10. The sum of the digits of a two digit number is 7. The number obtained by interchanging the digits exceeds the original number by 27 . find the number​

Answers

Answer 1

Answer:

Step-by-step explanation:

Let "ab" represent the digits of the number. The value of "ab" is 10a+b.

a+b = 7

The value of "ba" is 10b+a

(10b+a) - (10a+b) = 9b-9a = 27

b-a = 3

a+b = 7

b-a = 3

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

2b = 10

b = 5

a = 2

The number is 25.


Related Questions

x + x(x + y) + y; use x = 4, and y = 1

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{x + x(x + y) + y}[/tex]

[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]

[tex]\huge\text{= 4 + 4(5) + 1}[/tex]

[tex]\huge\text{= 4 + 20 + 1}[/tex]

[tex]\huge\text{= 24 + 1}[/tex]

[tex]\huge\text{= 25}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Hi,

we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1

equation: X + X (X + Y) + Y

equation after substituting the numbers: 1 + 1 (1 + 4) + 1

Bidmas rules apply.

expand the bracket first. 1 (1 + 4)=

1 X 1= 1

1 X 4= 4

1 + 4 = 5

then the equation becomes: 1 + 5 + 1= 7

your answer is 7 if you want to evaluate it.

your answer is 1 + 1 (1 + 4) + 1 if you need the equation.

, hope that helps :)

Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.

Help ASAP!

Answers

Answer: 20 times 2 equal 40/ 40 divided by 2 is 20

Step-by-step explanation: Both of them should help you find the answer

A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs 20. For what price did he purchase the T-shirt?​

Answers

Answer:

purchased it for 1600

Step-by-step explanation:

[tex].88x-y\:=\:-16\:\\\:.9x-y\:=\:20[/tex]

Write the equation of the graph shown below in factored form.

f(x) = (x − 2)2(x + 1)(x − 4)
f(x) = (x + 2)2(x − 1)(x + 4)
f(x) = (x + 2)2(x + 1)(x + 4)
f(x) = (x − 2)2(x − 1)(x − 4)

Answers

Answer:

(x+2)2(x+1)(x+4)

Because

x=-4. x=2. x=-1

(x+4). (x+2). (x+1)

Finance A bicycle shop hires road bikes for £25 per day and tandems for £40 per day. One day a family pays £155.
a Which type of bicycles did they hire?
b How many people are in the family?

Answers

Answer:

3 road bikes and 2 tandems

7 people

Step-by-step explanation:

25b + 40t = 155

b=3   and t = 2

Check

25*3  + 40*2 = 155

75+80 = 155

Assuming 1 person per road bike and 2 people per tandem

3*1 + 2*2 = 3+4 = 7

100 divided by 3.2 Thank u

Answers

Answer:

31.25

Step-by-step explanation:

125/4

= 31.25

Which equation represents a proportional relationship between
x and y?
A: k/x = y
B: k - x = y
C: k + x = y
D: k * x = y

Answers

Answer:

D: k*x=y

Step-by-step explanation:

a proportional relationship is basically a linear equation (y=mx+b)


What is the equation of the line?

Answers

X=3 is the equation of the line

Solve by factoring
6x^2 +13x -28 =0

Answers

Answer:

x=-7/2, x=4/3

Step-by-step explanation:

[tex]6x^2+13x-28=0[/tex]

Multiply 6 and -28 to get -168

Find 2 numbers that multiply to 168 but add to 13

They are 21 & -8

Rewrite the equation into:

[tex]6x^2+21x-8x-28=0[/tex]

Factor

[tex]3x(2x+7)-4(2x+7)=0[/tex]

(3x-4)(2x+7)=0

3x=4

x=4/3

2x=-7

x=-7/2

Please help solve this. 10points worth it

Answers

Answer:

The function is a growth function so I guess A, B and D

suggest a growth curve

Step-by-step explanation:

simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2

Answers

Answer:

I did this same answer on another app

hope this help☺️

Victor and Kelsey have identical sandwiches. Victor eats \frac{2}{5} of his sandwich. If Kelsey eats \frac{15}{8} as much as Victor does, what fraction of her sandwich did she eat?

Answers

Answer:10/5

Step-by-step explanation:

which of the following are remote interior angles of 5 ?

Answers

Answer:

The answer is B and C.

Answer: B AND C

Step-by-step explanation:

Remote interior angles are angles that are opposite from the exterior angles (5 in this case).

HURRY PLEASEEEEE!!!!!!

Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.

