The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the reversed number. Find the number.

Answers

Answer 1

Answer:

62

Step-by-step explanation:

Let the two digit number be XY

X+Y = 8

10X+Y - (10Y+X) = 10Y+X+10

10X+Y-10Y-X=10Y+X+10

8X-19Y=10

8(8-Y)-19Y=10

64-8Y-19Y=10

27Y=54

Y=2

The number is therefore 62.

Answer 2

The required two-digit number with sum of digits as 8 is 62.

Let us say the number is xy

What is the place value of x and y in xy?

The place value of digits, x and y in the number xy are 10 and 1 respectively.

So the number xy can be written as 10x+y

When the digits are reversed

The new number or reversed number obtained will be yx

So the new number yx can be written as 10y+x

Since the difference between the original number and the reversed number is 10 more than the reversed number.

So, (10x+y) - (10y+x) = 10 + (10y+x)

8x-19y =10.......(1)

Since the sum of digits is 8

So, x+y = 8......(2)

By solving equations (1) and (2) we get

x=6, y=2

So, the required number is xy i.e. 62.

Therefore, The required two-digit number with sum of digits as 8 is 62.

To get more about linear equations visit:

https://brainly.com/question/14323743


Related Questions

what is 1 5/8 rounded to the nearest half A.1 B.1 1/2 C.2 D.2 1/2

Answers

1 1/2 I think is the answer

Answer: B

Step-by-step explanation:

HAVE A BLESSED DAY

Solve 15=3n+6p, for n

Answers

Answer:

[tex]n=5-2p[/tex]

Step-by-step explanation:

STEP 1: Rewrite the equation as  3 n + 6 p = 15 .

[tex]3n+6p=15[/tex]

STEP 2: Subtract  6 p  from both sides of the equation.

[tex]3n=15-6p[/tex]

STEP 3: Divide each term by  3  and simplify.

[tex]n=5-2p[/tex]

This is how I solved it

HELPPPP ORDER THE NUMBERS FROM LEAST TO GREATEST
-3.5, √20, negative √19, 4.9, 3/2

Answers

Answer:

[tex]\sqrt{-19} , -3.5, 3/2, \sqrt{20} , 4.9[/tex]

Negative numbers go first, the greater the number, the smaller the number.

Answer:

-√19,-3.5, √20, 4.9, 1/2

Step-by-step explanation:

Find the square root of 19 ( Which you can't)  always have the negatives go first because negatives are the greatest. Find the square root of 20, which equals 4.4, then divided 3/2 which gives you 1.5. I hope this helped! I'm not the best at explaining either.

y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis

(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice D)
D
Neither

Answers

Answer:

the answer is both

Step-by-step explanation:

just do It I checked

Answer:

the answer is C, both are correct

Step-by-step explanation:

Matilda is selling hand-painted vases at a craft fair. She will
have to pay $200 to rent a booth at the fair. The cost of the
paint and other materials to create each vase is $5.50. She is
going to sell each vase for $14.00.
Part 1. Write an inequality to represent the situation in which
Matilda makes a profit. You must define any variable(s) you
use.
Part 2. How many vases must Matilda sell to make a profit?
Explain your reasoning.

Answers

Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

Answer:

14v > 200 + 5.50v, she will have to sell 24 vases to make a profit

Step-by-step explanation:

It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.

14n > 200 + 5.50n

336 > 332, true

n > 23

Hope This Helps!

Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?

Answers

Answer:

25 1/2 square meters remaining

Step-by-step explanation:

Total area of the pool deck=76 1/2 square meters

He painted 2/3 of the deck before stopping for lunch

Total painted=2/3 of 76 1/2

=2/3*153/2

=306/6

=51 square meters

Total remaining=Total area - total painted area

=76 1/2 - 51

=153/2 - 51

=153-102/2

=51/2

=25 1/2 square meters remaining

Make y the subject:
X =
4y - 3
5
(DOK 2)
Select one:​

Answers

Answer:

A

Step-by-step explanation:

5x/4+3=y is the answer

Which ones are equivalent?

Answers

Answer:

where is the work or where's the graph or picture I will edit my answer after you edit your question

Answer:

wheres the graph?

Step-by-step explanation:

3/4 subtracted from a number, and then 5 1/4 was added to the result The sum was -7. What was the original number?

