The sum of three numbers is 66. The second number is twice the first and six less than the third. find the numbers

Answers

Answer 1

Step-by-step explanation:

let the 1st number be x

and,

2nd number = 2x

3rd number = 2x + 6

their sum = 66

so, after inserting the values we got

x + 2x + 2x + 6 = 66

5x + 6 = 66

5x = 66 - 6 = 60

x = 60/5 = 12

x = 12

therefore,

1st number = x = 12

2nd number = 2x = 12 × 2 = 24

3rd number = 2x + 6 = 24 + 6 = 30

hope this answer helps you dear...take care and may u have a great day ahead!


Related Questions


What is the inverse

Answers

Answer:this is the answer

Answer:

[tex]f^{-1}(x)=3x-6[/tex]

Step-by-step explanation:

Let's replace [tex]f(x)[/tex] with [tex]x[/tex] and replace [tex]x[/tex] with [tex]f^{-1}(x)[/tex] ad solve.

[tex]x=1/3*f^{-1}(x)+2[/tex]

[tex]x-2=1/3*f^{-1}(x)[/tex]

[tex]f^{-1}(x)=3(x-2)[/tex].

[tex]\boxed{f^{-1}(x)=3x-6}[/tex]

Multiply the following and provide the product in standard from thank you

Answers

Answer:

x^3 + 4x^2 - 7x - 10

Step-by-step explanation:

To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.

What is 7^5 equal to

Answers

The answer to 7^5 = 16807

helppp
what is the slope?

Answers

Answer:

2/3

Step-by-step explanation:

Find a two coordinates on the line such as (20,40) and (50,60)

plug it into the slope formula m= y2 - y1 / x2- x1

it doesn't matter what way you plug them in

m = slope

m = 60-40 / 50 - 20 = 20/30 = 2/3

The slope is 2/3 I simplified 20/30 by dividing by 10

hope this helped

What would be the most common example of a curve with constant widith

Answers

Answer:

a circle

Step-by-step explanation:

yeah-ya... right?

hhhhhhhhhhheeeeeeeeelllllllllllllppppppppp

Answers

Answer:

Your answer is C. Angle a is congruent to both angles 3 and 1.

Step-by-step explanation:

Are expressions equivalent to 3(62)?

Answers

Answer:

186

Step-by-step explanation:

which angles are alternate ​

Answers

Answer:

POL  and KLO

Step-by-step explanation:

Alternate interior angles are between the parallel lines and on opposite sides of the transversal

NOL and MLO

POL  and KLO

Answer:

KLO and POL

Step-by-step explanation:

Please help! I need the answer asap :(

Answers

Answers: 1 and -1

Explanation:
Any number raised to the power of zero is 1. In the second problem, the outside negative sign makes the 1 negative.

Answer:

[tex]1 and -1[/tex]

Step-by-step explanation:

What is 35% of the number 40?

Answers

Answer:

14

Step-by-step explanation:

convert 35% to a decimal by moving the decimal to the left two places

.35

.35 × 40 = 14

Answer:

87 percent

Step-by-step explanation:

You just simply divide percent you got (35) by the full amount you could get (40)

35 ÷ 40

Find the cosine of ZX.

Answers

Answer:

[tex] \cos(x) = \frac{ 65}{ \sqrt{ {65}^{2} + {72}^{2} } } = \frac{65}{97} [/tex]

The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5). What are the coordinates of point K?

Answers

The required coordinate of the point K is (13, 8).

Given that,
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5), the coordinates of point K is to be determined.

What is coordinate?

Coordinate, is represented as the values on x-axis and y-axis of the graph.

here,
The coordinate of the midpoint (x, y) is given as,
x = (x₁ + x₂)/2     ; y = (y₁ + y₂)/2
Substitute the value in the above equation,
3 = (-7 + x₂)/2     ; 5 = (2 + y₂)/2
x₂ = 13                ; y₂ = 8

Thus, the required coordinate of point K is (13, 8).

