The sum of the digits of a two digit number is eight the digits are reversed the number increases by 18 find the original number

Answers

Answer 1

Answer:

The two digit number is 35.

Step-by-step explanation:

Let xy be the two digit number

According to given statement

[tex]x+y = 8\ \ \ \ Eqn\ 1[/tex]

The place value of xy is 10x+y

Reversing the number will be: 10y+x

It is also mentioned that the new number is previous number increase by 18

So,

[tex]10y+x = 10x+y+18\\10y-y+x-10x = 18\\9y-9x = 18\\9(y-x) = 18\\\frac{9(y-x)}{9} = \frac{18}{9}\\y-x = 2\ \ \ Eqn\ 2[/tex]

From equation 2

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

Putting in equation 1

[tex]x+y = 8\\x+2+x = 8\\2x+2 = 8\\2x = 8-2\\2x = 6\\\frac{2x}{2} = \frac{6}{2}\\x = 3[/tex]

Putting x = 3 in equation 1

[tex]3+y = 8\\y = 8-3 = 5[/tex]

xy = 35

Hence,

The two digit number is 35.


Related Questions

help
me
do
this
im
about
to
fail

Answers

Answer:

4.89 the rounding of it is 5.00,

Area=(22 over 7) x5^2

=78.57cm^2

Hope that helps

Writing proportional equations Problem The Green Goober, a wildly unpopular superhero, mixes 333 liters of yellow paint with 555 liters of blue paint to make 888 liters of special green paint for his costume. Write an equation that relates yyy, the amount of yellow paint in liters, and bbb, the amount of blue paint in liters, needed to make the Green Goober's special green paint.

Answers

Answer:

The equation that relates the amount of yellow paint, y, and the amount of blue paint,b, in liters [tex]5y-3b=0[/tex].

Step-by-step explanation:

Given that The Green Goober mixes 333 liters of yellow paint with 555 liters of blue paint to make 888 liters of special green paint for his costume.

So,

The amount of yellow paint: the amount of blue paint [tex]= 333: 555[/tex]

If the amount of yellow paint is y and the amount of blue paint is b, then, from the above relation

[tex]y: b = 333: 555\Rightarrow \frac y b = \frac {333}{555} \\\\\Rightarrow \frac y b = \frac {3}{5} \\\\\Rightarrow 5y=3b \\\\\Rightarrow 5y-3b=0.[/tex]

Hence, the equation that relates the amount of yellow paint, y, and the amount of blue paint,b, in liters [tex]5y-3b=0[/tex].

Answer:

5y-3b=0

Step-by-step explanation:

khan

what's the meaning of ode​

Answers

An ode is a type of lyrical stanza. It is an elaborately structured poem praising or glorifying an event or individual, describing nature intellectually as nicely as emotionally. A basic ode is structured in three major parts: the strophe, the antistrophe, and the epode.

Answer:

An ode is a poetic form.

Step-by-step explanation:

A type of lyrical stanza. A classic ode is structured in three major parts: the strophe, the antistrophe, and the epode.

in △QRS, line QR≅line SQ and m∠Q=114∘. find m∠S

Answers

Answer:

prove that lines AK and AL divide BC into three equal parts. 1.30. Point O is the center of the circle inscribed in △ABC. On sides AC and BC points M and K, ...

Step-by-step explanation:

I need help
What is the minimum value of 6x + 8y in the feasible region?
(0, 4)
(6, 4)
(6, 0)

Answers

(0,4) hope this helps

Answer:

(0,4)

Step-by-step explanation:

when you plug in 0 for x and 4 for y, you get

6(0) + 8(4)=32

when plugging in each set of ordered pairs, this set gives the lowest answer

what dos this mean?????

Answers

Ok so y is going to mean the total amount of money. 15x means he gets 15 dollars for every week. And the x is weeks. The 35 shows that he starts with 35 dollars

So here is an example
Let’s say he has worked for 2 weeks- he would say y=15 (2)+ 35. Which you would do at times 2 which is 30 and then add that to 35. So he would have 65 dollars from working two weeks. Let me know if you need any,ore help

What is the slope of the graph of 5x-2y=20 ?

A:
-10

B:-2 over 5

C:5 over 2

D:
5

Answers

-2y=-5x+20

y=5/2x -10

the answer is C

The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of 13 inches what is the costant of proportionality for the group of boxes

Answers

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

[tex]V = kl[/tex]

Putting V = 325 and l = 13

[tex]325 =k(13)\\k = \frac{325}{13}\\k = 25[/tex]

Hence,

The constant of proportionality for the group of boxes is: 25

a biker can ride a bicycle 18 miles in 3 hours. the messenger estimates that it will take 7 hours to bike 22 miles. here is the messengers work:


step 1: 22-18=4


step 2: 3+4=7


what mistake did the messenger make?


• the messenger did not make a mistake. the estimate is correct


• the 3 and 4 should have been multiplied instead of added.


