Take a two digit number represented by ab, such that neither a nor b is zero and a is not equal to b. Reverse the digits and add the result to the original number. Divide this sum by a+b. What is the quotient?

Answers

Answer 1

Answer:

11

Step-by-step explanation:

We can have any. two numbers that represent a and b

It CANT BE THIS FOLLOWING

A AND B CANT BE ZERO SO WE CAN USE MULTIPLES OF 10

A CANT BE EQUAL TO B SO WE CANT USE MULTIPLES OF 11( ALL THE WAY UP TO 99 BUT WE CANT USE ANY NUMBER AFTER THAT SINCE NUMBERS THAT COME AFTER 99 ARE THREE DIGIT NUMBER)

Let use 5 and 6.

56

Reverse the digits

65

add 56 to 65

121

Divide this by 6+5=11

The answer is 11 This vary for all answers let use 1,7

17 then reverse

71 then add 71 and 17

88 then divide by 1+7=8

11

Answer 2

The quotient is 11.

Step-by-step explanation:

Given:

A two-digit number,'ab'.

Where a and b are non-zero and are unequal to each other.

To find:

Quotient after dividing the sum of the given digit and its reverse with(a+b).

Solution:

The given digit = [tex]ab = (10a+b)[/tex]

[tex]Where:\\a \neq b, a\neq 0,b\neq 0[/tex]

On reversing the given digit =[tex]ba = (10b +a)[/tex]

Now adding the given digit and its reverse:

[tex]= ab +ba = (10a+b)+(10b+a)\\=(11a+11b)=11(a+b)[/tex]

Diving the sum with (a+b):

[tex]=\frac{11(a+b)}{(a+b)}=11[/tex]

The quotient is 11.

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Related Questions

Write the sentence as an equation.

251 is equal to m reduced by 119

Answers

Answer: 251=m-119

Step-by-step explanation:

251=m-119 There is nothing to explain.

HELP
Sairam has two jobs. He earns $8 per hour babysitting
his neighbor's children and he earns $11 per hour
working at the coffee shop.
Write an inequality to represent the number of hours,
x, babysitting and the number of hours, y, working at
the coffee shop that Sairam will need to work to earn
a minimum of $200.

Answers

Answer:

sairam will have to work around 18.18 hours at coffee shop to get 200$

Step-by-step explanation:

What is 5/6 plus 7/8?

Answers

Answer:

1  17/24

Step-by-step explanation:

Answer:

41/24 or 1 17/24

Step-by-step explanation:

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4 a pan

Step-by-step explanation:

2 - 1 1/4 = 3/4

two seperated into fourths would look like this

1/4 1/4 1/4 1/4

1/4 1/4 1/4 1/4

one seperated into fourths would look like this

1/4 1/4 1/4 1/4

so take one and one extra fourth away from two and you're left with

1/4 1/4 1/4

add that together and you have 3/4

what is the vertex of f(x)=7(x+15)^2

Answers

Answer:

y = a ( x − h ) 2 + k

Step-by-step explanation:

https://socratic.org/questions/what-is-the-vertex-form-of-y-2x-2-7x-15#243713

(15,0) is the correct answer

A farmer owns a strip of land next to an interstate. It is 1 mile long and 1/6 mile wide. What is the area of this strip of land in square miles?

Answers

Answer:

1/6 square miles

Step-by-step explanation:

lw=a

1*1/6=1/6

Answer:

1/6 square mlies

Step-by-step explanation:

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 13)(0,13) and (3, 832)(3,832).

Answers

Answer: Down Below

Step-by-step explanation: y=ab%5Ex

that goes through points (0, 10) and (2, 490)

y=ab%5Ex.......plug in (0, 10)

10=ab%5E0

10=a%2A1

a=10

so far

y=10b%5Ex......plug in (2, 490)

490=10b%5E2

b%5E2=490%2F10

b%5E2=49

b=sqrt%2849%29

b=7

your function is:+y=10%2A7%5Ex

A function assigns the values. The exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the exponential eqation is y=abˣ, substitute any one of the point in equation we will get,

13 = ab⁰

13 = a ₓ 1

a = 13

Therefore, the function can be written as y=13bˣ.

Substitute other point in the equation,

832 = 13 (b³)

b³ = 832/13

b³ = 64

b = 4

Hence, the exponential function that goes through (0, 13) and (3, 832) is y=13(4)ˣ.

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Explain why triangles with 3 congruent parts aren’t necessarily congruent.

Answers

Answer:

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

For a certain strain of bacteria, k is 0.683 when t is measured in days. Using the formula y = aek, how long will it take 12 bacteria to increase to 732 bacteria?​.