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write a quadratic equation in standard form with the roots of 3 and -5​

Answers

Answer:

y=x^2+2x-15

Step-by-step explanation:

x=-3 or x=5

(x-3)(x+5)

x^2+5x-3x-15

x^2+2x-15

Could someone please help me with this triangle proof?
It's a level 3 proof on Delta Math.

Answers

Answer:

DA?

Step-by-step explanation:

I'm not the brightest I'm sorry but i think it might be D A something..

Proved that the [tex]$$ \angle C A B \cong \angle D B A \text $$[/tex]

What are similar triangle ?

Similar triangles have the same form but differ in size. Similar items include all equilateral triangles and squares of any side length. In other words, if two triangles are comparable, their corresponding angles and sides are in proportion.

What is Basic Proportionality Theorem

The intercept theorem, also known as Thales' theorem, fundamental proportionality theorem, or side splitter theorem, is a basic geometry theorem that describes the ratios of various line segments formed when two intersecting lines are intercepted by a pair of parallels.

Learn more about the basic proportionality theorem at

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What are the solutions to x^2-2x+5=0

Answers

Answer:

x = 1 ± 2i

Step-by-step explanation:

x² - 2x + 5 = 0 ( add 5 to both sides )

x² - 2x = - 5

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 5 + 1

(x - 1)² = - 4 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( add 1 to both sides )

x = 1 ± 2i ( that is the solutions are complex )

Answer:

[tex]x=1\pm2i[/tex]

or

[tex]x=1+2i[/tex]

[tex]x=1-2i[/tex]

Step-by-step explanation:

All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Quadratic formula gives two solutions, one when ± is addition add one when it is subtraction.

[tex]x^2-2x+5=0[/tex]

Equation is in standard form: [tex]ax^2+bx+c=0[/tex]

Substitute 1 from a, [tex]-2[/tex] for b, and [tex]5[/tex] for C in the quadratic formula, [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\times \:1\times \:5}}{2}[/tex]

Multiply -4 × 5:

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:5}}{2}[/tex]

Add 4 + -20:

[tex]x=\frac{-\left(-2\right)\pm \:4i}{2}[/tex]

* the opposite of -2 is 2:

[tex]x=\frac{2\pm 4i}{2}[/tex]

Now, solve equation:

[tex]x=\frac{2+4i}{2}[/tex]

Divide 2 + 4i by 2:

[tex]x=1-2i[/tex]

_____________________________

The library charges a fine
each day that a book is
late. If Moriah recently paid
a $7.15 fine for a book that
was 13 days late, what is
the daily fine?

Answers

.55 when rounded up but this is the actual answer: 0.548461538461538

Choose the fraction that is equal to:
0.8 repeating A)8/9 B)6/7 C)8/10 D)2/25

Answers

Answer:

A) 8/9

Step-by-step explanation:

8 divided by 9 is 0.88888888888888888888889 on a calculator

The fraction that is equal to 8/9. Then the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

⇒ 0.8888...

Convert the decimal number into a fraction number, then we have

Let x = 0.8888..., then

10x = 8.888....

10x - x = 8.8888.... - 0.8888...

9x = 8

x = 8/9

The fraction that is equal to 8/9. Then the correct option is A.

More about the Algebra link is given below.

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Which of the following equations is the translation 2 units down of the graph of y = |x|?
y= lx - 2|
y= |x + 2|
y=|x| - 2
y=|x| + 2

Answers

Answer is: y = | x | - 2

Help plz !!! Which equation shows that the product of a square matrix A and its identity matrix / is A?

