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

Tanner measured the rate of oil draining from a tank. His measurements showed that the relationship betwđen the height (in inches) of the oil in the tank, h,
and the time in minutes) that the oil was draining, t. could be modeled by the equation h = 8 -0.25t.
According to the model, how long will the oil need to drain for the height to decrease by 1 inch?
0.25 minutes
1 minute
4 minutes
8 minutes

Answers

Answer:

8

Step-by-step explanation:

A school is purchasing new athletic uniforms for the basketball team. Each uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends $830.00 on the order, how many uniforms, did they purchase? Write an equation and explain how you used it to find your answer​

Answers

jo jo mera padha ye lhika huwa uski bhen randi aur uski ma maha randi

Answer:

They bought 15 uniforms

Step-by-step explanation:

Equation-

50x + 80 = 830

Subtract 80 from both sides

50x = 750

Divide both sides by 50

x = 15

♦⭐Will mark brainliest⭐♦
Solve for x. 2/5x=6/5
A. x = 12/25
B. x = 12/5
C. x = 3
D. x = 6

Answers

Answer:

C. X = 3

Step-by-step explanation:

Multiply both sides by 5 to remove fractions

2x = 6

divide by 2

x = 3

What is the measure of DC?

1. 61
2. 119
3. 122
4. 360

Answers

Answer:

61 it is because it is in first

{Stop scrolling} this is not a question but I just wanted you to know that you are doing absolutely amazing and I am extremely proud of you:) Ik school can be stressful but just know that you got this loves <3

I love u ♥️

Answers

Thanks. I’m not struggling or anything but thanks for the kind words.

Answer:

Ty :D

Step-by-step explanation:

School is hard

Simplify (write in the smallest terms) the following expressions using the laws of exponents and distribution.:))) I WILL GIVE BRAINLIST: )))​

Answers

Answer:

What is the equation without it I would say it is g or e

Step-by-step explanation:

Melanie is making lemonade for a family barbecue. Her recipe which yields 1 pitcher contains 6 cups of water, 2
cups of sugar and 1 cup of lemon juice. If she wants to make 3 pitchers of lemonade, how many cups of sugar
will she need?

Answers

Well for 1 pitcher of lemonade she needs atleast 2 cups, so if she were to make 3 pitchers that would be 2 cups for each pitcher. Solution is to just multiply 2cups to the number of pitchers:

2cups x 3 pitchers = 6 cups

Melanie would need 6 cups of sugar if she were to make 3 pitchers of lemonade. :))

Use the Distributive Property to write an equivalent expression.

7m + 7p

Answers

Answer:

7(m+p)

Step-by-step explanation:

7 (m + p) is the answer

HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point) ​

Answers

The one ur selecting is the correct one!

The tables represent the functions f(x) and g(x).

Which input value produces the same output value for the two functions?

x = –12
x = –9
x = –6
x = –3

Answers

Answer:

x = -6 has the same output for both functions

Step-by-step explanation:

Here, we want to get the x value that has the same y-value for both functions

We can simply get this by substituting

Let’s take it one after the other

if x = -12

f(x) = 2/3(-12) + 7

= -8 + 7 = -1

2(-12) + 15 = -9

This is incorrect

for x = -9

g(x) = 2/3(-9) + 7

= -6 + 7 = 1

f(x) = 2(-9) + 15 = -3

for x = -6

g(x) = 2/3(-6) + 7 = 3

f(x) = 2(-6) + 15 = 3

So as we can see our answer is x = -6

In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.

Answers

The final score of the basketball game is  (54, 63).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, They only scored 6 points for every 7 points the visiting team scored

and they differ by a total of 9 points.

Therefore, The final score would be 6×9, 7×9.

= (54, 63).

If we take the difference between 63 and 54 it would be 9.

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6. Which graph best represents the solution set of y>3 x-4?

Answers

pictures of the graph ? it should look like this (mark brainliest if correct pls)

The required graph of the solution to the given inequality y>3 x-4 has shown.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given inequality,
y > 3x-4

Illustrating the above inequality on the coordinate plane, the yellow shaded region shows the solution of the given inequality y > 3x-4.

Thus, the required graph of the solution to the given inequality y>3 x-4 has shown.

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can someone solve a - 3 over 7 s = -8


and a + 24 = -15

STEP BY STEP PLEASE.

Answers

Answer:

a=-39; s=0.75

Step-by-step explanation:

Solve the System of Equations by Substitution.

First, solve one of the equations for a variable. I'll do the 2nd one because it only has one variable.

a+24=-15 -------> a=-39

Now we know what a is just plug it back into the other equation and get s.

[tex]\frac{a-3}{7s} =-8[/tex]

[tex]\frac{-39-3}{7s} =-8[/tex]

[tex]\frac{-42}{7s} =-8[/tex]

Switch the -8 and 7s

[tex]\frac{-42}{-8} =7s[/tex]

Simplify the fraction

5.25=7s

Divide by 7 to isolate the s

0.75=s

 

Answer:

2)a+24=-15

a=-15-24

a=-39

Step-by-step explanation:

Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.