Answers

Answer:

5.9 miliseconds

Step-by-step explanation:

it is it because there is a second to millisecond on a watch


The whole bar weighs 60 grams. How much does 1/4
of the bar weigh?

Answers

Answer:

15 grams

Step-by-step explanation:

Answer:

1/4 of the bar is 15 grams

Five cats each had 5 kittens. The cats and kittens each had 5 fleas. Each flea had 5 tiny spiders on it. How many legs are there all together?

Answers

Answer:

5 cats times 4 legs = 20

5 kittens times 4 legs =20

5 fleas times 5 cats = 25

5 fleas times 5 kittens = 25

5 tiny spiders times 5 fleas = 25

20+20+25+25+25= 115

115 legs altogether

Answer:

yup 115 legs

Step-by-step explanation:

Help!!!!
Given that slope = -4 and a point (-2,5), write an equation in standard form
of the line.

Answers

THE ANSWER IS: 4x+y=-3

first plug in the slope and given point into point-slope form

solve for y to get slope-intercept form

rewrite the equation in standard form

What is the 8th term of the sequence 12, 17, 22, 27, 32,…?
A. 47
B. 42
C. 52
D. None of these choices are correct.

Answers

Answer:

A. 47

Step-by-step explanation:

Hope it helps! If you want an explanation, ask in the comments and I'll give you one!

A.47
The 6th term is 37
The 7th term is 42
The 8th term is 47

I WILL MARK BRAINLEST PLS
Oki received a statement on her Certificate of Deposit showing that her investment had returned $8,000 over its life. If the Certificate of Deposit pays a simple interest rate of 4% and her initial investment was $ 20,000, how long had the money been invested?

Select one:
a. 130.1 months
b. 10 years
c. 10.8 years
d. 80 months

Answers

Answer:

b) 10 years

Step-by-step explanation:

8,000 x .04 = 800 x 10 = 8000

Hope that helps!

Answer:

10

Step-by-step explanation:

A 26-year-old male buys 100/300/100 liability insurance, collision insurance with a $100 deductible, and comprehensive insurance with a $250 deductible What is his total annual premium? Liability Insurance Type Bodily injury Amount Premium 25/50 $220 50/100 $310 100/300 $450 25 $175 50 $245 100 $375 Property damage Collision & Comprehensive Premiums Deductible Collision Comprehensive $215 $129 $250 $185 $102 $500 $148 $85 $100 Rating Factor a Male 3.0 Female 1.45 Age 17-20 21-24 25-29 1.2 215 1.55 1.0 $1142.00 $1765.45 $1770.10 $1785.25​

Answers

Correct me if I’m wrong, I believe you have to add all of those numbers together. Then divide after and plug in those remaining digits

Answer: $1770.10

Step-by-step explanation:

Step 1.

450+ 375= 825

Step 2.

825+ 215+ 102= 1142

Step 3.

1142 × 1.55= 1770.1

Solve the Equation
-8.3 = d+4.7

Answers

Answer:

d = -13

Step-by-step explanation:

-8.3 = d + 4.7

-8.3 - 4.7 = d

-13 = d

-8.3=d+4.7

What you want to do is flip the equation like this:

d+4.7=-8.3

The next step is to subtract 4.7 from both sides of the equation:

d+4.7=-8.3

-4.7 (both sides)

this equals to d=-13

Your final answer is d=-13 (negative 13).

Hope this helps!!

There are six checkout tills at a small supermarket. Two of the tills have comfy seats. What is the probability an employee will get a till with a comfy seat?
Give your answer as a fraction

Please can someone help thank you very much :)

Answers

Answer:

1/3

Step-by-step explanation:

2/6 means that 2 out of the 6 tills have comfy seats. 2/6 simplified is 1/3

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The total amount of tilts is 6

The amount of tilts with comfortable seats is 2

So there are two tilts with comfortable seats out of six tilts that are in the supermarket

Now write it as fraction:

[tex]\frac{2}{6}[/tex] = [tex]\frac{2*1}{2*3}[/tex] (alternatively 2/6)

Here we get the probability

// divide numerator and denominator by 2

[tex]\frac{2*1}{2*3}[/tex] = [tex]\frac{1}{3}[/tex] (alternatively 1/3)

HELP ASAP PLEASE I CANT FAIL THIS OR ELSE I GOTTA DO A WHOLE LESSON :( IM ALREADY SO BEHIND!!!!

Answers

Answer:

the last one on the bottom  

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

How would yoy simplify 4(5+x)

Answers

Answer:

4x + 20

Step-by-step explanation:

4(5 + x) = 4 * 5 + 4 * x = 20 + 4x = 4x + 20

Answer- 4x add 20

Hope this helps you out! Cya

un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

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The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:

a.
1923.24

b.
1816.93

c.
1500

d.
1485

Answers

Answer:

c.