Answers

Answer:

Option D portrays that

Matrix A multiplied by an identity matrix equals Matrix A

how to solve 1.2x+1.4y=2.7 and 0.4x-0.3y=0.9 in substitution

Answers

Answer:

x=0.8712, y=1.1818

Step-by-step explanation:

1.2x+1.4y=2.7 --(1)

0.4x-0.3y=0.9--(2)

1.2x=2.7-1.4y

x=(2.7-1.4y) / 1.2 --(3)

substitute (3) in (2)

[tex]0.4(2.7-1.4y) / 1.2 -0.3y=0.9[/tex]

[tex](1.8 - 0.56y) \frac{1}{3} - 0.3y = 0.9[/tex]

times both sides with 1/3

[tex] \frac{1}{3} (1.08 - 0.56y( \frac{1}{3} ) - 0.3y = 0.9)[/tex]

1.08-0.3=0.56y+0.1y

0.78=0.66y

y=1.1818

substitute y in (3)

x=2.7-1.4(1.1818) /1.2

x=0.8712

Which pair of numbers have a greatest common factor of 5?

Select each correct answer.

15 and 25
30 and 15
20 and 30
10 and 5

Answers

Answer:

15 and 25

10 and 5

Step-by-step explanation:

What is the slope of the line in the graph? PLZ HELP ​

Answers

Answer:-3/4

Step-by-step explanation: Raises 3 units, goes to the left 4 units.

Answer:

-3/4

Step-by-step explanation:

Slope is rise over run. The line is negative as the line is falling, not rising. From one point to the next it falls 3, or rises -3. It runs 4, therefore the rise/run, or slope is -3/4.

-5s-5x+5 s 50
solve this

Answers

-5s-5x+5s+50     Combine like terms

5x+50

Answer:

[tex]{ \tt{ - 5s - 5x + 5s = 50}} \\ \\ { \tt{ - 5x = 50}} \\ \\ _\hookrightarrow \: ^{ \rm{answer}} \\ { \tt{x = - 10}}[/tex]

Mike wanted to purchase a bike for $285.00 and
realized the bike was on sale for 30% off. How much
would Mike pay for the bike, before taxes, once the
discount was applied?
A. $85.50
B. $199.50
C. $315.00
D. $370.50

please give me the right answer and i’ll mark you brainiest or whatever. <3 :,)

Answers

Answer: B. $199.50

Step-by-step explanation:

285 x 0.7 = 199.5

Answer is B. $199.50

Which is the equation of the line that passes through the points (4.3) and (2. 6)? Like how I do this because I had infinite answers that was wrong one may be right

Answers

Answer: C

Step-by-step explanation: You have to graph the 2 points and plug in each answer until the slope passes through

Find the 70th term of the arithmetic sequence 29, 17, 5, ...29,17,5,...


Answers

hijab day of doing a great day of doing a little bit more about the way for me the ch-2 ex is a very good time to be able to get the day of doing a great day when mother speaks it happens to be a good time to be a good time to be a good day please anyone who is in the day and in the way for me the way

Please I need an explanation and steps as soon as possible

Answers

Answer:

(I've never done this before and I highly doubt I'm doing this right so forgive me for any wrong answer which might as well be all of them)

1. 5

2. 3

3. 2

4. 9

5. 4

6. 2

7. 8

8. 2

9. 11

help me pls help me pls

Answers

Answer: what is this?

angle 1 and angle 2 form a linear pair. if m angle 1= x + 47, and m angle 2 = x-12 find the measure of angle 1

Answers

Answer:

215/2

Step-by-step explanation:

A linear pair means that the angles equal 180 degrees.

If added together 1 and 2 equal to 180 degrees, then the equation should be x+47+x-12=180. Then solve and simplify.

x+47+x-12=180

2x-35=180

2x=215

x=215/2

PLEASE HURRY ITS DUE IN 20 MINUTES, I’ll GIVE EXTRA EXTRA POINTS

Some people advice that in very cold weather you should keep the gas tank in your car more than half full Irenes car head 6.5 gallons in a 16 gallon tank on the coldest day of the year Irene Field tank with gas that cost $3.80 per gallon how much did Irenes spend on gas

Answers

26.60  if not

so sorry im also very small brain like u

           

           

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