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

BRAINLIEST TO RIGHT ANSWER! PLEASE HELP!

Answers

Answer:

y=2/3x-6

Step-by-step explanation:

Slope is 2/3

y-intercept is -6

Given: ABCD is a rhombus. Prove: △AEB is a right triangle.

Answers

Answer:

Step-by-step explanation:

∵ ABCD is a rhombus

∴ AC is ⊥ on BD

∴ ΔAEB is right angled triangle

A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool? Explain or show your reasoning.

Answers

Answer:

2

Step-by-step explanation:

the area of the radius 30 is 2827 and since 1 bucket can cover 1800 we will only need 2 buckets because we need a total of 2827 and 1 bucket covers 1800 so 2 buckets will cover 3600.

The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2 and this can be determined by using the unitary method.

Given :

A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet.

First, find the value of the area of the bottom of the pool. And it can be determined by using the below formula:

[tex]\rm Area = \pi r^2[/tex]

Area = 2827.43 square feet

Now, if one gallon of paint covers 300 square feet then 2837.43 square feet area covers by:

[tex]=\dfrac{2827.44}{300}\times 1[/tex]

= 9.43 gallons of paint

So, to cover the whole bottom area of the pool with paint then the amount of paint required is 9.43 gallons.

Now, if one can contain 5 gallons of paint then 9.43 gallons of paint is contained by :

[tex]=\dfrac{9.43}{5}[/tex]

= 1.886 [tex]\approx[/tex] 2

The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2.

For more information, refer to the link given below:

https://brainly.com/question/23368125

what is the square root of 10 is the most possible and is 5 used to divide 25​

Answers

Answer:

√10 = 3.162

Step-by-step explanation:

The square-root of 10 is;

√10 = 3.162

A number divided by 5 has its last digit as 0 or 5

In this case 25/5 = 5   and the √25 = 5

Only right answer please I need help

Answers

the answer is 4 !!!!!!!!

If 8 is added to a number and the sum is divided by 3, the result is 12, find the number. (a) 28 (b) 38 (c) 20 (d) 10

Answers

Answer:

a(28)

Step-by-step explanation:

28+8=36

36/3=12

Answer:

a) 28

Step-by-step explanation:

28+8=36

36/3=12

GIVING BRAINLIEST!
Please define the following in your own words:

law of conservation of matter

Answers

Answer:b

Step-by-step explanation:

6th grade math i mark as brainliest​

Answers

Answer:

There are 5 terms

Step-by-step explanation:

each number is its own term

which has the least result? A. 3/4-3/4 B. 3/4+3/4 C. -3/4 + 3/4 D. -3/4-3/4?

Answers

Answer: D

Step-by-step explanation:

The solution to both A and C would total to about 0. Also, in B both numbers are positives, so that would also be out of the case. If you are looking for the least value, the answer would be D since -3/4 -3/4 would equal -1.5, (or -1 1/2). Therefore, your answer would be D.

Hope that helps :D

Answer:

D. -3/4 - 3/4

Step-by-step explanation:

A. 3/4 -3/4 = 0

B. 3/4 + 3/4 = 1 1/2

C. -3/4 + 3/4 = 0

D. -3/4 - 3/4 = -1 1/2

Can anyone help me with this problem? It's a review.
You can ignore the other questions I just need help on this one.

Answers

Answer:

The point (0,-2) is the solution to the problem. Substitue 0 into x, the answer is -2 which matches f(x), or y value.

Step-by-step explanation:

PLEASE HELP ASAP!!!!!!!!

Answers

Yeah what that guy said above me

HELP

Identify the property: Adding 0 to any number leaves it unchanged. For example 5+0=5.

Answers

Answer:

additive identity

Step-by-step explanation:

additive identity. I don't really know how to explain it. There is just a fact

Answer:

additive identity

Step-by-step explanation:

that is the answer

help with question 1 plssssss

Answers

its answer comes in point

Step-by-step explanation:

3a+5a+12=90

8a=90-12

8a=78

a=78/8

a=9.75

if it is wrong than tell me plzzz

Solve for u.
1- u = 235​

Answers

Answer:

-234

Step-by-step explanation:

1-235=-234

Answer:

Step-by-step explanation:

1-u=235  subtract the 1 from both sides

-u=234  divide by -1

u= -234

whats a rational number

Answers

Answer: A rational number is a number that can be express as the ratio of two integers. Likewise, any integer can be expressed as the ratio of two integers, thus all integers are rational.

Example:17 and −34 are rational numbers

I don't understand. ​

Answers

Answer:

Addition property of equality.

Step-by-step explanation:

You are adding something to both sides of the equation.

Answer:

Addition property of equality

Step-by-step explanation:

5. The scale on the map of a park is 5 in.: 3 mi. The distance from the entrance of the park to the playground is 9 miles. How many inches long is the distance on the map?​

Answers

Answer:

15 inches

Step-by-step explanation:

Here, we have a scale of 5 inches to 3 miles

We have 9 miles here, we now want to get the amount of corresponding inches

Let the corresponding inches be x

5 inches to 3 miles

x inches to 9 miles

That means ;

x * 3 = 5.* 9

x = 45/3

x = 15 inches

A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?​

Answers




303.24

have a great day!!

Answer:

Around 300 pounds

Step-by-step explanation:

Giving brainlest plz help me fast!!! I know this is physics but its also math (Look its math in science ok)


Interpreting Velocity vs Time Graphs

A graph titled velocity versus time has horizontal axis time (seconds) and vertical axis velocity (meters per second). A line has 3 straight segments. Line segment A runs from 0 seconds 0 meters per second to 4 seconds 40 meters per second. Then segment B runs to 9 seconds 40 meters per second. Then segment C runs to 10 seconds 10 meters per second.


