What is the smallest two-digit integer $n$ such that switching its digits and then adding 3 results in $2n$

Answers

Answer 1

We can write

n = 10a + b

where a and b belong to {1, 2, 3, …, 9}.

Swapping the digits produces a new number

n' = 10b + a

and adding 3 to this number makes up 2n,

n' + 3 = 2n

or

(10b + a) + 3 = 2 (10a + b)

so that

19a - 8b = 3

Since we want n to be the smallest possible 2-digit number that meets the criteria, let's start with a = 1. Then solving for b, we find

19 - 8b = 3

16 = 8b

b = 2

So, the number we're looking for is n = 12.

Just to confirm, swapping the digits gives 21, and 21 + 3 = 24 = 2•12.


Related Questions

In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example. (PLS HELP ILL GIVE 100 points and brainlest also no links please, thanks)

Answers

Answer:

8

Step-by-step explanation:

You need to factorize each number in the set:

24 = 2*2*2*332 = 2*2*2*2*2

Common factors of both numbers are:

2*2*2 = 8

GCF(24, 32) = 8

List the angles of the triangle in order from least to greatest.

Answers

Answer:

3rd option

Step-by-step explanation:

The angle opposite the shortest side is the smallest

The angle opposite the longest side is the largest

Shortest side is AC with ∠ B opposite , thus smallest

Longest side is AB with ∠ C opposite, thus largest

Then order of angles from least to greatest is

∠ B , ∠ A , ∠ C

will give brainliest!

Answers

Answer 4/5 now give brainliest

A stock market fell 40 points each day for
three days. What was the total change in value
after the three days?

Answers

Answer: -120

Step-by-step explanation:

-40 X 3 = -120

solve question 5 all steps

Answers

Answer:

Answer in the pic with steps

Hope it helps

PLEASE HELP!! BRAINLIEST ASAP

(i put 4 for the last one cause thats the answer, but please, all im asking is for the correct answers for 2 blanks!!)

Answers

Answer:

12+16 = 2(10+4)

Step-by-step explanation:

12+16 = 2(10+4)

What is the slope of (-3, -2) and (-1, -5) ??

Answers

Answer:

-3/2 or -1 1/2

Step-by-step explanation:

The slope, plugging into the equation (y_2-y_1)/(x_2-x_1) would be -5 + 2 / -1 + 3, or -3/2, which can also be - 1 1/2

Answer:

-3/2

Step-by-step explanation:

slope ('m') formula:  (difference of the y-values) ÷ (difference of the x-values)

m = -2-(-5) ÷ -3-(-1)

m = 3 ÷ -2

slope = -3/2

HELPPPPPP WIL GIVE BRANELISTTTT

Answers

Answer: i think the answer is B

Step-by-step explanation:

PLEASE HELP !! Find the value of x in the triangle shown below. x=?

Answers

Answer:

x+44+29=180

x+73=180

x=180-73

x=107

Answer: x+44+29=180

x+73=180

x=180-73

x=107

Step-by-step explanation:

A piece of metal with a length of 2.83 cm was measured using four different devices. Which of the following measurements is the most accurate? O 2.812 cm O 2.837 cm O 2.805 cm 0 2.829 cm​

Answers

Answer:

2.829

Step-by-step explanation:

ita the closest to 2.83

The most accurate measure is 2.829 cm.

What is rounding off a number?

To change a number into an approximation having fewer significant digits.

Given that, A piece of metal with a length of 2.83 cm was measured using four different devices.

a) 2.812 =

Rounding off to the 10th place = 2.81 cm

b) 2.837 =

Rounding off to the 10th place = 2.84 cm

c) 2.805 =

Rounding off to the 10th place = 2.8 cm

d) 2.829 =

Rounding off to the 10th place = 2.83 cm

Hence, the correct answer is 2.829 cm

For more references on rounding off a number, click;

https://brainly.com/question/13391706

#SPJ1

Which values from the set negative 6, negative 4, negative 3, negative 1, zero, 2, satisfy this inequality?





Negative one half x, plus 3, is greater than or equal to 5.

Answers

Answer:

- 6

Step-by-step explanation:

- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )

- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by  2 to clear the fraction )

- x ≥ 4

Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

x ≤ - 4

The only value from the set which satisfies the inequality is

x = - 6

The distance between two cities is 180 km. The distance was
covered by a car at a rate of 50 km/h, by a bus at 45 km/h, by a
truck at 40 km/h, and a by a bicycle at 25 km/h. What is the constant of
variation?

Answers

Answer:

Step-by-step explanation:

he distance between two cities is 180 km.

Speed = distance/time

v = s/t from this we can calculate for time  

Time = distance /speed

This distance was covered by a car at a rate of 50 km/h

Time taken by the car to cover this distance of 180km

= 180/50 = 3.6 hours  

This distance was covered by a bus at 45 km/h

 

Time taken by the bus to cover this distance of 180km

= 180/45 = 4 hours

This distance was covered by a truck at 40 km/h

Time taken by the truck to cover this distance of 180km

= 180/40 = 4.5 hours

This distance was covered by a bicycle at 25 km/h

Time taken by the truck to cover this distance of 180km

= 180/25 = 7.2 hours

Therefore:

speed and time are directly proportional.