Answers

Tha answer to this is -11.5

Find the soultion, marked as brainlest

Answers

Answer:

It is (3,1)

Step-by-step explanation:

Plz name me brainliest I would greatly apreciate it I just need one more

(picture) what is the answer if x=-2

Answers

If x = 2

then

3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #

Therefore, if x = 2 then it's 9

Expand: -3(x – y + 5)​

Answers

Answer:

-3x+3y-15

Step-by-step explanation:

;)

Answer:

-3x+3y-15

Step-by-step explanation:

-3*x= -3x

-3*-y= 3y

-3*5= -15

what is 2x+5=17
need step by step explanation

Answers

Answer: [tex]x=6[/tex]

Step-by-step explanation:

[tex]2x+5=17[/tex]  

    [tex]-5=-5[/tex]

_________

[tex]2x=12[/tex]

[tex]\frac{2x}{2}= \frac{12}{2}[/tex]

[tex]x=6[/tex]

Answer:

X=6

Step-by-step explanation:

Subtract 5 from 5 to get 2x=17

Subtract 5 from 17 aswell to get 2x=12

Devide both sides by 2 to get x=6

Carly is ordering candles online.

Answers

Answer:

Is that the whole question or....


En Faiz deposits a sum of Rm 18000 in a bank with interest rate of 4.5% per annum and compounded
once every 4 months. Find En Faiz's total savings at the end of the year.​

Answers

Answer:

4.5 divide 100 x RM18000

4.5% is 810

810 x 3 = RM2430

RM 2430 is the total savings at the end of the year

Which ordered pairs are solutions to the inequality y - 3x < -8?
Select each correct answer.
(1, -5)
(-3, - 2)
(0, -9)
(2, -1)
(5, 4)​​​

Answers

Answer:

Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality [tex]y - 3x < -8[/tex]

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

[tex]-5-3(1)<-8\\-5-3<-8\\-8 < -8 \ (incorrect)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

[tex]-2-3(-3) < -8\\-2-9<-8\\-11 < -8 (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

[tex]-9-3(0)<-8\\-9-0<-8\\-9<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

[tex]-1-3(2)<-8\\-1-6<-8\\-7<-8 \ (false)[/tex]

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

[tex]4-3(5)<-8\\4-15<-8\\-11<-8 \ (true)[/tex]

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality [tex]y - 3x < -8[/tex]

(3.0 x 10^-2)(7.2 x10^8)

Answers

Answer:

the answer is  21600000

Step-by-step explanation:

Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11. 101 99 124 112 Activate Windows Go to Settings to activate Windows. 3:14 PM​

Answers

Answer:

v=99

Step-by-step explanation:

This is somewhat like a ratio problem. So, when v is 36, g is 4. We can simplify this. So, if we divided g by 4 we get one, and if we divide v by 4 we get 9. So, we have 1:9 ratio of g to v. If g is 11, then we multiply the 1 by 11 and the 9 by 11 also. Therefore, v is 99

(a^2 - b^2)/(2 + d^3)
a stands for 6, b stands for 4, d stands for 1 over 2, i need explanation too

Answers

Answer:

Solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]

Step-by-step explanation:

We are given formula: [tex]\frac{a^2-b^2}{2+d^3}[/tex]

and values a=6, b=4 and d=1/2

We need to put the values of a, b and d in the given equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] and find their result

Putting values in the equation:

[tex]\frac{a^2-b^2}{2+d^3}\\=\frac{(6)^2-(4)^2}{2+(\frac{1}{2})^3}\\=\frac{36-16}{2+\frac{1}{8}}\\=\frac{20}{\frac{2*8+1}{8}}\\=\frac{20}{\frac{17}{8}}\\=\frac{20*8}{17}\\=\frac{160}{17}[/tex]

So, solving the equation [tex]\frac{a^2-b^2}{2+d^3}[/tex] by putting a=6, b=4 and d=1/2 we get [tex]\frac{160}{17}[/tex]

geometric of
1/3, 2/9, 4/27, 8/81, 16/243

Answers

a The answer is
n
=
2
n

1
3
n

100 percent as a fraction in simplest form.