Use the graph to determine acceleration and velocity.


Which segments show acceleration?




What is the velocity of segment B?



Choices for the first question:


A. A and B


B. A and C


C. B and C


Choices for the second question:


A. 8 m/s


B. 10 m/s


C. 40 m/s


D. - 40 m/s

Answers

Answer:

The velocity is being plotted. The velocity value indicates how fast the object is moving.

Step-by-step

C on the first one and C on the second one lol

Give brainlest PLZZZ

Answer:

its b to 9 seconds 40 meters per second

Step-by-step explanation:

the test was right

Select the values that makes the inequality -w≥ 7 true. Then write an equivalent inequality, in terms of w

Answers

The values of [tex]w[/tex] that make the inequality [tex]-w\ge7[/tex] true are

[tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. An equivalent inequality, in terms of [tex]w[/tex], is [tex]w\le-7[/tex]

To get the values that make the inequality true, we have to solve the inequality for [tex]w[/tex]. This will also give an equivalent inequality in terms of [tex]w[/tex]

[tex]-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7[/tex]

the solution set is the set of values [tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. In other words, [tex]w[/tex] can take up values less or equal to [tex]-7[/tex] to make the inequality  [tex]-w\ge7[/tex] true

Also, the inequality equivalent to [tex]-w\ge7[/tex] is [tex]w\le-7[/tex]

Learn more about solving inequalities here https://brainly.com/question/12306534

consider the equation 2,900=250+132.50T in this situation, what does the solution to this equation tell us?

Answers

Answer:

value of T = 20

Step-by-step explanation:

[tex]2900=250+132.50T\\2900-250=132.50T\\2650=132.50T\\2650/132.50=T\\20=T[/tex]

If this is the whole question so we can say that the value of T is 20 if there is more to the question than it help us tell what T signifies other than that it's just a plain value.

There are so many little things that go into organic farming and each of them adds additional costs. Some of these additional costs are listed in the article located here. Use the data table at the end of the document to answer the questions. Which cost category in the table shows an example of direct variation? The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? What would be the total cost for office expenses for 24 months?

Answers

Answer:

1) Weed-Hand (the 3rd option)

2) y=63x (the 2nd chose option)

3) $1,512.00 ( the 1st option)

Step-by-step explanation:

i just did it on Edg. i hope this was helpful

Answer:

1) Weed-Hand (the 3rd option)

2) y=63x (the 2nd chose option)

3) $1,512.00 ( the 1st option)

Step-by-step explanation:

3 1⁄3 × 2 3⁄4 × 1 1⁄5 =

Answers

[tex]3 \frac{1}{3} \times 2 \frac{3}{4} \times 1 \frac{1}{5} [/tex]

[tex] \frac{10}{3} \times \frac{11}{4} \times \frac{6}{5} [/tex]

[tex] \frac{10 \times 11 \times 6}{3 \times 4 \times 5} [/tex]

[tex] \frac{660}{60} [/tex]

[tex] \frac{66}{6} [/tex]

[tex]11[/tex]

Answer:10/3 x 11/4 x 6/5

2/3x11/4x6 2x11/4x2 11/2x2=11

Step-by-step explanation:

9+3.5g=11−0.5g9, plus, 3, point, 5, g, equals, 11, minus, 0, point, 5, g
g =

Answers

Answer:

g = 1/2

Step-by-step explanation:

Here, we want to calculate the value of g from the given equation

9 + 3.5g = 11-0.5g

11-9 = 0.5g + 3.5g

2 = 4g

g = 2/4

g = 1/2

Answer:

1/2

Step-by-step explanation:

URGENT!!!!!!!!!! PLEASE HELP!!!

Answers

Answer:

F' would be (5,2)

G' would be (0,2)

H' would be (0,6)

hope this helps!

will give brainliest :)

Answers

i think the one you had selected

hope i helped

At the recommendation of his veterinarian, Xavier decides to place his cat on a diet. His cat's original weight was 19.4 pounds. After Xavier put his cat on a diet, the cat lost weight at a constant rate. The table below shows the cat's weight, w, and the months, m, since he began his diet. Months Weight (lb.) 1 18.26 2 17.12 3 15.98 4 14.48 Which equation models the cat's weight after m months?

Answers

Answer:

w=1.14m-19.4

Step-by-step explanation:

m = months, the cat loses 1.14lbs per month. plus the cat started with 19.4 pounds. each month 1.14 is being subtracted from 19.4

pls help asap!! this is due really soon

Answers

Answer:

EF=20

Step-by-step explanation:

EF is midsegment of the triangle so the equation is

AB/2=EF

7x-2/2=2x+8

7x-2=4x+16

7x-4x=16+2

3x=18

x=18/3

x=6

EF=2×6+8

=12+8

=20

what is 3085 divided by 2 with the remainder

Answers

Answer:

1542 1/2

Step-by-step explanation:

Answer:

1542.5

Step-by-step explanation:

1542.5 can be in one group and the other 1542.5 can be in another group.

a scientist is studying the growth of bacteria the bacteria double every 20 min if there are 5 bacteria at the beginning how many bacteria will be there in 2 hours?

Answers

Answer:

15,625

Step-by-step explanation:

2h=120m

120/20 = 6

5^6 = 15,625

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