Speed, s is inversely proportional to time, t

xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation

Introducing constant of variation, k  

s = k/t  

When s = 25, t = 7.2

25 = k/7.2

k = 7.2× 25 = 180

So

s = 180/k

Which is greater 25% of 16 or 20% of 25

Answers

Answer:

20% of 25 is greater

Step-by-step explanation:

25% of 16 = 4

20% of 25 = 5

Answer:

20% of 25

Step-by-step explanation:

To find 25% of 16, we have to consider how much 25% is out of 100%

25/100 can be simplified to 1/4

So 1/4 of 16 (or 16/4) = 4

To find 20% of 25, we have to consider how much 20% is out of 100%

20/100 can be simplified to 1/5

So 1/5 of 25 (or 25/5) = 5

4 < 5

Therefore, 20% of 25 is greater than 25% of 16

Help figure this out quick!

Answers

The answer is:

12m + 5n is already factored. They cannot be factored any further because they are both rational numbers that do not have like terms.

when amy us doing he homework, she writes the divisor 76 as 67 by accident, and the result is a quotient of 15 and a reminder of 5. what is the correct quotient?

Answers

Answer:

  13 r 22

Step-by-step explanation:

The dividend of Amy's division problem is d such that ...

  d/67 = 15 +5/67

Multiplying by 67, we get ...

  d = 15(67) +5 = 1010

When this is divided by 76, the result is ...

  1010/76 = 13 22/76

The correct quotient is 13 remainder 22.

Find the slope for (3,0) and (4,1)

Answers

Answer:

The slope is 1

Step-by-step explanation:

the formula for finding slope is : y2-y1/x2-x1

2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1

Therefore, the slope is 1.


Helena is planning to put new tile on her kitchen floor, the
dimensions of which are given above. Find the area, in square
feet, of the kitchen floor.
A. 58
B. 31,680
C. 356
D. 276

Answers

Answer: B

Step-by-step explanation:

With two of the angles fixed on ADEF, what do you notice about the shape of ADEF when compared with ABC?​

Answers

Answer:

Step-by-step explanation:

u notice that the letters are different from each other

Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit

Answers

Answer:

It's probably B

Step-by-step explanation:

What Is the answer to the two questions? 18 points! p.s. Brainliest

Answers

Answer:

Look at other page answer is there

Step-by-step explanation:

I am on my knees begging for help i will mark brainlist please hear my cries

Part A: Which of the following pairs of coordinates would represent the missing values in the table?

options:

(3, $2560) & (4, $2048)


(3, $640) & (4, $128)


(3, $2560) & (4, $512)


(3, $640) & (4, $512)

Question 6 (4 points)
Part B: Write an equation that can be used to find the value of the piano, v, after t years

Answers

Answer:

Part A would be: 3, $2560 & 4, 2048 I am pretty sure

Step-by-step explanation:

20% of 3,200 = 640

3,200-640= 2,560

then

20% of 2,560 = 512

2,560-512 = 2,048

hope this helps! :)

Part A: The first answer is correct, or (3, $2560) & (4, $2048)

Part B: V = 5,000(0.8)^t

5000 is the original price, 0.8 shows the value going down 20%, and t shows how many years.

Hope this helps!

Please help me with the math below

Answers

Sorry a bit messy, with a ratio of 2:5:1, that means 5 would be the longest and your longest piece is 125, diving 125 by 5 gets you 25 cm, this is also your shortest piece since 1x25=25

A wheel has a radious of 50cm. How many times would the wheel go around if it rolled for 10km

Answers

First you must make sure all measurements are in the same value: You can choose either cm or km

Distance = 1,000,000 cm or 10 km

Radius = 50 cm or 0.0005 km

Distance/(2πR)

1,000,000/(2π*50)

1,000,000/314.059…….

Approx = 3183.1 Rotations

Solve the equation.

a-6=13

Answers

19 I hope this helps

Answer:

a=19

Step-by-step explanation:

In this equation you want to solve for a

In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.

a - 6 = 13  

+6       +6       (-6+6 = 0) (6+13=19)

a = 19

Line a ∥ line b. Find the value of x and y. Please show all work for credit.

Answers

Answer:

x = 12, y =

Step-by-step explanation:

a || b

5x - 7 = 3x + 17   Alternative Interior Angles

x = 12   Algebra

Angle 3x + 17 = 53   Substitution

53 + 4y + 3 = 180   Supplementary Angles

y = 31

A new ferrari costs 213,054 how much would it cost after a 35% discount?

kinda need help fast

30 points

Answers

Answer:

138485.1

Step-by-step explanation:

35% of 213,054 = 74568.9

213,054 - 74568.9 = 138485.1

I have no clue lol
I accidently put supplementary so ignore that.​

Answers

Answer:

5. Vertical

6. 133°

Step-by-step explanation:

These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.