Answers

Answer:

1/1

Step-by-step explanation:

100/100=1/1=1

Answer:

Step-by-step explanation

1/10 would be the answer

As a fraction it would be 1/100 but simplified it will be 1/10

please help me fill in the blank

Answers

Answer: X = 5

Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.

What is the value of n in (17 × 25) × 4 = n × (25 × 4)?
Answer:

n= 17

Step-by-step explanation:

17×25 = 425

425×4= 1700

25×4=100

1700÷100= 17

Answers

Answer:

Step-by-step explanation:

(17×25)×4=n×(25×4)

or 17×(25×4)=n×(25×4)  

17=n

∵ (a×b)×c=a×(b×c) [by associative law of multiplication.]

Name the property of operations illustrated by each statement.
a. 11.1+0=11.1
b. 6(2.7+4)=6(4+2.7)
1 2 1 22 c. 3 1 = 3311
( ⋅ )⋅ ⋅(( ⋅ ))
2
3 2 33
d. 18+(−18)=0

Answers

Answer:

The answer is B

Step-by-step explanation:

All they did was switch the numbers and if you use distribution it will be equal.

Use long division to divide and use the results to factor the dividend completely (X3 - 4X2 -17X + 6) divided by (X-3) The X3 and X2 are supposed to be exponents

Answers

Answer:

x^2 -1x-20 +((-54)/(x-3))

Step-by-step explanation:

Let's do long division. I've uploaded the file for the work.

Which of the following numbers can be expressed as a decimal that terminates? (5 points)

3 over 2 , 2 over 3 , 3 over 4 , 5 over 7
3 over 2 and 2 over 3
3 over 4 and 5 over 7
3 over 2 and 3 over 4
2 over 3 and 5 over 7

Answers

Answer:

3 over 2 = 1.5

3 over 4 = 0.75

3 over 2 and 3 over 4 = 2.25

Step-by-step explanation:

Answer:

3 over 2 and 3 over 4

Step-by-step explanation:

that it

Tina rode her bike a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)

Answers

Answer:

64

Step-by-step explanation:

1.6 x 40 it's math

When Mei was born, her parents gave her 6 dolls
to start her collection. Each year, she receives
4 new dolls as gifts. What function, f(x), models
the total number of dolls in her collection after x
number of years?
f(x) =
Plz help I will mark brainliest

Answers

Maybe 6+4x??? Not sure though

If her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, When Mei was born, her parents gave her 6 dolls to start her collection. Each year, she receives 4 new dolls as gifts.

The function, f(x), models the total number of dolls in her collection after x number of years is,

f(x) =6+4x.

Thus, if her parents had given her six dolls to begin her collection. She receives four brand-new dolls as presents every year. After x years, the function f(x) models that she would have a total of f(x) =6+4x. dolls in her collection.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Hi, could any one explain how to find the amount of prime numbers between numbers?

Answers

Answer:

The answer is below

Step-by-step explanation:

So first to find a prime number, you need to know some multiplication skills.

So prime number is a number that is only divisible by itself or 1.

______

For example

3 is a prime number because it can't be divisible by any number

but

9 is not a prime number, because it can be divisible by 3

3 x 3 = 9

______________________

So you get it now

Now if you get a some number between 1 - 10

you have to use your multiplication skills to see if there are any prime numbers.

_____________________________

so

1  - not a prime number, can't be divisible by any number.

2 - not a prime number, can't be divisible by any number.

3 - not a prime number, can't be divisible by any number

4 - is a prime number, can be divisible a number (2 x 2 = 4)

5 - not a prime number, can't be divisible by any number

6 - is a prime number, can be divisible a number (3 x 2 = 6)

7 - not a prime number, can't be divisible by any number

8 - is a prime number, can be divisible a number (4 x 2 = 8)

9 - is a prime number, can be divisible a number (3 x 3 = 9)

10 - is a prime number, can be divisible a number (5 x 2 = 10)

__________________________________________________________

x^(2)+16x+28=0 complete the square

Answers

Answer:

(x + 8)² = 36

Step-by-step explanation:

When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.

x² + 16x + 28 = 0

x² + 16x + 28 - 28 = 0 -28

x² + 16x = -28

Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.

x² + 16x + 64 = -28 + 64

x² + 16x + 64 = 36

Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.

(x + 8)² = 36

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