A number between 10 and 100 is 8 times the sum of its digits. If 45 is substracted
from it, the result equals the number formed by interchanging its digit. Find the
number

Answers

Answer 1

Answer:

72

Step-by-step explanation:

Let the number be [tex]xy[/tex]

Value of number = [tex]10x+y[/tex]

[tex]10x+y=8(x+y)[/tex]

[tex]10x+y=8x+8y[/tex]

[tex]2x-7y+0........(1)[/tex]

[tex]10x+y-45=10y+x[/tex]

[tex]9x-9y=45[/tex]

[tex]x-y=5............(2)[/tex]

Multiply by [tex]-2[/tex]

[tex]-2x+2y=-10[/tex]

Add to [tex](1)[/tex]

[tex]-5y=-10[/tex]

[tex]y=2[/tex]

[tex]x-y=5[/tex]

[tex]x-(2)=5[/tex]

[tex]x=7[/tex]

Number = 72

hope this helps...


Related Questions

Solve for w.

37.5=3w

w=?

Answers

Answer:
w=12.5
Hope this helps :)
W=12.5 because when dividing on both sides by 3 to isolate the variable you get the answer

evaluate 9^-1/2
help

Answers

Answer:

1 /3

Step-by-step explanation:

We know that a^-b = 1/a^b

9^-1/2 = 1/9^1/2

The sqrt (9) =3

1 /3

i need help with my math please help me understand. Itook a picture of it.

Answers

Answer:

1/3 x 1/3 x 1/3(volume of small cube) = 1/27

2/3 x 7/3 x 4/3(volume of figure shown) = 2 2/27

Now we divide to see how many cubes can fit.:

2 2/27(make improper fraction) divided by 1/27 = 56 small little cubes can fit.

Ill mark you brainlist plz help if you put something random I will report you! I

Answers

Answer:

x = 0

y = 2

Step-by-step explanation:

x = 0
y = 2
hope this helped !

help please due today please please please please please please please please please please please please please please please please please please please please please please​

Answers

Answer:

10/11×99=90

Step-by-step explanation:

10/11×99=90

20/20×99=99

12/7×99=169 5/7

16/15×99=105 3/5

Answer:

90, 99, 5/7, 3/5

Step-by-step explanation:

hope it helps!

which situation could be modeled by the expression 3/4 ÷ 2 1/4?

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Find The Value of x to the nearest degree.

Answers

Answer:

Step-by-step explanation:

sin(x) = opposite over hypotenuse

= 3/(3sqrt(2))

= 1/sqrt(2)

= sqrt(2)/2

x = arcsin( sqrt(2)/2 )

= arcsin( sqrt(2)/2 )

= 45°

Here is a picture of three towers.
Not all the cubes can be seen in the towers.



Edith uses 1 cube to build tower 1.
Edith uses 6 cubes to build tower 2. There are 5 cubes on the bottom layer.

The sequence below shows the number of cubes used for the bottom layer of each tower.

Answers

Answer:

nth term = the previous number times 4(x-1)

Step-by-step explanation:

As you see the first tower has 1 then it is 5 for the next tower and then it is 13 for the next tower and then 25. Well this means that as you see, the expressions adds 4 to the previous 4 and then adds to the tower. Let me show you how it works.

Tower 1: 1

Tower 2: 1 + 4 = 5

tower 3 : 5 + 8 = 13

tower 4: 13 + 12 = 25

tower 5: 25 +16 = 41

Hey there! Can someone tell me the answer please? Will give brainliest.

Answers

Answer:

24 edges, 24 vertices, 8 faces - For that weird Cylender thing.

Step-by-step explanation:

There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.

Answer:

There are 6 faces

One up one down one front one backs one right one left

12 edges and 8 ventricles

fill the gap if x×y
x - 15 120 a a 12 c 33
y - 5 40 3 6 b a d

Answers

Answer:

x - 15 120 9 18 12 33

y - 5 40 3 6 4 11

Step-by-step explanation:

x - 15 120 a a 12 33

y - 5 40 3 6 b d

x = 3y

When y = 5

x = 3y

x = 3 * 5

x = 15

When y = 40

x = 3y

x = 3 * 40

x = 120

When y = 3

x = 3y

x = 3 * 3

x = 9

When y = 6

x = 3y

x = 3 * 6

x = 18

When x = 12

x = 3y

12 = 3y

y = 12/3

y = 4

When x = 33

x = 3y

33 = 3y

y = 33/3

y = 11


Can someone pls explain I need help

Answers

Answer: 25

Step-by-step explanation: I just entered the equation into my calculator like so.

A negative number times a negative number equals a positive number.