• the messenger used addition and Subtraction instead of multiplication and division


• the 22 and 18 should have been divided instead of subtracted


• the 22 and 18 should have been averaged instead of subtracted

Answers

Answer:

The messenger should use addition and Subtraction instead of multiplication and division

Step-by-step explanation:

It is given that,

A biker can ride a bicycle 18 miles in 3 hours. the messenger estimates that it will take 7 hours to bike 22 miles.

He has done two steps :

step 1: 22-18=4

step 2: 3+4=7

The steps done by the biker are wrong. The correct step should be :

In 1 hour, he should cover (18/3) miles i.e. 6 miles

In 7 hours, he will cover (6×7) miles i.e. 42 miles

It means he should use addition and Subtraction instead of multiplication and division. Hence, the correct option is (c).

In how many ways can 3
person study groups be
selected from a class of 25
students?

Answers

There are 2300 ways by which we can select 3 students out of 25 students.                        

What is Combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

Here total number of Students = 25

         Number of selection = 3

Now,

Total number of ways by which we can select 3 out of 25  = ²⁵C₃

                                                                                               = 25!/3!.22!

                                                         = 25 X 24 X 23 X 22! / 3X2X1 X 22!

                                                         = 13800 / 6

                                                         = 2300

Thus, there are 2300 ways by which we can select 3 students out of 25 students.                

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Circle Q has a circumference of approximately 50 centimeters. Circle Q with diameter d is shown. What is the approximate length of the diameter, d? Use 3.14 for . Round to the nearest tenth of a centimeter. 4.0 centimeters 8.0 centimeters 15.9 centimeters 31.8 centimeters

Answers

Answer:

The answer is 15.9 centimeters. If you work backward with the formula 2pir = circumphrence, you get diameter *pi = 50. To find diameter, you divide 50 by pi and the answer is 15.9 centimeters.

Step-by-step explanation:

The diameter to the nearest tenth of a centimeter is mathematically given as

31.8cm, option D

What is the diameter?

Question Parameters:

Circle Q has a circumference of approximately 50 centimeters.

Generally, the equation for the circumference   is mathematically given as

C=2\pir

Therefore

r=C/ \pi

r=50/3.14

r=15.9cm

Therefore,

d=2r

d=2*15.9

d=31.847

In conclusion, the diameter to the nearest tenth of a centimeter. is

31.8cm

Read more about  Arithmetic

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I need help please thank you

Answers

Answer: The answer is 13,841,287,201

Step-by-step explanation:

You start with the equation that's in the parenthese which is  7^6, and the answer is 117,649. Then you're left with 117,649^2, so you solve for that which is 13,841,287,201. I'm not sure if this is what you're looking for but I hope this can help you.

3. Rectangle ABCD is shown on the coordinate grid below.
у
10
8 units
12 units
- 10 -8
X
9 units
D
o
7 units

Which is closest to the length of diagonal
AC?

Answers

Answer:

A. 8 units

Step-by-step explanation:

Coordinates of A = (-2, -2)

Coordinates of C = (5, 2)

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to calculate the length of diagonal [tex] \overline{AC} [/tex].

Let,

[tex] A(-2, -2) = (x_1, y_1) [/tex]

[tex] C(5, 2) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(5 -(-2))^2 + (2 -(-2))^2} [/tex]

[tex] d = \sqrt{(7)^2 + (4)^2} [/tex]

[tex] d = \sqrt{49 + 16} = \sqrt{65} [/tex]

[tex] d = 8.1 [/tex] (nearest tenth)

Therefore, the closest to the length of diagonal [tex] \overline{AC} = 8 units [/tex]

HELP PLS I NEED TO SOLVE THAT EQUATION NEED HELP ASAP

Answers

I believe the answer is A. The graph intersects on the y axis like it is supposed to do and it follows the pattern of the graph.

I hope this helped!

The radius of a semi-circle measures 5
units. Find its area.

Answers

Answer:

≈39.27 units

Step-by-step explanation:

To find the area of a semi circle, you use the formula for finding the area of a circle, which is [tex]\pi[/tex][tex]r^{2}[/tex], and then you divide that by 2 since it is half of a circle.

In this case, [tex]\pi[/tex][tex](5)^{2}[/tex] ≈ 78.54

[tex]\frac{78.54}{2}[/tex] = 39.27

Help please ( also who can help me with my math test tmrw ? Only 10 questions

Answers

Angle x is 114 since the two are supplementary angles they always add up to 180!

Answer:

114 degrees

Step-by-step explanation:

The angles are supplementary so...

180 - 66

114

HELP PLS..... tysm show the work

Answers

Answer:

a huge part of this question is missing

sorry no one can help you

there’s not enough info :(

Solve for the roots in simplest form using the quadratic formula:
4x2 – 12x = -17

Please answer

Answers

Step-by-step explanation:

4x² - 12x + 17 = 0

i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.

So √-5 = √5i and √-4 = 2i

Use the information given to determine the total percentage withheld. Round answer to nearest whole percent.

