A number consists of two digit whose sum is 9. If 9 is subtracted from the number the digits
interchange their places. Find the number.

Answers

Answer 1

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex]Let\ the\ first\ digit\ of\ the\ two\ digit\ number\ be\ a\\Let\ the\ second\ digit\ of\ the\ two\ digit\ number\ be\ b\\Hence,\\We\ are\ given\ that,\\a+b=9\\Hence,\\b=(9-a)\\As\ we\ know\ that,\\The\ original\ number\ containing\ 2-digits\ can\ be\ written\ as: 10a+b\\Hence,\\The\ original\ number=10a+(9-a)\\The\ original\ number=9a+9\\\\[/tex]

[tex]Now,\\Lets\ consider\ the\ reversed\ number\ with\ the\ reversed\ digits\ of\ the\\ original\ number.\\Hence,\\Reversed\ number\ containing\ reversed\ digits\ can\ be\ written\ as:10b+a\\Hence,\\Reversed\ number=10b+a\\Reversed\ number=10(9-a)+a=90-10a+a=90-9a\\[/tex]

[tex]Now,\\We\ are\ given\ that,\\Original\ Number-9=Reversed\ number\\Or,\\Original\ Number-Reversed\ number=9\\Hence,\\9a+9-(90-9a)=9\\9a+9-90+9a=9\\18a=90\\a=\frac{90}{18}=5[/tex]

[tex]As\ a=5, b=(9-5)=4\\Hence,\\The\ original\ number=10a+b=10*5+4=50+4=54[/tex]


Related Questions

how to find future value?​

Answers

Step-by-step explanation:

FV=$1000×(1+0.1)5

try solving with this it might help you and if it did please make me brainliest plzzzzxx

"The future value (FV) at the end of one year equals the present value ($100) plus the value of the interest at the specified interest rate (5% of $100 or $5)."

Can someone please help

Answers

trapezoid is the most precise

WHAT IS DIFFERENCE BETWEEN SQUARE AND RHOMBUS JUSTIFY YOUR ANSWER

Answers

Answer:A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.

Step-by-step explanation:

Answer:

A square has all its angles equal to 90 degrees a rhombus has no 90 degree angles

PLEASE HELP ME on #57 WITH ALL WORK SHOWN!!

Tmr is my exam pls help...

Answers

Answer: x = 1/2

=========================================================

Explanation:

Recall that quadratic form is ax^2+bx+c.

So we need an x^2 term followed by an x term, then a constant at the end.

It may not look it, but the given equation is nearly in quadratic form.

Rewrite 9^(2x) as (9^x)^2

We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0

From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0

From here we can use the quadratic formula or factor. I'll factor.

w^2 - 2w - 3 = 0

(w - 3)(w + 1) = 0

w-3 = 0 or w+1 = 0

w = 3 or w = -1

---------------------

Now we use these values of w to find x

If w = 3, then,

w = 9^x

3 = 9^x

log(3) = log(9^x)

log(3) = x*log(9)

x = log(3)/log(9)

x = log(3)/log(3^2)

x = log(3)/(2*log(3))

x = 1/2

At the last step, we have the log(3) terms cancel.

Repeat for w = -1

w = 9^x

-1 = 9^x

log(-1) = log(9^x)

We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.

In short, w = -1 is extraneous so it doesn't lead to any x value solution.

So only w = 3 is useful.

Ultimately, the only solution is x = 1/2.

Enter the difference between the rates of change for these two functions.

Answers

Answer:   2

========================================

Explanation:

Let's find the slope of the graphed line

Use the slope formula on two points from the diagonal line. I'll pick the two points (-1,-2) and (0,2) to get

m = (y2-y1)/(x2-x1)

m = (2-(-2))/(0-(-1))

m = (2+2)/(0+1)

m = 4/1

m = 4

The slope of the graph is 4. This is the same as the rate of change for this graph.