I hope this helps, have a nice day.

A delivery man can deliver 91 packages in 2 hours. If he continues at this rate, how many packages can the delivery man deliver in 8 hours?

Answers

Answer:  364

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

Work Shown:

(91 packages)/(2 hours) = (x packages)/(8 hours)

91/2 = x/8

91*8 = 2*x .... cross multiply

728 = 2x

2x = 728

x = 728/2 .... divide both sides by 2

x = 364

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

Another approach:

If he delivers 91 packages in 2 hours, then his unit rate is 91/2 = 45.5 packages per hour. Multiply this by the 8 hours

8*45.5 = 364

once hundred and
eight
ht and two tens as a decimal ​

Answers

Answer:

108.2

Hope this is right!

Asurveyor standing at anoties two objects B and C on the opposite side of canal.The object are 120 m apart.If the angle of sight b/n the object is 37degre how wide is the canale

Answers

Answer:

159.25 meters

Step-by-step explanation:

Using the solution diagram attached ;

From Trigonometric relation, the width, w of the canal can be obtained using :

Tanθ = opposite / Adjacent

Tan 37 = 120 / w

w * tan 37 = 120

w = 120 / tan 37

w = 159.24537 meters

Hence, width of canal is 159.25 meters

Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours of electricity used and the cost per kilowatt hour. When he uses 1,100 kilowatt hours of electricity, his bill is $113. When he uses 1,500 kilowatt hours of electricity, his bill is $153. What is the monthly administration fee?

Answers

We will form the equations for this problem:

(1) 1100*y + z = 113

(2) 1500*y + z = 153

z = ? Monthly administration fee is notated with z, and that is the this problem's question.

Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.

Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.

The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:

(1) 1100*y + z = 113

(2) 1500*y + z = 153

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

(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:

(2) 1500*y + (113 - 1100*y) = 153

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

(1) z = 113 - 1100*y

(2) 1500*y + 113 - 1100*y = 153

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

(1) z = 113 - 1100*y

(2) 400*y + 113 = 153

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

(1) z = 113 - 1100*y

(2) 400*y = 153 - 113

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

(1) z = 113 - 1100*y

(2) 400*y = 40

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

(1) z = 113 - 1100*y

(2) y = 40/400

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

(1) z = 113 - 1100*y

(2) y = 1/10

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

if we insert the obtained value of y into (1) equation, we get the value of z:

(1) z = 113 - 1100*(1/10)

(1) z = 113 - 110

(1) z = 3 dollars is the monthly fee.

credit: freesparrow

Answer:

3

Step-by-step explanation:

bc it is

12c + 12 (3/4c) + 12 (1/2c) shows the total cost for buying 3 phones that each cost c dollars per month for 12 months.

Answers

Answer:

c(12 + 9 + 6)

12(2.25c)

Step-by-step explanation:

12c + 12 (3/4c) + 12 (1/2c)

12(1c) + 12(3/4c) + 12 (1/2c)

12(c + 3/4c + 1/2c)

12(2 1/4c)

12(2.25c)

Or

12c + 12 (3/4c) + 12 (1/2c)

12c + 9c + 6c

c(12 + 9 + 6)

What’s the grandest common factor of 12 and 36

Answers

Answer:

12

Step-by-step explanation:

12 divides enenly into both

Answer:

It's 12

Step-by-step explanation:

12 since 12 can't go any larger.

Which exponential function is represented by the graph

Answers

Answer:

the answer is "B" the second one...

(1/2)(2)^x

at

0 = (1/2)(1) = 1/2

2= (1/2)(4) = 2

Step-by-step explanation:

Ersin cebindeki 8 lirayı pazartesi günü kumbarasına koyduktan sonra babası bundan sonra her gün ersine 8 lira koyması için her gün 3 lira veriyor buna göre hangi gün ersinin kumbarasında 74 lira olur

Answers

Cevap:

Salı

Adım adım açıklama:

İlk depozito (Pazartesi) = 8 lira

Günlük yatırılan miktar = 3 lira

74 liraya sahip olmak için gereken gün sayısı;

Gün sayısı = x olsun

8 + 3x = 74

3x = 74 - 8

3x = 66

x = 66 / 3

x = 22 gün

Pazartesiden 22 gün sonra; Salı gününe denk gelecek

Sofia works at a company where she gets a set 5% raise every year. If her current salary is $83,000, what will her salary be in 2 years?