1500

Step-by-step explanation:

The computation of the total amount of interest in first month is shown below:

Interest for first month is

= Mortgage amount × interest rate ÷ total number of months in a year

= $300,000 × 6% ÷ 12  

= $1,500

Hence, the interest in the first month is $1,500

Therefore the c option is correct


The ratio of the volume of orange juice in Glass A to the volume of orange juice in
Glass B is 5: 3. Half of the orange juice in Glass A is poured into Glass B. What is the
new ratio of the volume of orange juice in Glass A to the volume of orange juice in
Glass B?​

Answers

Answer: A:B = 3:13

Step-by-step explanation:

B 5, A 3 (double to get rid of halves)

B 10, A 6, —> B 13 A 3

The question needs you to find the new ratio of the glasses

The new ratio of glass A to glass B = 2.5 : 5.5

Glass A = 5

Glass B = 3

Half of the orange juice in Glass A is poured into Glass B

B = 3 + 1/2 of 5

= 3 + (1/2×5)

= 3 + 5/2

= 6 + 5 / 2

= 11/2

B = 11/2

= 5.5

A = 5 - 1/2 of 5

= 5 - (1/2×5)

= 5 - 5/2

= 10-5/2

= 5/2

= 2.5

The new ratio of glass A to glass B = 2.5 : 5.5

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An equation is shown below:

8(2x − 14) + 13 = 4x − 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Amd please show the work.

Answers

Step-by-step explanation:

first distribute the first equation

8(2x) - 8(14) +13 = 4x -27

16x - 112 +13 = 4x -27

then combine like terms

16x - 99 = 4x -27

subtract 4x from both sides

12x - 99 = -27

add 99 to both sides

12x = 72

divide both sides 12 to isolate the x

x = 72/12 = 6

Can someone help me with a two step equatio that is x=2

Answers

Sure type it in comments

5 for $4.45 or 8 for $7.28

Answers

Answer:

5 for $4.45

Step-by-step explanation:

pls help me...........

Answers

Answer:

3,480

Step-by-step explanation:

After 4 years she had to repay 3,480, i did this one before and got it right hope it helped have a nice day!

Correct option :

[tex]\color{plum}\tt\bold{(b) \: \$3480 }[/tex]

Steps to derive correct option :

Money Maria borrowed = $3000

Percentage of simple interest per annum = 4%

Time she took to repay the money she borrowed = 4 years

We know that :

[tex]\color{hotpink}\tt \: Simple \: interest = \color{plum}\frac{principal \times rate \times time}{100} [/tex]

In this case :

Principal = $3000

Rate = 4%

Time = 4 years

Which means. the simple interest :

[tex] = \tt \frac{3000 \times 4 \times 4}{100} [/tex]

[tex] = \tt \frac{48000}{100} [/tex]

[tex]\color{plum} =\tt\$ 480[/tex]

Thus, the interest she has to pay = $480

We know that :

[tex]\color{hotpink}\tt \: Amount \color{plum}= principal + interest[/tex]

Then, the Amount Maria has to pay :

[tex] =\tt 3000 + 480[/tex]

[tex]\color{plum} =\tt \$3480[/tex]

Thus, the amount Maria has to repay after 4 years = $3480

Therefore, the correct option is (b) $3480

Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house?

Answers

Answer:

23952

Step-by-step explanation:

Answer:

23952

Step-by-step explanation:

so you would multiply 998 by 24 to get the answer

solve the question 7 _ 2 3/7​

Answers

Answer:

Do you mean 7 - 2 and 3/7?

If so:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

32 /7

Decimal Form:

4. 571428

Mixed Number Form:

4  and 4 /7

Step-by-step explanation:

Have a great day!

Answer:

3.7 the answer.........

ratio of 12 seconds to 1 hour​

Answers

12:3600

1:300

I edited it lol

hope that helps

36 - 40. In order to save for her high school graduation, Marie decided to save P200 pesos at the end of each month. If the
bank pays 0.250% compounded monthly, how much will her money be at the end of years?​

Answers

Answer:

200.4 at 0.25%

Step-by-step explanation:

Given data

P= P200

r= 0.25%

t= 1 year

n= 12

A= P(1+ r/n)^nt

substitute

A= 200(1+ 0.0025/12)^12*1

A= 200(1+ 0.00020833333)^12

A= 200(1.0002)^12

A= 200* 1.002

A= 200.4

Hence the amount is 200.4 at 0.25%

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