Answers

Answer:

24+p=t

Step-by-step explanation:

If he scored 24 points in the first half, and p in the next half, he scored a total of t points.

Use substitution to solve the following system of equations. What is the value of y?

Answers

Answer:

y = 6

Step-by-step explanation:

Use the second equation:

2x - y = 2 ⇒ y = 2x - 2

Substitute this into first equation:

3x + 4(2x - 2) = 363x + 8x - 8 = 3611x = 44x = 4

Now find y:

y = 2*4 - 2 y = 8 - 2y = 6

It is given that,

→ 2x - y = 2

Convert the equation as,

→ y = 2x - 2

First we should,

find the required value of x.

→ 3x + 4(2x - 2) = 36

→ 3x + 8x - 8 = 36

→ 11x = 44

→ [x = 4]

Let's find the required value of y,

→ y = 2x - 2

→ y = (2 × 4) - 2

→ y = 8 - 2

→ [y = 6]

Therefore, the value of y is 6.

Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____

Answers

Answer:

-2

(0, 1)

Step-by-step explanation:

Giveb the function :

F(x) = 3^x + 1 – 2

To obtain the asymptote, take the limit of f(x) as x as tends to ∞

3^(∞+1) - 2 = 0 - 2

Hence,

y = 0 - 2.

y = - 2

The y intercept, this is the value of y when x = 0

Hence, put x = 0

F(0) = 3^(0 + 1) – 2

f(0) = 3^1 - 2

f(0) = 3 - 2

f(0) = 1

Y - intercept = (0, 1)

Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]

Answers

Answer:

X is 11.8

Step-by-step explanation:

You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.

What is the average rate of change of the function over the interval x = 0 to x = 8?

f(x)=2x−1/3x+5
Enter your answer, as a fraction, in the box.

Answers

Answer:  13/145

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

Work Shown:

Plug in x = 0

[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(0) = \frac{2*0-1}{3*0+5}\\\\f(0) = \frac{0-1}{0+5}\\\\f(0) = -\frac{1}{5}\\\\[/tex]

Repeat for x = 8

[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(8) = \frac{2*8-1}{3*8+5}\\\\f(8) = \frac{16-1}{24+5}\\\\f(8) = \frac{15}{29}\\\\[/tex]

Now use the average rate of change formula

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(8)-f(0)}{8-0}\\\\m = \frac{15/29 - (-1/5)}{8}\\\\m = \frac{15/29 + 1/5}{8}\\\\m = \frac{(15/29)*(5/5) + (1/5)*(29/29)}{8}\\\\m = \frac{75/145 + 29/145}{8}\\\\[/tex]

[tex]m=\frac{104/145}{8}\\\\m = \frac{104}{145} \div \frac{8}{1}\\\\m = \frac{104}{145} \times \frac{1}{8}\\\\m = \frac{104*1}{145*8}\\\\m = \frac{104}{1160}\\\\m = \frac{13}{145}\\\\[/tex]

In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.​

Answers

Answer:

please translate to English for fast response

Answer:

∡AEF=45°

Step-by-step explanation:

AB=CD ⇒

arcele AB=AC (la coarde egale corespund arce egale)⇒

arc(AB)+arc(BC) = arc(BC)+arc(BD)  (descompunerea arcelor AB si AC)⇒

arc(AC)=arc(BD) ⇒

∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒

ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒

[EA]≡[ED], dar si [OA]≡[OD]   (OA si OD raze ale cercului)⇒

EO e mediatoarea  [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒

[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒

∡AEF=45°

Solve for x. Enter your answer using digits. 4x−14+6=12 x=

Answers

Answer:

x = 5

Step-by-step explanation:

Given

4x - 14 + 6 = 12 , that is

4x - 8 = 12 ( add 8 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

4x-8=12 (-8= -14+6)
4x= 12+8
4x=20
x=5

here u go and please give me brainliest if you can :)

You can
Figure A to map it onto Figure Din a single transformation."

1.answers
2.rotate
3.reflect
4.translate
5.dilate

Answers

Answer: a

Step-by-step explanation:

A ski instructor earns $997.50 for a 35-hour week. What is her hourly rate of pay?

Answers

Answer:

$28.5

Step-by-step explanation:

997.50 divided by 35 = $28.50 is their hourly rate of pay.

Rewrite 4/6 : 1/3 as a unit rate.