-----------------

Repeat those steps for the data table

I'll pick the first two rows (0,-6) and (2,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-6))/(2-0)

m = (-2+6)/(2-0)

m = 4/2

m = 2

The slope, or rate of change, here is 2

-----------------

Now subtract the two slopes: 4-2 = 2

The answer is 2.

The difference between the rates of change for these two functions

is 2.

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

We know the slope(m) between the two points (x₁, y₁) and (x₂, y₂) is given by, m = (y₂ - y₁)/(x₂ - x₁).

The two coordinate points of the graph of the line are (0, 2) and (- 1, - 2).

slope(m₁) = (- 2 - 2)/(- 1 - 0).

slope(m₁) = 4.

Slope(m₂) = (- 2 + 6)/(2 - 0).

slope(m₂) = 2.

Therefore, The difference between the rate of change of the two functions is, m₁ - m₂ = 4 - 2 = 2.

learn more about slopes here :

https://brainly.com/question/3605446

#SPJ2

Maria had $100 at the beginning of summer vacation. She plans to mow lawns and charge $20 per lawn. Which graph could be used to determine the amount of money Maria will have after mowing 10 lawns if she saves all of her money?

Answers

Answer:

Line graph

Step-by-step explanation:

will give brainliest.
Which of the binomials below is a factor of this trinomial?
3x^2+16x+ 5

A- 3x-5
B. 3x-1
C. 3x+1
D. 3x+5

Answers

Answer:

option c

Step-by-step explanation:

The zeros of 3x+1

3x=-1

x=-⅓

plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor

3(-⅓)²+16(-⅓)+5

=0

What is the value of x in the solution of the system x+y=3
y=-6x+3

Answers

The answer is 9 your welcome nice day
the answer is 9 I hope I helped !!

Please do this because this is very hard for me

Answers

Answer:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

Step-by-step explanation:

Answer:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

Step-by-step explanation:

she is charged 460 dollars because she has to pay 20$ each year she doesnt pay

What is the value of the expression when a = -5 and c = -1?

Answers

Answer:

(8-5) + (16-1)=18

if a>0>b, show that 4a^2 - 5ab + b^2 >0

Answers

Do you have a image ?

Can someone please tell me the answers for this question

(I'll dm you the screenshots on Twitter)

Answers

Ooooooomkkkkkkkkkkkkk

50 points please help me with this. Dont spam random things. If your smart answer this please

Answers

Answer:

top one

Step-by-step explanation:

Answer: It's B.

Step-by-step explanation: this is 1st grade math. good luck!

please answer this question

Answers

Answer:

16%

Step-by-step explanation:

Add all of the dots together, you get 4/25 (the household of 3/total) and multiply top and bottom by same number. the bottom should equal 100. 25*4=100, 4×4=16. 16/100=16%

penny reads 12 pages an 1/4 an hour. what is the unit rate for pages per hour. for hour per pages

Answers

Answer:

She is reading 48 pages and hour.  12x4=48

Step-by-step explanation:

hiiiiiii hiiiiiiiii ji​

Answers

Heyy hi hi heyy hi hi

Answer:

hlo thanks for free points ❤️❤️

{(2,-2),(4,-2),(5,0),(5,2),(9,2),(9,4)} Domain: Range: Function:​

Answers

Answer:

Domain: {2,4,5,9}

Range: {-2,0,2,4}

Function: No

Step-by-step explanation:

Domain = x

Range = y

Domain: {2,4,5,9}

Range: {-2,0,2,4}

Function: No

Answer:

domain = { 2, 4, 5, 9 }

range = { -2, 0, 2, 4 }

function = one-to-many

Right answer gets brainlist

Answers

B is the answer I think

A savings account increases from $200 to $208. What is the percent increase of the
savings account?

Answers

Answer:

4%

Step-by-step explanation:

8/200 = 0.04

what is the biggest slime bubble idk why but yeah and pls answer

Answers

Answer:

there is alot of them

Step-by-step explanation:

I need to know the answer quick

Answers

Answer:

v = 13

Step-by-step explanation:

Truly hope I helped fast enough:).

