The sum of the digits of a two-digit number is 10. When the digits are reversed, the number decreases by 36. Find the original number

Answers

Answer 1
we have a 2-digit number where the sum of the digits is 10. If we then take the 2-digit number and subtract 36 we get the 2-digit number, reversed.

The 2-digit number can be represented as 10a + b. And we know a + b = 10. We also know that 10a + b - 36 = 10b + a. Arranging gives us 9a - 9b = 36. And then divide by 9 gives us a - b = 4. Now we have a + b = 10 and a - b = 4. Adding those together gives us 2a = 14 and then a = 7. Following that b is 3. This means that the 2 digit number we’re looking for is 73.

Related Questions

What is the exact circumference of the circle?

A 10π ft

B 20π ft

C 40π ft

D 60π ft

Answers

The exact circumstance of the circle is 20pi ft which means the answer is B

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

Diameter (d) = 20 ft

Radius (r) = ?

[tex]r = \frac{d}{2} \\ r = \frac{20}{2} \\ r = 10 \: \: ft[/tex]

____________________

Now, we've to find the exact circumference (c) ..

[tex]c = 2\pi \: r \\ c = 2\pi \times 10 \\ c = 20\pi ft[/tex]

The answer is [tex]\large\bold{20π \ ft (option \ C)}[/tex]

____________________

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a flomming tile has the shape of a parallelogram whose base is 24cm and height is 10 cm how many tiles are required to cove the floor of area 1080m2

Answers

Answer:

4 1/2 tiles are needed to cover this area

Step-by-step explanation:

Mathematically, the area of a parallelogram is the product of the base and the height

We have this as;

24 * 10 = 240 cm^2

So the area of a tile is this

The number of tiles that will cover the given area will be;

1080/240 = 4.5 tiles

If x + y = 12 and x = 2y, then x=

Answers

The value of x is equal to 8.

Given the following equation;

[tex]x + y = 12[/tex]  .....equation 1

[tex]x = 2y[/tex]       .....equation 2

To find the value of x, we would solve the system of equations by using the substitution method to determine the value of y;

Substituting eqn 2 into eqn 1, we have;

[tex]2y + y = 12[/tex]

[tex]3y = 12\\\\y = \frac{12}{3}[/tex]

y = 4

Next, we would solve for the value of x;

From equation 2;

[tex]x = 2y\\\\x = 2(4)[/tex]

x = 8

Therefore, the value of x is equal to 8.

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Martin Company currently produces and sells 33,000 units of product at a selling price of $15. The product has variable costs of $5 per unit and fixed costs of $43,000. The company earns a total contribution martin of

Answers

Answer:

$330,000

Step-by-step explanation:

The selling price per unit is $15

The variable cost per unit is $5

Units sold is $33,000

The contribution margin can be calculated as follows

(15-5)×33000

= 10 × 33000

= 330,000

Hence the contribution margin is $330,000

identity the transformation that was applied to this letter.

Answers

Answer:

Rotation around the origin.

The image was rotated 90 degrees clockwise

help please asap!!!!​

Answers

Answer:

-8a - 6b

Step-by-step explanation:

6a - 13b - 14a + 7b =

6a-14a = -8a

-13b + 7b = -6b

-8a - 6b

77+7
plz help me with this problem dldldlddldldl

Answers

Answer:

84

Step-by-step explanation:

1. Set up Problem

2. Add form right to left

77+7 = 84 because 77+7 = 84

Jeffrey buys a microscope priced at $333.74. Shipping and handing are an additional 10 of the price. How much shipping and handling will Jeffrey pay?​

Answers

Answer would be 42.28

A cheese maker changes the temperature of his milk at a rate of -3°F per minute. What is the change
in the temperature of the milk after 15 minutes?

Answers

Answer: -45°

Step-by-step explanation: This is because if it changes -3°F every minute and there are 15 minutes, just do 15*-3. In this case, is -45°

Adult movie tickets cost $8 each. Children pay $5 for a ticket. For one movie, 90 total tickets were sold for a total of $525. Which system of equations can be used to find the number of each type of ticket, adult, a, and children, c, that were sold?
A. a + c = 90 8a + 5c = 525
B. a + c = 525 8a + 5c = 90
C. a + c = 90 5a + 8C = 525
D. a + c = 525 5a + 8C = 90​

Answers

Answer: A

Step-by-step explanation:

I had this question on my test yesterday lol

The system of equation will be ". a + c = 90 8a + 5c = 525"

Let the number of adults tickets be represented by a

Let the number of children tickets be represented by c.

