2c (definition of perimeter)

   c < 1/2 * Perimeter

The prove of statement ''in any triangle the length of a side is less than the half of the perimeter'' is shown.

What is Perimeter?

The sum of all sides of a quadrilateral is called a perimeter.

Given that;

The statement is,

''In any triangle the length of a side is less than the half of the perimeter''.

Now,

Let sides of triangles are a, b and c.

The triangle inequality is;

a + b > c

Add both side by c;

a + b + c > c + c

a + b + c > 2c   .... (i)

Since, Perimeter of a triangle with sides a, b and c is;

Perimeter (P) = a + b + c

Substitute value of perimeter in equation (i), we get;

a + b + c > 2c

P > 2c

c < P/2

Thus, In any triangle the length of a side is less than the half of the perimeter.

Learn more about the perimeter visit:

https://brainly.com/question/22447290

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In golf, a golfer must have a score of 0 in order to be at par. A golfer scores 4 above par on the first hole, 3 below par on the second hole, and 1 below par on the third hole. Write an expression to solve for their score. What is the golfer's score?

Answers

Answer:

The expression to solve the golfer's score is X = A + B + C

The golfer's score is 0 (The golfer is at par)

Step-by-step explanation:

The given information are;

The score the golfer must have = 0

The score, A, the golfer has on the first hole = +4

The score. B, the golfer has on the second hole = -3

The score. C, the golfer has on the third hole = -1

Therefore, the expression to calculate the golfer's score, X, is given as follows;

The golfer's score = The score the golfer has on the first hole + The score the golfer has on the second hole + The score the golfer has on the third hole

The expression to solve the golfer's score is given as follows;

X = A + B + C

The golfer's score = 4 - 3 - 1 = 0

The golfer's score = 0.

Answer:

3

Step-by-step explanation:

The number of pages Caitlin reads over time is shown in the table below.
Caitlin's Reading Log
Hours
2 4 5
Number of Pagos 90 180 225
Part A. What is Caitlin's rate of reading?
Part B. Victoria reads at the rate of 60 pages per hour. What is the difference in the number of pages Victoria and Caitlin will read in 6 hours?
Enter the correct numbers in the boxes.
A.
pages per hour
B.
pages

Answers

part a. 45 pages/ hour
part b. the difference is 90 pages

—7y - 17 = -38 show your work​

Answers

Answer:

y = 3

Step-by-step explanation:

Given

- 7y - 17 = - 38 ( add 17 to both sides )

- 7y = - 21 ( divide both sides by - 7 )

y = 3

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

[tex]-7y - 17 = -38[/tex]

Add 17 both sides

[tex]-7y - 17 + 17= -38+17[/tex]

[tex]7y= -21[/tex]

Divide both sides by -7

[tex]\dfrac{-7y}{-7}=\dfrac{-21}{-7}[/tex]

[tex]y=3[/tex]

Please Help!!! I am in a Quiz!!!!!!!!!!!!!


A best-selling book is 2 11/16 inches thick. How many copies of the book would fit on a bookstore shelf that is 30 inches long?

Answers

6 books I think lol

Answer:

Step-by-step explanation:

1 think 12 or 13

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