A garden is in the shape of a square with a perimeter of 36 36 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 3 3 feet from the first fence on the outside. If the material used to build the two fences is $ 1.32 $1.32 per foot, what was the total cost of the fences

Answers

Answer:

$110.88

Step-by-step explanation:

Let L be the length of the first fence surrounding the garden and P its perimeter.

For a square, P = 4L,

So, L = P/4

Since P = 36 feet,

L = P/4

= 36/4

= 9 feet

Let L' be the length of the second fence. Given that second fence is 3 feet away from the first fence, it follows that L' = L + 3

= 9 + 3

= 12 feet.

So, the perimeter of the second fence is P' = 4L'

= 4 × 12 feet

= 48 feet.

So, the total length of the two fences is P" = P + P'

= 36 feet + 48 feet

= 84 feet

Since the cost of the material to build the two fences is $1.32 per foot, the total cost of the fences is cost per foot × total length of fences = $1.32 × 84 = $110.88

If the sum of the legs of a right triangle is 49cm and the hypotenuse is 41cm find the length of the two legs... without using guess or check.

Please show work

Answers

Answer:

I think 42

Step-by-step explanation:

Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.​

Answers

Answer:

The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.

[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]

What number should be included in the data set 9, 12, 8, 3, 11, 19, 23, 30, 21 if the range is 45?
a.46
b.-15
c.-3
d.39​

Answers

Answer:

b:-15

Step-by-step explanation:

There are 9 num in the set sowe add all the num and the we divide the answer we got

Answer:

The answer is:

b) - 15

Hope it helps:D

Using the laws of indices simplify 625^3/8 ×5^1/2÷ 25​

Answers

Answer:

1

Step-by-step explanation:

[tex] \huge {625}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div 25 \\ \\ = \huge {( {5}^{4})}^{ \frac{3}{8} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ = \huge{5}^{ \cancel4 \times \frac{3}{ \cancel8 \: \: \red{ \bold 2}} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} } \times {5}^{ \frac{1}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ \frac{3}{2} + \frac{1}{2}} \div {5}^{2} \\ \\ \huge= {5}^{ \frac{4}{2} } \div {5}^{2} \\ \\ \huge= {5}^{ 2 } \div {5}^{2} \\ \\ \huge= {5}^{ 2 - 2 } \\ \\ \huge= {5}^{ 0 } \\ \\ \huge= 1[/tex]

Find the sale price of the item. Round to two decimal places if necessary. Original price: $245.89 Markdown: 70% The sale price is
PLEASE ANSWER DUE IN 20 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$73.77

I'm not sure if I understood the question correctly

explain it in the comments

Step-by-step explanation:

If what I think the question is asking is correct, theres a 70% sale on the full price which is $245.89

70% of 245.89 is 172.123, so now you subtract the sale(172.123) from the original price(245.89)

245.89 - 172.123 = 73.767

If the question was asking a different thing explain it in the comments and I'll answer it for you

Order the numbers from least to greatest:
9/10 1/6 7/5

Answers

Answer:

1/6, 9/10, 7/5

Step-by-step explanation:

A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time. Stats question, I'm really struggling here. Please help me!

Answers

Answer: 165.78 < μ < 180.22

Step-by-step explanation: Confidence Interval of a mean is a method to estimate the true population mean, i.e., we can get an interval where the true mean exists.