Since 90 total tickets were sold, this can be represented by the equation:

a + c = 90

Since adult movie tickets cost $8 each while the children pay $5 for a ticket, and total cost spent is $525, this will be:

8a + 5c = 525

Therefore, the correct option is A.

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2x=16 what is the answer

Answers

Answer:

8

Step-by-step explanation:

2*8 = 16

Answer:

x=8

Step-by-step explanation:

Thats what I think it is

Circle P has radius 6, and circle O has circumference 36π. What is the scale factor of the dilation that transforms circle P into circle O?

Answers

Answer:

thanks

Step-by-step explanation:

I don't understand this problem. will look at and edit my answer if get it.

A snow storm has blown across the united states. Currently, 30k square miles of land are affected. Each day, the land increases by 30% Equation: How much will the be hit by the snowstorm after 5 days?​

Answers

Answer:

50,000 Square Miles.

Step-by-step explanation:

30% = 1/3

30,000/1 * 1/3 = 10,000

10,000 * 5 = 50,000

If this question helped pls give me brainliest :) have fun

Franky and Francesca applied to the same college. They looked up the average SAT score of students admitted to that college. Franky’s SAT score was 140 points above the average score. Francesca’s SAT score was 40 points below the average score. Which expression represents the difference in their scores?

❘-40 - 140❘
-❘140❘ - ❘40❘
-❘140❘ + ❘-40❘
❘140 - 40❘

Answers

It would be I140-40I
(So the last answer)
Hope this helped ^^

Yolanda made $242 for 11 hours of work. At the same rate, how many hours did she have to work to make $198.

Answers

His hourly rate is:

242/11=22 dollars

( dollars/hour ) x ( hours worked ) = dollars earned

Let t= hours worked

22t+=198

t=198/22

t=9

Yolanda needs to work 9 hrs

Find the minimum or maximum value of the function g(x)=−4x^2+16x−15

Answers

i got (2,1)

but the maximum/minimum will always be the y

so the why in that case is 1

Write a second equation whose graph goes through (0,1) so the system has no solutions.

Answers

Answer:

y = 5x + 1

Step-by-step explanation:

Hello There!

Equations that have no solutions are parallel

So the line we are going to create an equation for has the same slope as the line drawn  

To find the slope we do change in y divided by change in x

as y goes 5 x goes up 1

so the slope is 5/1 or 5

The requirements for the equation is it has to go through the points (0,1)

The ordered pair listed is the y intercept so the equation would be

y = 5x + 1

Sam and Ella were running in a race. Sam ran ⅞ of a mile and Ella ran 5/10 of a mile. At the end of the race they wanted to compare how far they ran. Ella said they could compare the fractions by comparing each fraction to ½. Show how Ella could compare 5/10 and ⅞ to ½ . Then explain who ran further and how you know.

Answers

Answer:

ELLA

Step-by-step explanation:

Given that :

Distance covered by Ella = 5/10

Distance covered by Sam = 7/8

Comparing each distance to 1/2

Ella = 5/ 10 = 1/2 ; 1/2 = 1/2 = 0.5

Sam = 7/8 = 0.875 ; comparing with 1/2

0.875 > 0.5

Given

Sam ran farther Than ELLA

Because 0.875 > 1/2

0.875 - 0. 5 = 0.375

Simplify the expression. Write your answer using only positive exponents. Evaluate any numerical powers.


3^4⋅x⋅(3/x^2)^−2

show your work

Answers

Answer:

9x⁵

Step-by-step explanation:

Use properties of exponents:

[tex]a^{b} a^{c} = a^{b+c}[/tex], [tex](a^{b} ^)^{c} = a^{bc}[/tex], [tex]1/a^{-b} = a^{b}[/tex]

Simplify the given expression:

3⁴⋅x⋅(3/x²)⁻² = 3⁴·x·(3x⁻²)⁻² = 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =3⁴⁻²·x¹⁺4 =3²·x⁵ =9x⁵

[tex]\\ \rm\Rrightarrow 3^4x\left(\dfrac{3}{x^2}\right)^{-2}[/tex]