What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answers

Answer:

I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)

Step-by-step explanation:

Plsss help meeeeeeeeeeeee

Answers

Answer:

x = 8

y = 14

Step-by-step explanation:

It's given in the question,

ΔABC ≅ ΔDEF

Therefore, by the property of congruence,

EF = BC, AB = ED and AC = FD

And m∠E = m∠B

Since, m∠E = m∠B

(6y - 4) = 80

6y = 80 + 4

6y = 84

y = 14

Since, AB = ED

10 = 3x - y

10 = 3x - 14

3x = 24

x = 8

Mrs. Cohen has 950 pencils and she has 2 huge boxes, how many pencils is in each box?

Answers

Answer:

475 pencils in each box

Step-by-step explanation:

950/2= 475

Youd divide 950 by 2 where 2 represents the 2 boxes

In a science test. Devi scores 16 marks more than Ali. lf
Devi obtains twice as many marks as ali find the marks Ali obtains.​

Answers

Let the marks of Devi be x and Ali be y.

So, the equations:

2y = x and y + 16 = x

So,

2y = y + 16. [ because we know equals are equal to equals]

=> 2y - y = 16

=> y = 16

Check

Ali's marks are half of Devi's marks.

Devi's marks are 16 more than alis.

So, Devi's marks will be 16×2 = 32 and 32 is 16 greater than 16 (16+16=32).

Your answer must be simplified.

−3 < x -10

Answers

Answer:

7 < x

Step-by-step explanation:

−3 < x -10

Add 10 to each side

−3+10 < x -10+10

7 < x

what is the birthday polynomial project for 05/11/2004?

Answers

Answer:

OBJECTIVE: To create, characterize and graph a polynomial function that reflects you!

PROCESS:

1. Write, IN ORDER, the digits of the month (1 or 2 digits), day (1 or 2 digits), and year (4 digits) of your birthday.

For example, April 2, 1976 could be “421976” or “4021976”. Use must use 6, 7 or 8 digits.

2. Create a polynomial using your digits, in order. Again, for example, my polynomial could be:

() = 4

5 + 2

4 − 1

3 − 9

2 + 7 −6 or

() = 4

6 + 2

4 − 1

3 − 9

2 + 7 − 6

*notice in the second example, the 0 eliminated the 5th degree term

**if your birth year is 2000, you may change your constant term (the “lagger”, which is the 6 in my

equation) to your favorite number, instead of 0.

3. Experiment with the shape of your birthday polynomial by changing the signs (+/-) of various terms in your

calculator. Try to create a polynomial function with an interesting shape and some turning points. Be creative!

You’re trying to express yourself in this graph!

*notice the change in the 2 graphs

below by just changing 3 positive

signs to negative!

4. Analyze your polynomial (using your calculator)

by finding these characteristics:

a. Roots (x-intercepts)

b. Y-intercept

c. Relative minimums and maximums

d. End behavior

e. Points (x, y)

PRODUCT: Make a presentation of your polynomial. Be creative! Be colorful! Be neat! Be artistic and ACURATE! Just

meeting the basic requirements will earn you a 90% (at most). At a minimum, your presentation should include a visual

representation of the graph of your polynomial and should also include the following:

□ The statements: My Birthday is ________________

My Birthday Polynomial is ______________________.

□ A T-chart with 10 (x, y) points

□ All Roots (labeled on graph and values)

□ Y-intercept (labeled on graph and value)

□ Relative Maximum and Minimums (labeled on graph and values)

□ Sentence description of end behavior and why this occurs

ASSESSMENT: Your project will replace lowest MID-CHAPTER QUIZ (30 points). You will be graded on completion of all

requirements and accuracy of graph and values. Additional points (90% and above) will be awarded for creativity and

effort.

YOUR PROJECT IS DUE WEDNESDAY, DECEMBER 2. ABSOLUTELY NO LATE PROJECTS WILL BE ACCEPTED. PLEASE FEEL

FREE TO EMAIL ME OVER THE BREAK IF YOU HAVE QUESTIONS… HAVE A GREAT THANKSGIVING HOLID

Step-by-step explanation:

The birthday polynomial for the date 05/11/2004 is 20040511.

The birthday polynomial is a mathematical concept that assigns a unique polynomial to a specific date, typically represented in the format MM/DD/YYYY.

To construct the birthday polynomial for a given date, follow these steps:

1. Write the date in the format MM/DD/YYYY.

2. Rearrange the numbers in reverse order, i.e., YYYY/MM/DD.

3. Remove any slashes or separators between the numbers.

To construct the birthday polynomial for the date 05/11/2004, follow these steps:

1. Write the date in the format MM/DD/YYYY: 05/11/2004

2. Rearrange the numbers in reverse order: 2004/05/11

3. Remove the slashes: 20040511

Therefore, the birthday polynomial is 20040511.