A confidence interval is calculated as

x ± [tex]z\frac{\sigma}{\sqrt{n} }[/tex]

z is z-score for 99% confidence, which is: z = 2.58

Then, the estimate is

173 ± [tex]2.58\frac{28}{\sqrt{100} }[/tex]

173 ± 2.58*2.8

173 ± 7.224

lower limit: 173 - 7.224 = 165.78

upper limit: 173 + 7.224 = 180.22

The 99% confidence interval of the mean is between 165.78 and 180.22 and it means that the true mean of this population is between those numbers with 99% of confidence.

yo im timed please help!! at the top it says "car A is traveling east at a steady speed of 45 mph. after 2 hours it is 100 miles east of Johnstown . car B is traveling east on the same road. its distance east of Johnstown is represented by the graph" il give 20 more points if you're correct

Answers

Answer:

it could be C or a

Step-by-step explanation:

more likey c be sorry if it's wrong

Other Questions
help me please - it says it has to be 20 characters so im gonna type random asiydfbgquycisfiqbcfinn there we go can you help me with this question please Select all that apply. What are the types of personal letters? Ricardo borrows $1850 for 8 months at 12% interest.What is the amount he will pay back at the end of theloan period? How do you know? Gina will pay $14 for thefabric at a craft store. The tax rate is 8.5%. How much will she pay for her fabric including tax? what assumption can we make about people living in command economies 2x+4x -17y I need the answer please Maria made two batches of fruit punch. The table at the right shows how many quarts of juice she used for each batch. Write an equation that relates the proportional quantities. Convince Me! How does the equation change if the amount of grape juice is the independent variable, x, and the amount of apple juice is the dependent variable, y? A table with Apple Juice (x), Grape Juice (y) and Grape Juice/Apple Juice (y/x). The first row has x as 5 and y as 8. The second row has x as 10 and y as 16. In each row, the ratio of Grape Juice to Apple Juice is a blank to be filled. The constant of proportionality is . An equation that represents this proportional relationship is = Read the passage about the Titanic.Time and Place of Events during the Sinking of the Titanic4) 12:45 a.m. The first rocket is fired.5) 12:55 a.m. Fifth Officer Lowe bawls out the head of the steamship line.6) 12:55 a.m. Major Peuchen proves a yachtsman can be a seaman.7) 1:10 a.m. Mrs. Isidor Straus refuses to leave her husband.8) 1:20 a.m. Ben Guggenheim appears in evening clothes to go down like a gentleman.9) 1:25 a.m. Steward Ray remembers he persuaded a family to sail on the Titanic.A Night to Remember,Walter LordWhat organizational pattern does the passage follow?descriptionchronologicalcause and effectcomparison and contrast Liam puts $1500 in a savings account at an annual interest rate of 3%. If Liam does not withdraw or deposit any money, what is the interest that Liam will earn at the end of eight months?$15$60$30$360 Need help ASAP!! Find the unknown side of the triangle below.A.) 24.5 inB.) 13 inC.) 20 inD.) 25 in Create a Java program that takes input of a list of integers from the user, stores them into an array and then finally uses the array contents to output the list of integers in reverse. The user's input begins with the number of integers to be stored in the array. For coding simplicity, follow each output integer by a space, including the last one. Assume that the list will always contain fewer than 20 integers. Whats TWO Answer Giving Brainliest To first Correct AnSwEr:D......... HELP HELP PLEASE HELP!! What is possibly the authors message in Forbidden Fruit?For those of you who have read the short story!!I think it is A? or maybe B?I really need to get this correct. I thought it was A but i saw another brainly saying it might be B? A circular region has a population of about 250,000 people and a population density of about 125 people per square mile. Find the radius of theregion. Round your answer to the nearest hundredth.The radius of the region is aboutmiles ********************** Think about all the things that you have learned about wildfire in this module.In light of climate change, explain how this risk map might look different in 100 years. What is the balanced form of the equation C2H6 + O2CO2+H2O?- 2C2H6 + 7O24CO2+6H2O - C2H6 + O2CO2+2H2O- C2H6 + 3O22CO2+3H2O- C2H6 + 5O23CO2+5H2O Brainly gives me so many trust issues, especially when 2 people told you the same answer and you get it wrong GJKEGHG Is (x + 5) a factor of f(x) = x3 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.