Answers

Answer:

23%

Step-by-step explanation:

I believe you subtract all of the taxes from the Gross Income first.

This will give you with $429.02

$429.02/560= About 76.6 percent.

100 percent-76.6 percent = Around 23.3 percent.

Round that down to 23 percent.

Hope this helps!

Solve the equation.

–9x + 1 = –x + 17

x = –8
x = –2
x = 2
x = 8

Answers

-9x + 1= -x + 17

- 9x + x= 17 - 1

-8x = 16

- x = 16÷8

x = -2

Answer:

-9x + 1= -x + 17

- 9x + x= 17 - 1

-8x = 16

- x = 16÷8

x = -2

An unused roll of paper towels is shown. What is the volume of the unused role

Answers

Answer:

1310.4

Step-by-step explanation:

26 x 12= 312 x 4.2= 1310.4

The volume of the unused role is 821.34π cm³

What is the volume?

Volume is defined as the space occupied within the boundaries of any three-dimensional solid.

Given that is a figure of unused roll of paper towels, we need to find the volume of the unused role,

The volume of a cylinder with radius r and height h is V = π·radius²·height

To find the same we will subtract the volume of the inner cylinder from the outer,

Volume = 6²π(26) - (2.1)²π(26)

= 26(36π - 4.41π)

= 26(31.59π)

= 821.34π cm³

Hence, the volume of the unused role is 821.34π cm³

Learn more about volumes, click;

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If a ship travels north for 18 miles and east for 12 miles,
to the nearest tenth, approximately how far away is it
from it's starting point?

Answers

Answer:

The ship is approximately 21.6 miles away from its starting point

Step-by-step explanation:

∵ The North and the East are perpendicular

→ That means the distance between the starting position and

   the ending position shows a hypotenuse of a right triangle which

   its legs are the distances due to North and East

∵ The ship travels north for 18 miles

leg1 = 18 miles

∵ The ship travels east for 12 miles

leg2 = 12 miles

→ By using Pythagoras Theorem

(hypotenuse)² = (leg1)² + (leg2)²

∴ (hypotenuse)² = (18)² + (12)²

∴ (hypotenuse)² = 324 + 144

∴ (hypotenuse)² = 468

→ Take √  for both sides

∴ hypotenuse = 21.63330765

→ Approximate it to the nearest tenth

hypotenuse = 21.6 miles

∵ The hypotenuse of the right triangle represents the distance from

   the starting position to the ending position

The ship is approximately 21.6 miles away from its starting point

Find the units of displacement of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Please answer my questions correctly.

Answers

Answer:

Translation (3 right, 5 up)

Step-by-step explanation:

Find the slope of the line that passes through the pair of points. (0, 5) and (6, 2)
-2
2
-1/2
1/2

Answers

Answer: the slope is

m = -1/2

Step-by-step explanation:

hey there, can you plz help me with my math assignment, plzzzz

Answers

What’s the problem????

please help with this, i’m gonna fail this class lol

Answers

Answer:

1. x= -24

2. x= -16

3. x= 12

4. x= 12

5. x= -16

6. x= -24

Answer:

First one is x= -24

second one is x= -16

third one is x= 12

fourth one is x= 12

fifth one is x= -16

sixth one is x= -24

Step-by-step explanation:

hope this helps

What is the quotient in simplest form?

Three-fourths divided by StartFraction 5 Over 16 EndFraction
StartFraction 15 Over 64 EndFraction
StartFraction 15 Over 16 EndFraction
2 and two-fifths
2 and StartFraction 8 Over 20 EndFraction

Answers

Answer:

2 and two fifths

Step-by-step explanation:

jehfjfjfnjdjfjfnfjifnnfjjf

Answer:

2 and 2/5

Step-by-step explanation:

what is the remainder when 2 is synthetically divided into the polynomial -3x^2 + 7x - 9?

A. -5
o
B. 0
o
C. 3
o
D. -7

Answers

Answer:

The remainder is -7; option D

Step-by-step explanation:

To find the remainder, simply substitute 2 into the polynomial

We have;

-3(2)^2 + 7(2) -9

= -12 + 14-9

= 14-21 = -7

As of July 1, 2014, the population of India was about 1,267,000,000.
How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?
2. Count the number of digits after the decimal point. How many places did you move the decimal point?
3. Did you move the decimal point to the right or to the left? What does this tell you about the power of 10 in the second factor?
4. What is the second factor written as a power of 10?
5. Write the population of India in scientific notation

Answers

Answer:

1. The first factor is 1.267

2. 9 Places

3. i) The decimal point was moved to the left

ii) This indicates the value of the power of 10 in the second factor

4. The second factor is 10⁹

5. The population of India in scientific notation is 1.267 × 10⁹

Step-by-step explanation:

PLEASE HELPP!!!!!!!!!!!!!!!!!!!!Solve: r-4 < 0

Answers

Answer:

r<4

Step-by-step explanation:

we add 4 to both sides

I wish this is helpful.

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