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plz help i will mark you as brainlist

Answers

Answer:

C. Six is to the left of the zero and negative six is to the right.

Step-by-step explanation:

Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.

I’m pretty sure it’s A

what is the slope..​

Answers

Answer:

the slope is 2

Step-by-step explanation:

the x's are increasing by 4 each time and the y's are increasing by 2 each time giving you [tex]\frac{4}{2\\}[/tex] which simplifys to 2

Natalia bought 888 glitter wands for \$50$50dollar sign, 50.
Determine whether or not each wand purchase below has the same price per wand as glitter wands.

Has the same price per wand as glitter wands
Does not have same price per wand as glitter wands
444 sparkle wands for \$20$20dollar sign, 20
666 fairy wands for \$37.50$37.50dollar sign, 37, point, 50
101010 glow wands for \$65$65dollar sign, 65

Answers

9514 1404 393

Answer:

  6 for $37.50 has the same price

Step-by-step explanation:

The price per wand is found by dividing the price by the number of wands.

  8 for $50   ⇒   $50/8 = $6.25 per wand

__

  4 for $20   ⇒   $20/4 = $5.00 per wand   not the same

  6 for $37.50   ⇒   $37.50/6 = $6.25 per wand   is the same price

  10 for $65   ⇒   $65/10 = $6.50 per wand   not the same

determine the slope of the table

Answers

Answer:

The slope is -1/2 or -0.5

Hope this helps!

Answer:

The slope is 5

Step-by-step explanation:

if you add 2 to -3 then you get your answer

Is this correct? Please Help!

Answers

Yes it’s correct I think

what’s the answer did anyone figure it out ?

Answers

Answer:

NAswer to what

Step-by-step explanation:

What answer |o| idek what u talking about

someone please help me with this work

Answers

Answer:

-34degrees

Step-by-step explanation:

help Please ill give branliest.

The juniors and seniors at a high school are ordering class shirts. The amounts ordered in each size are shown in the two-way frequency table below.


Small Medium Large X-Large Total
Juniors 65 84 68 23 240
Seniors 51 62 79 28 220
Total 116 146 147 51 460
Which statement is true about the information represented in the table?

A The percentage of Seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt who are also in the Senior class.
B The percentage of Seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt who are also in the Senior class.
C The percentage of Juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt who are also in the Junior class.
D The percentage of Juniors who ordered a medium shirt is less than the percentage of students who ordered a medium shirt who are also in the Junior class.

Answers

Answer:

it b

Step-by-step explanation:

To determine which statement is true, we need to calculate the percentages for each option and compare them and option c is correct.

Option A: The percentage of Seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt and are also in the Senior class. To calculate the percentage of Seniors who ordered a large shirt, we divide the number of Seniors who ordered a large shirt by the total number of Seniors:

Percentage of Seniors who ordered a large shirt =[tex](79 / 220) * 100 = 35.91[/tex]% To calculate the percentage of students who ordered a large shirt and are also in the Senior class, we divide the number of Seniors who ordered a large shirt by the total number of students who ordered a large shirt: Percentage of students who ordered a large shirt and are also in the Senior class [tex]= (79 / 147) * 100 = 53.74[/tex]% Since the percentage of students who ordered a large shirt and are also in the Senior class is greater than the percentage of Seniors who ordered a large shirt, statement A is false.

Similarly, we can calculate the percentages for the other options: Option B: The percentage of Seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt and are also in the Senior class. Percentage of Seniors who ordered a small shirt [tex]= (51 / 220) * 100 = 23.18[/tex]% Percentage of students who ordered a small shirt and are also in the Senior class [tex]= (51 / 116) * 100 = 43.97[/tex] % Since the percentages are not the same, statement B is false.

Option C: The percentage of Juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt and are also in the Junior class. Percentage of Juniors who ordered a medium shirt [tex]= (84 / 240) * 100 = 35[/tex]% Percentage of students who ordered a medium shirt and are also in the Junior class [tex]= (84 / 146) * 100 = 57.53[/tex]% Since the percentage of students who ordered a medium shirt and are also in the Junior class is greater than the percentage of Juniors who ordered a medium shirt, statement C is true.

Hence the correct option is C.

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ahhahanvm? shushaha bruh what do i do

Answers

Uh I’m not even gonna question it but thanks for the free points ig? Lol

\u gotta ask ur question

Step-by-step explanation:

-= 20 Points For this Question! =-

First Question: Find an equation of the line with slope 3 that contains the point (-7, 11).

Second Question: Find an equation of the line with slope 3/5 that contains the point (10, -6).

Answers

Okay i’m pretty sure the first one is y=3x-10 and the second one is y=3/5x+0

find the value of x round to the nearest tenth

Answers

Answer:

88.2

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relation ...

 Tan = Opposite/Adjacent

 tan(10°) = x/500

 x = 500·tan(10°)

 x  ≈ 88.2 . . . . units

_____

cr sqdancefan on brainly , i saw that the same question was posted somewhere else and someone already answered it .

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