Answers

Answer:

the answer is 91,5007.50 dollars

Step-by-step explanation:

find the first year you would do 83,000 times 105% and that would equal 87,150 next you would do 87,150 times 105% and I would equal to 91,507.50

Answer:

83830

Step-by-step explanation:

because 5percent of 83000 is 412 and 412 plus 412 is 830 and plus 83830

Which is the graph of f(x) = -(x+3)(x + 1)?
6
2
2
24
w
-8
2
8
2
4
e
2
8
8
4

Answers

Happy Pride Month!

Answer:

Option B

Step-by-step explanation:

Use Desmos graphing calculator for these probloms and type your qustion on the left box

the second option, B

Solve for x. Help me out because I haven’t been paying attention all year pt.2

Answers

Answer:

x = 9

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(24+3) * 3 = x^2

27*3 = x^2

81 = x^2

Take the square root of each side

sqrt(81) = sqrt(x^2)

9 =x

in one day a truck delivered 48 tonnes of sand to a building site. the first three loads measured 11.25 tonnes, 12.76 tonnes, and 12.82 tonnes. How much sand was in the fourth and final load?

Answers

Answer:

11.17 tonnes was in the fourth and final load.

Step-by-step explanation:

11.25 + 12.76 + 12.82 = 36.83 > total of the first 3 loads.

x = 4th load.

36.83 + x = 48

x = 48 - 36.83

x = 11.17

HELP ME AGAIN [GIVING BRAINLIEST TO BEST ANSWER]

Answers

Answer:

160 yards

Step-by-step explanation:

The answer would be 160 yards because you add 100 and 60. The reason you add these is because added together would equal the distance.

What are the domain and range of y = tan X? Select one choice for domain
and one for range.
A. Range: -1 B. Domain: 2 + + na
O C. Domain: All real numbers
O D. Range: All real numbers

Answers

From photo you would choose B and D.
Your options make no sense.

tan(x) = sin(x) / cos(x) so the domain is restricted by excluding x where cos(x) = 0
This happens when x = pi/2 and repeats every pi after that = pi/2 + n x pi where n is an integer
I don’t like the wording of B but it is the best definition of domain in the question.

The domain of [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex].

The range of the given function [tex]y = tanx[/tex] is the set of all real numbers.

What is domain?

The domain of a function is the set of values that we are allowed to plug into our function.

What is range?

The range of a function is the set of its possible output values.

According to the given question.

We have a function

[tex]y = tanx[/tex]

The above function can be written as

[tex]y = \frac{sinx}{cosx}[/tex]

⇒ [tex]tanx[/tex] is defined for all values except the values that makes [tex]cosx = 0[/tex], a fraction with denominator is not defined.

And we know that

[tex]cosx = 0 \ \forall \ x \in \frac{(2n+1)\pi }{2} \ where \ n \in Z[/tex]

Hence, for all these values, [tex]tanx[/tex] is not defined.

Therefore, the domain of [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex].

Since, the domain of  [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex], so when we input these values in the given function we get only real numbers.

Therefore, the range of the given function [tex]y = tanx[/tex] is the set of all real numbers.

Thus, option D and B are correct.

Find out more information about domain and range here:

https://brainly.com/question/1632425

#SPJ2

Ray Jay's company ships T-shirts inbox is shaped like Cube And it's net Ray j. Is designing label for all the faces of the box what is the surface area of each box that Ray J needs to cover the labels

Answers

Answer:

24 ft²

Step-by-step explanation:

The surface area of each box to be covered ;

Since box is cube shaped, we find the surface area of a cube to get our solution :

Surface area of a cube = 6a²

Where, a = cube edge

a = 2

Hence,

Surface area = 6a² = 6(2)² = 6 * 4 = 24ft²

What is the minimum value of the function, f(x)=x2+8x+4

Answers

Answer:

The minimum value of the function is 12

How do you simplify mn^0?

Answers

Answer:

m

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1 , then

m[tex]n^{0}[/tex] = m × 1 = m

what is the volume of a tissue box with 1 ft x 2 ft x 3 ft ?

Answers

Answer:

V = 6 ft^3

Step-by-step explanation:

V = length * width * height

V = 1* 2* 3

V = 6 ft^3

Answer:

6 ft³

Step-by-step explanation:

V = lwh

V = 1 × 2 × 3

V = 6 ft³

I NEED HELP WITH MY FINAL PLEASEE

Answers

Answer:

y=(x-1)(x-4) & 100°

Step-by-step explanation:

Graph

1) there are x-intercepts at 1 and 4so you set those equal to x

ex. x=1 x=4

2) then subtract them over to equal 0 and set it equal to y

ex. y=(x-1)(x-4)

Angle

*IMPORTANT* Straight lines are equal to 180°

∠CBD = 80°

1) So you just subtract ∠CBD from 180°

ex. 180° - 80° = 100°

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