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

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

-10 < x - 9

Reverse the equation to get x on the left side"

x-9>-10

Add 9 to both sides:

X >-1

Answer: x > -1

what are the answers to the equation please get back to me

Answers

Answer:

A

Step-by-step explanation:

Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5

What is the measure of <1?



What is the measure of <2?

Answers

Answer:

1) 98°

2) 65°

Step-by-step explanation:

Sum of the angles in any triangle = 180°

in first triangle the third inner angle =  180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°

The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°

what is b? 0=-1/5(-1)+b

Answers

Answer:

b= -1/5

Step-by-step explanation:

Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:

1/5+b=0

b+1-1/5=0-1/5

b+0/5= 0 -1/5

b=0 -1/5

and you have b= -1/5 as your answer

f(x) = 3x + 4 + 2 g(x) = 4 Find (f + g)(x). A. (f +g)(x) = 3x +4 +6 B. (f +g)(x) = 3x + 10 c. (f +g)(x) = 3x + 6 + 4 O D. (f +g)(x) = 3x + 10​

Answers

Answer:

(f+g) (x)= -5x-4= (-3x-2)

or, -5x + 3x= -4+2

or, -2x= -2

or,x= 2/2

:. x= 1

Step-by-step explanation:

Any two figures in a plane can be proven congruent by:

A. the fact that they are the same shape.
B. the fact that all of their angles are the same measurement.
C. a series of rigid motions that takes one figure to the other.
D. having at least three corresponding parts.

Answers

Answer:

A.

Step-by-step explanation:

Definition:

GEOMETRY

(of figures) identical in form; coinciding exactly when superimposed.

What is the intersection of plane AEH and plane EGH?

Answers

Answer:

E

Step-by-step explanation:

Hope this helped

How can i find the answer to this?

Answers

Answer:

Step-by-step explanation:

by the property of corresponding angles (2x +16) and (3x-12) will be equal

working uot from the equation 3x-12 = 2x+16 we get x=28

and we know that 3x-12 and y are supplementry as they form a linear pair

from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108

Would you rather have your boss pay you 10,000 a day for 3 full weeks

Answers

Answer:

yes I would............

A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?

Answers

Answer:

y = 4x + 2

Step-by-step explanation:

The slope-intercept form:

y = mx + b, where m is the slope, b is the y-intercept

Find the slope using given points:

m = (10 - 2)/(2 - 0) = 8 / 2 = 4

The y-intercept is given with point (0, 2):

b = 2

The line is:

y = 4x + 2
(0,2)(2,10)

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]

Put in slope intercept form

[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]

Equation of the line

[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]

what term is used to refer to the reverse order of a conditional statement​

Answers

[tex] \: \: \: \: \: \: [/tex]

converse

The converse of a conditional statement is created when the hypothesis and conclusion are reversed.

hope it helps

You move left 2 units and down 1 unit. You end at (-5, -5.) Where did yo start

Answers

Answer:

(-3, -4)

Step-by-step explanation:

(-5, -5)

2 units right

(-3, -5)

1 unit up

(-3, -4)

just go backwards

Answer:

(-3, -4)

Step-by-step explanation:

The x value in (-5, -5) is -5 and y is -5. To find the original position you reverse the translations done to get to the current position. So you add 2 (because you move 2 units right to reverse) to the x value which gives us -3 and add 1 to the y value (because to reverse we move 1 unit up) which gives us the original y value of -4.

Which answer best describes the system of equations shown in the graph?



A. Consistent and dependent

B. Inconsistent

C. Not enough information

D. Consistent and independent

Thanks.

Answers

Answer:

A. Consistent and dependent

Answer:

D. Consistent and independent

Step-by-step explanation:

A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)

B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)

C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve

D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)

If you buy a stock originally valued at $2,500 then sell that stock later at $2,550 what is the percent of increase in the stock?

Answers

Answer:

2550-2500 = 5025% percent increase.

Step-by-step explanation:

Answer: 2%

Step-by-step explanation:

2500 X 1.02 = 2,550

Help help help math math

Answers

Answer:

V = 4000 ft³

Step-by-step explanation:

if diameter is 20 then radius is half that, or 10

use formula:

V = 4/3(3)(10)³

V = 4(10)³

V = 4(1000)

V = 4000 ft³

Which of the following is a radical equation?

x^/3 = 13
x+√3 = 13
^/x+3 = 13
X+3=^/13

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~

[tex] \sf \: x + \sqrt{3} = 13[/tex]

Which point is located in Quadrant III ?

(−1/2, 1/4)

(1/2, −1/4)

(−1/2, −1/4)

I will give you brainliest if you are right

Answers

Answer:

here you go :)

Quadrant lll is always both negative so the answer is (-1/2, -1/4)

Step-by-step explanation:

what is 5,272 divided by 8 give the answer step by step

Answers

Answer:  659

Step by step solution:

Answer:

659

Step-by-step explanation:

0659

8 5272

0

52

48

 47

 40

   72

   72

     0

Dividend:

5272

Divisor:

8

Quotient:

659

Remainder:

0

You may have to write this on paper because it might be hard for you to understand. I'm sorry if this isn't helping and it is very confusing, this is the only way that I could explain it. Thank you for the question and I hope you enjoy your answer :)

someone please help me! the question is 18.

Answers

3/5 is closer to 1/2

a ball bounces 124 feet off the ground. each time it bounces it bounces half of its original height. How much tell the total is 500 feet

Answers

The answer is 250,112.5,56.25,28.125,14.0625, 7.03125

A quadrilateral has two angles that measure 200 and 30°. The other two angles are in a
ratio of 6:7. What are the measures of those two angles?

Answers

Answer:

60 and 70°

Step-by-step explanation:

the angle sum of a quadrilateral is 360

200°+30°+6x+7x=360°

13x=130°

x=10°

1st angle: 10°×6=60°

2nd angle: 10°×7=70°

Kate owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 4 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 2 pairs in size 5 and 2 pairs in size 11.
For every new style, how many pairs of shoes does she need to order in total?

Answers

Answer:24

Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24

can i please have help with this question branliest for the correct answer

Answers

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

Find the difference between 1/6 and 1/2

Answers

Answer:

1/3 OR -1/3

Step-by-step explanation:

1/2 - 1/6 = ?

3/6 - 1/6 = 2/6

2/6 = 1/3

OR

1/6 -1/2 =?

1/6 - 3/6 = -2/6

-2/6 = -1/3

The points in the table lie on a line. Find the slope of the line.

Answers

5/2 or 2.5
Hope this helps!

Someone please help this is soooooo hard

Answers

Step-by-step explanation:

1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then

2. QS=10*2-7=14;

3. SR=5*2+3=13;

4. m(∠PSR)=15*2+42=72°;

5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.

You rent an apartment that costs
$
800
$800 per month during the first year, but the rent is set to go up 12.5% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

2,309.2

This could be wrong but I'm pretty sure it's right

The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?

Answers

Answer:

blue or maybe green try purple

The ratio of United States gold medals to Russia gold medals was about to 1. If the US has 46 and Russia has 24, then what is the ratio

Answers

Answer;

23:12

Step-by-step explanation:

if USA has 46medals and Russia had 24medalso 46 : 24lowest term method 2in 46 23and 24/2is 12 answer 23 : 12

The ratio between the US and Russia is 23:12

What is a ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here  US has 46 and Russia has 24 and thus the ratio is

46:24=23:12

Hence, the required ratio is 23:12

Learn more about ratios here:

https://brainly.com/question/13419413

#SPJ2

The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.

Answers

Answer : 52 boys : 26 girls

Step - by - step explanation :

Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .

26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls

52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D

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