[tex]\\ \rm\Rrightarrow 3^4x\times \left(dfrac{x^2}{3}\right)^2[/tex]

[tex]\\ \rm\Rrightarrow 3^4x\times\dfrac{x^4}{3^2}[/tex]

a^m×a^n=a^m+na^m/a^n=a^m-n

[tex]\\ \rm\Rrightarrow 3^2x^5[/tex]

[tex]\\ \rm\Rrightarrow 9x^5[/tex]

4. This is a
function
5. The equation is
6. The value for f(-4) is
THREE NUMBERS BEHIND THE DECIMAL PT

Answers

Answer:

Step-by-step explanation:

4). This is an exponential function.

5). Let the equation of this function is,

    f(x) = a(b)ˣ

    Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,

    For (-1, 4),

    4 = a(b)⁻¹

    4 = [tex]\frac{a}{b}[/tex] --------(1)

    For (0, 6),

    6 = a(b)⁰

    a = 6

    From equation (1),

    4 = [tex]\frac{6}{b}[/tex]

    b = [tex]\frac{6}{4}[/tex] = 1.5

    Therefore, equation of the function will be,

    f(x) = 6(1.5)ˣ

6). Now the value of f(-4) will be,

    f(-4) = 6(1.5)⁻⁴

           = 1.185

What is a No solution? What is a infinite solution?

Answers

No is a solid answer and infinite solution well that just means anything

Answer:

No solution would mean that there is no answer to the equation. ... Infinite solutions would mean that any value for the variable would make the equation true?

What's the slope of the line passing through the points 9, 7 and 9 , -1

Answers

Answer:

Undefined slope

Human:

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ 5/4

I WOULD APPRECIATE BRAINLIEST!

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13. After Valentine's Day, boxes of chocolates go on sale and are marked down 10%. The
original price of a box of chocolates is $30. What is the sale price? (price after the discount)
A $3.00
C $27.00
B $5.00
D $33.00

Please help!! This test is super hard

Answers

Answer:

$27.00

Step-by-step explanation:

First, 10% of 30 = 3.

Second, 30 - 3 = 27

Hope this helps!

help me please please!!!!!!!!

Answers

the correct answer is b

Help me in 5 minutes

Answers

Answer:

it should be A and C

Step-by-step explanation:

peer reviews are supposed to help improve and edit unchecked writings, not improve relationships or socialize

Help!!!!!!! Once again this is a review!!!!!!! Question is on image below. 50 points + brainliest!!!!!!

Answers

Answer:

82

Step-by-step explanation:

It is lets then 90 but not by much

the cost of 7 toys is AED 294. the cost of 5 toys. (Unitary method)

Answers

Answer:

AED 210

Step-by-step explanation:

If the cost of 7 toys is AED 294, this is written as;

7 toys = AED 294

To get the cost of 5 toys, this is written as;

5 toys = x

Divide both expressions

7/5 = 294/x

Cross multiply

7x = 5 * 294

7x = 1470

x = 1470/7

x = 210

Hence the cost of 5 toys is AED 210

The angle of elevation from a kicker's foot on the football field to the top of the goal post is 17 degrees. If he is standing 131 feet from the base of the goal post, how tall is the goal post?​

Answers

Answer:

The goal post is 40.05 feet tall.

Step-by-step explanation:First, you need to decide whether to use sin, tan or cos.

You have the angle, the adjacent and need the opposite , so you need to find out which one has all three values in

Sin  

Cos  

Tan  

So you need to use tan.

Tan = opposite / adjacent, so rearrange the formula to make opposite the subject:

[tex]Opp = Tan * adj

So simply plug these values in:

[tex]Opp =131 * tan(17) = 40.05

So the goal post is 40.05 feet tall

what is the square root of 27485.992521?

Answers

Answer:

My calculator says 165.789

3. If the average of 16, 14, x, 23, 20 is 18, find the value of x.
LA
Maths

Answers

Answer:

x = 17

Step-by-step explanation:

Here, we want to find the value of x

mathematically, the mean is the sum of the numbers divided by the count of the numbers

The count of the numbers is 5

So we have;

(16 + 14 + x + 23 + 20)/5 = 18

73 + x = 5(18)

73 + x = 90

x = 90-73

x = 17

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