The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find the number​

Answers

Answer 1

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.


Related Questions

6th grade math help me pleaseeee

Answers

Answer: 65

Step-by-step explanation:

since the square root of 8 is 64 and 65 is closest to 64

Answer:

√65

√9= 3

√17= 4,12311

√65= 8,06226

√72 =8,48528

Help me please I’ll luv you forever

Answers

Answer:

2nd one

Step-by-step explanation:

it's more than 90°

Answer:

it's obtuse

Step-by-step explanation:

beacuse obtuse angle means more than 90 but less than 180 and this is like around 130 to 150, if I'm not wrong.


[tex](81 {x}^{ - 3} {y}^{4} \div 16x {y}^{ - 4} ) { \frac{ - 3}{4} } [/tex]

Answers

Answer:

2

Step-by-step explanation:

What is the area of this figure?
2D
5 m
write your answer using decimals. Use 3.14 for pie

___ square kilometers

Answers

Answer: i eat fooood bro

Step-by-step explanation:

a country radio asks every 5th caller what is their favorite type of music, is this biased or unbiased?

Answers

Answer:

unbiased, I think

Step-by-step explanation:

Answer:

it is unbiasied i think....

Devon has a sandbox that is 3 feet long, 3 feet wide, and } foot deep. How
many cubic feet of sand does he need to fill the sandbox completely?

HELP FASTT!!! giving brainless

Answers

Answer:

B) 5 1/4

Step-by-step explanation:

3.5x3x0.5=5.25 or 5 1/4

I legit do not know which it is.

Answers

Given:

The inequality is

[tex]c\leq 7[/tex]

Where, c is the number of cars in the parking lot.

To find:

The graph for the given inequality.

Solution:

We have,

[tex]c\leq 7[/tex]

Here, the value of c can be any real number less than or equal to 7. But c is the number of cars, so c must be a non-zero integer.

Since, all the non-zero integer values less than or equal to 7 are included in the solution set, therefore, c = 0,1, 2,3,4, 5,6,7.

In the graph of the given inequality, there are close circles on  0,1, 2,3,4, 5,6,7 as shown in option D.

Therefore, the correct option is D.

Which best defines the term empirical evidence?
evidence based on facts and figures
evidence based on emotions
evidence based on another person’s testimony
evidence based on experience and observation

Answers

Answer:

the fourth answer, hope this can help

Answer:

evidence based on experience and observation

Step-by-step explanation: 100%

a table of values represents a proportional relationship when both the____and___ are_

Answers

X/Y VALUES and RATIOS are the SAME
... i think, i’m no genius lol

Rewrite the following radical expression in rational exponent form.
(√x)^5
А. x2/5
B. x5/2
C. x^2/x^5
D. (1/x^2)^5

Answers

Answer:

Step-by-step explanation:

For clarity, you need to mark exponents with ^ and parentheses.

You would  write the choices A and B as x^(2/5) and x^(5/2), respectively.

Answer:

x5/2

Step-by-step explanation:

Can someone pls help me with this?

Answers

Answer:

C

Step-by-step explanation:

Because the line is straight and the line is supposed to be going straight up

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

C=12

Step-by-step explanation:

2x12=24

3x12=36

5x12=60

help with math pls thanks so much

Answers

2/5

Hope this helps!!!!

Answer:

2/5

Step-by-step explanation:

The y-intercept is the number being added or subtracted in the equation when you have y = mx + b. For example, in the equation y = 9x - 4, the y-intercept is -4, and in the equation y = 3x + 7, the y-intercept is 7. The number being added in this case is 2/5, so it is the y-intercept.

Graph a sine function whose amplitude is 4, period is π , midline is y=−3, and y-intercept is (0, −3). The graph is not a reflection of the parent function over the x-axis.

Use the sine tool to graph the function.

The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Answers

Answer:

y=4sin(2x) - 3

Step-by-step explanation:

Recall the form of a sinusoidal function is Asin(Bx + C) + D, where A is the amplitude, B is the frequency (could also be viewed as the period), C is the horizontal (phase) shift, and D is the vertical shift. Also, recall sin(x) has a period of 2π.

You start with the parent function (sin(x)).

Then, knowing the amplitude is 4: 4sin(Bx + C) + D

Then, knowing the period of the regular sine function is 2π, to get to a period of π, divide by 2 (the period of the curve changes by a factor of 1/2), so your B coefficient is 2: 4sin(2x + C) + D

There is no phase shift, so omit C: 4sin(2x) + D

Since the midline is y = -3, that is your vertical shift (D): 4sin(2x) - 3

Graph of y = 4sin(2x) - 3 is below:

Answer: The graph is shown below.

Explanation:

The midline is y = -3 and the y intercept is (0,-3). This is point A in the diagram below.

The period is pi units, which means that going from midline to peak (or valley) is 1/4 of this distance. So it's pi*(1/4) = pi/4 = 0.79 units approximately from x = 0 to x = 0.79; which is the x coordinate of point B. Point B is one of the infinitely many maximum points. Notice that the vertical distance from A to B is 4 units, which is the amplitude.

Extra info:

The equation of this sine curve is y = 4sin(2x)-3

I used GeoGebra to make the graph

HELP PLZZZZZzZZzzzzzz

Answers

Answer:

43.98

Step-by-step explanation:

Please answer b) !!! Thank u sm!!

Answers

Answer: $22

Step-by-step explanation: Good luck! :D

Each topping is $2 and there are 7 of them! That's $14 for the toppings only. The pizza without any toppings is $8!