Convert the binary number 10101 to its base 10 equivalent.

12
21
22
31

Answers

10101₂ = 1×2⁴ + 0×2³ + 1×2² + 0×2¹ + 1×2⁰

10101₂ = 16 + 0 + 4 + 0 + 1

10101₂ = 21

Here see below

[tex]\\ \sf\Rrightarrow (10101)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+4+16[/tex]

[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = 3x - 7

Step-by-step explanation:

Slope - Intercept Form :  [tex]y = mx+b[/tex]

[tex]m[/tex] = slope

[tex]b[/tex] = y - intercept

Slope =  [tex]\frac{rise}{run}[/tex]

          = [tex]\frac3{1}[/tex]

          = [tex]3[/tex]

So far:   [tex]y = 3x + b[/tex]

Plug in a point from the graph, ex. (3,2)

[tex]2 = 3(3) + b\\\\2 = 9 + b\\\\b = -7[/tex]

Equation :   [tex]y = 3x - 7[/tex]

-Chetan K


If l || m, find the value of x

Answers

Answer:

x = 27°

Step-by-step explanation:

l ║ m    Given

(x + 72) + (3x) = 180°       If parallel line then same-side angles = 180°

4x + 72° = 180°

 4x = 180° - 72°

 4x = 108°

   x = 108°/4

   x = 27°

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Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground andletting all the kite's string play out. She measures the angle of elevation from herhand to the kite to be 25. If the string from the kite to her hand is 130 feet long, howmany feet is the kite above the ground? Round your answer to the nearest tenth of afoot if necessary. 5) - 2y = -2xslope intercept form please someone help i dont have much time Any help wit this one Which line of code will allow the user to enter their current temperature to the nearest tenth of a degree?Group of answer choicesnum1 = input(""What is your temperature?"")num1 = int(input(""What is your temperature?"")num1 =float(input(""What is your temperature?""))1num = print(""What is your temperature?) NO LINKS OR I WILL REPORT!ANSWER ATTACHED QUESTIONS FOR BRAINLIEST What is characterization? Electrical bonding refunding quick check!! A team wants to understand the effects of molecular weight on boiling point. The team has access to five substances withdifferent molecular weights and the time to measure 50 boiling points. How can the team make the best use of the laboratorytesting time? (1 point)O by taking 10 measurements of each of the five liquids and using the highest value from each setO by taking 10 measurements of each of the five liquids and finding an averageO by taking measurements of the liquids one at a time, making sure that the correct results are achieved beforemoving on to another liquidO by taking one measurement of each liquid and then working to improve the least certain liquid in the group What common side does ABC share with ADC?BCADBDAC Evaluate the expression: 12-3x3-2O 12O9O 250 1 By the 1700s, what percentage of the workers were African slaves? u +7 at u=9 step by step explanation plus answer i really need to know how please please help ill mark brainliesta can someone please help with math?! Hello, can you help me? I don't speak English, I speak Spanish and I don't understand anything. I use a translator to communicate, I give brainliest !! An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Show Your Work y^ 7x^3 zx^1y^7 z^4 simplified Which angle do EBC and ADC share? Choose the point-slope form of the equation below thatepresents the line that passes through the points (-6, 4) and (2,0). (2 points)y -4= - 1/2 (x+6)y-4= 2(x+6)y+6= - 1/2(x-4)y+6= 2(x-4) please solve quickly Class Activity- Directions: In order to fully understand the power of the narrator, read the passage from Chapter Three below, then answer the questions that follow. Sometimes the work was hard; the implements had been designed for human beings and not for animals, and it was a great drawback that no animal was able to use any tool that involved standing on his hind legs. But the pigs were so clever that they could think of a way round every difficulty. As for the horses, they knew every inch of the field, and in fact understood the business of mowing and raking far better than Jones and his men had ever done. The pigs did not actually work but directed and supervised the others. With their superior knowledge it was natural that they should assume the leadership. Boxer and Clover would harness themselves to the cutter or the horse-rake (no bits or reins were needed in these days, of course) and tramp steadily round and round the field with a pig walking behind and calling out "Gee up, comrade!" or "Whoa back, comrade!" as the case might be. And every animal down to the humblest worked at turning the hay and gathering it. Even the ducks and hens toiled to and fro all day in the sun, carrying tiny wisps of hay in their beaks. In the end they finished the harvest in two days' less time than it had usually taken Jones and his men. Moreover, it was the biggest harvest that the farm had ever seen. There was no wastage whatever; the hens and ducks with their sharp eyes had gathered up the very last stalk. And not an animal on the farm had stolen so much as a mouthful. 1. Underline/highlight the words, phrases, and/or sentences that are particularly expressive of the narrators tone. What is the tone of the passage? 2. What is the effect of such a tone? How does it add to our experience of reading the story? 3. Why do you think the author has chosen to tell the story from this particular point of view? 4. How does the narrator feel about the amount of work the pigs are doing on the farm?