A. 12:6
B. 12:1
C. 2:1
D. 2/9

Answers

Answer:

C

Step-by-step explanation:

(4/6) : (1/3), multiply by 3 both sides

(4/2) : 1 = 2:1

Answer:

A. 12:6

Step-by-step explA. 2

SE MULTIPLICA 4X3 Y 6X1

[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]

Answers

Factor√x²+5x+3+2x²+10x-15=0√x²+2x²+5x+10x+3-15=0√3x²+15x-12=0√3x²+(3(5x)+3×-4=0√3(x²+5x)+3×-4=0√3(x²+5x-4)=0

please mark this answer as brainlist

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=3

Step-by-step explanation:

I suggest getting this app called photo math, it will help you soo much.

Answer:

x = 3

Step-by-step explanation:

4 (x - 1 ) + 4x -1 = 19

solve the brackets first

4x - 4 + 4x -1 = 19

4x + 4x -4 -1 = 19

8x -5 = 19

8x = 19+5

8x = 24

x = 24/8

x = 3

witch is equivalent to 3x+5+7x+2
1. 17
2. 15x+2
3.10x+7
4. 17x

Answers

Answer:

option 3

Step-by-step explanation:

Given

3x + 5 + 7x + 2 ← collect like terms

= (3x + 7x) + (5 + 2)

= 10x + 7 → option 3

According to the question

=3x + 5+7x + 2

Combining Like terms

= (3x + 7x) +(5+2)

= 12x + 7

Therefore the correct option is third

10x + 7

Answered by Gauthmath must click thanks and mark brainliest

Express -5/8 as a rational number with -24 as the denominator​

Answers

Answer:

Step-by-step explanation:

Hello!

-5/8 = (-5*-3)/ (8*-3) = 15/-24

Correct answer gets brainliest and 5 stars

Answers

Answer:

16 ft

Step-by-step explanation:

Slant Height=sqrt(Radius^2+Height^2)

Height=sqrt(20^2-12^2)=sqrt(256)=16 ft

Mark all the statements that are true please help

Answers

Step-by-step explanation:

the correct answer is option c

At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon

Answers

Answer:

The salon would've made $1,240.

Step-by-step explanation:

Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:

Revenue = 100(first visit) + 30(second visit) + 10(third visit)

And now, we just solve:

r = 100(10) + 30(6) + 10(6)

r = 1,000 + 180 + 60

r = $1,240

Other Questions
proportional linear relationships can be represented in how many different forms What is the measure of angle WZY? 54.5 71 125.5 180 Find the length of CZA. 32B. 45C. 9D. 1 Circle the equation of a straight line that does not intersect the curve y = x2(1 my = 5X=-3y = 2x - 5y= -3x + 1 legal advisor and marketing researcher are examples of what are the two points in the image and what is the midpoint? How many of you that how mom and dad are called in nepali. click the image below to find out the question. Richard rides a bike on a road sloping downward and inclined at an angle of 30 with the horizontal. If he moves at a constant speed of 10 meters/second, calculate his vertical downward velocity. The Goose with the Golden Eggs One day a monkey went to the nest of his Goose and found there an egg all yellow and glittering. When he took it up it was as heavy as lead and he was going to throw it away, because he thought a trick had been played upon him. But, on second thought, he took it home and soon found to his delight that it was an egg of pure gold. Every morning the same thing occurred, and he soon became rich by selling his eggs. As he grew rich he grew greedy; and thinking to get at once all the gold the Goose could give, he killed it and opened it only to find nothing. What is the moral of the Story?Explain how your answer relates to the story: Receptor eltrico 5 pontos Dispositivo que converte energia eltrica em outra forma de energia, no exclusivamente trmica. Exemplos: motores eltricos, ventiladores, liquidificadores, geladeiras, aparelhos de sons, vdeos, celulares, computadores? The sum of a father's and his son's age is 60. Eight years ago, the father's age was 3 times that of his son. How old is each of them? recognizing forms of energy Erosion and deposition constantly change Earths surface. Erosion carries natural materials like rock and soil from one place to another. Through deposition, these natural materials may be deposited in areas where they build up over time.Which landform results from the deposition of materials in a valley during volcanic eruptions?A.sillB.mud potC.calderaD.lava plateau(Science) based on the 1:2:1 proportions of carbon, hydrogen and oxygen, it can be determined that a glucose molecule is a what is the y-intercept of the line shown below?A:3/4B:2C:3D:4 Please answer the question that is attached below The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages. Is this sentence: "It'll arrive unassembled" correct in grammar? I thought it should be adv instead of adj, I mean the world "unassembled" is an adj in this sentence.Thanks for helping me. Dr. Smith has prescribed an antianxiety drug to help his client reduce her fear of crowds. Dr. Smith is using