14 + 8 = $22

What is the slope of a line which is perpendicular to the line whose equation is y=7x-5?

Answers

Answer:

-1/7

Step-by-step explanation:

I think this because the  opposite of 7 is -1/7 and that is the meaning op perpendicular.

What is the length of the diagonal PS
A.39.9
B.19.9
C.18.6
D.23.9

Answers

Answer:

Your answer......39.9.....A

WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER

irene is making tomato soup and max and cheese. she needs 3/4 of a cup of milk for the soup and 1 3/4 cups of milk for the max and cheese.

Answers

Answer:

the third one because youd be adding them together to get the answer

Step-by-step explanation:

y = x + 8
4x – 2y = -12​

Answers

Answer:

x = 14

y = 22

Step-by-step explanation:

y = x + 8

4x - 2y = -12

Solve

_____________

Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.

4x - 2(x + 8) = -12

Distribute :

4x - (2(x) + 2(8)) = -12

4x - 2x +16 = -12

Combine like terms :

2x + 16 = -12

Subtract 16 from both sides :

2x = -28

Divide 2 from both sides to get x alone :

x = 14

Now that we know what x is, substitute it in the first equation to get y :

y = (14) + 8

y = 22

Answer:

(2 , 10) or x = 2 & y = 10

Step-by-step explanation:

y = x + 8

4x – 2y = -12​

1. Substitute x + 8 in for the y in the other equation.

2. Solve for x

3. Take the solution for x and substitute the number in for the x in y = x + 8.

4. Solve for y.

5. Your answer is the result.

4x - 2(x + 8) = -12                       Distributive Property

4x - 2x - 16 = -12                        Combine like terms

2x - 16 = -12                               Isolate the x, so start by moving -16

    + 16   +16                              

2x + 0 = 4                                  Delete the 0. It is a place holder you don't need

      2x = 4                                 Isolate the x by dividing both terms by 2.

        2    2

        x = 2

y = x + 8                      Substitute the 2 in for x and solve the one step equation.

y = 2 + 8

y = 10

two friends have a conversation mario tells roberto "the money i have is twice that you have" roberto answer "if you give me 6 dollars will we both have the same amount" how much money have each of them?​

Answers

Answer:

Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.

Step-by-step explanation:

Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.

M = 2R

M - 6 = R + 6

To isolate M, you need to add 6 on both sides.

M - 6 + 6 = R + 6 + 6

M = R + 12

M = 2R

Substitute M for the value above that we found.

R + 12 = 2R

Now we subtract R on both sides, so that only one side has the variable R.

R - R + 12 = 2R - R

12 = R

M = 2R

Substitute for the value of R.

M = 2 x 12

M = 24

c) A mother is three times as old as her daughter. Five years ago, she was five times
as old as her daughter was. Find their present age.​

Answers

Answer:

Mother's age is 35 while the daughter's age is 15

Step-by-step explanation:

If 5 years ago the mother was 3 times older and 10x3=30 then the mother was 30 and the daughter was 10, add 5 to both the numbers and you have your answer.

Answer:

6 and 10...

Make of you will of that.

A. y+2 = -4(X-8)
B. y- 8 = -4(x + 2)
C. y+ 8 = -4(x-2)
D. y-2 = -4(x+8)


PLEASE HELP AND ASAP THANKS!!!!!

Answers

ExplanationPoint-Slope Form

[tex]y-y_1=m(x-x_1)[/tex]

Given the x1 and y1 = given point.

Substitution x1 = 2 and y1 = -8 in the equation.

[tex] \begin{cases} x_1 = 2 \\ y_1 = - 8 \end{cases} \\ y - ( - 8) = - 4(x - 2) \\ y + 8 = - 4(x - 2)[/tex]

Hence, the solution is C choice.

Answer

[tex]y + 8 = - 4(x - 2)[/tex]

please help seems easy just can’t figure out the answer

Answers

Answer:

b is 125

Step-by-step explanation:

help guys due really soon 28 points

Answers

Answer:50 +30 = 80 i guess

Step-by-step explanation:

Write the ratios sin X and cos X

Answers

Answer:

.

Step-by-step explanation:

Calculate the mean of 66,73,65,60​

Answers

Answer:

66

Step-by-step explanation:

The mean is the average, to find you add all the numbers up and then divide by the amount of numbers you added.

66+73+65+60 = 264

264 : 4 = 66

I hope this helps :0)

The measurts of the angles of a triangle are shown in the figure below. Solve for x.
33°
A

Answers

Answer:

Step-by-step explanation:

x = 57°_________________

Step-by-step explanation:

sum of all Δ angles = 180°

33° + 90° + x = 180°

123° + x = 180°

x = 180° - 123°

x = 57°

_________________FOLLOW ME

9. A ball is thrown into the air at an initial velocity of 18 meters per second from an initial height of 10
meters. The equation that models the path of the ball is given by h= -4.9t? +18t +10.
(A) What is the maximum height of the ball?
9a)
(B) When does the ball reach its maximum height?
9b)
(C) When does the ball hit the ground?
9c)
(D) How high is the ball at 3 seconds?
9d)
(E) When is the ball 20 meters high?
9e)

Answers

D3 secaonds answer 20 meters=1

1
Sharon bought = kg of sugar. She used- of it to bake a cake.

2
4
How much sugar had she left?
D​

Answers

Answer:

She bought 1 kg

amount used in making cake = 2/4 = 1/2

amount left with her = 1 - 1/2

==. 1/2

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