when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number​

Answers

Answer 1

9514 1404 393

Answer:

  56

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

__

Check

  56 × 6 = 336

  65 × 5 = 325

  5 + 6 = 11

_____

* Additional comment

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625


Related Questions

please give simple velocity example and awnser

Answers

Step-by-step explanation:

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north).

example.

Velocity is the rate of motion, speed or action. An example of velocity is a car driving at 75 miles per hour.

Solve each of the systems below by substitution

y = -3/2x (fraction)

3x + 2y = -4

Answers

Answer:

GET PHOTOMATH

Step-by-step explanation:

DOWNLOAD PHOTOMATHhope this helps bro :)


Which is a pair of independent events?

Answers

A and B are independent events
choosing one card from a deck and then choosing one card from another deck

In Exercise 3.37, we looked at quadratic and cubic polynomial models for the price of diamonds (TotalPrice) based on the size (Carat). Another variable in the Diamonds datafile gives the Depth of the cut for each stone (as a percentage of the diameter). Run each of the models listed below, keeping track of the values for adjusted and which terms (according to the individual t-tests) are important in each model: a. A quadratic model using Depth b. A two-predictor model using Carat and Depth c. A three-predictor model that adds interaction for Carat and Depth d. A complete second-order model using Carat and Depth

Answers

I think is is A it might be wrong

a group of six friends went out fir dinner and equally split the dinner bill. if they each paid 24.70 what was the dinner bill?​

Answers

If six friends each payed $24.70 then

6 * 24.70 = 148.20

The dinner bill in total was $148.20.

Save me Lol I suck at math :D

Answers

Answer:

5/w-v

Step-by-step explanatio

What is answer for (11x-32)=45

Answers

Answer: x=7

Step-by-step explanation:


(11x-32)=45

We move all terms to the left:

(11x-32)-(45)=0

We get rid of parentheses

11x-32-45=0

We add all the numbers together, and all the variables

11x-77=0

We move all terms containing x to the left, all other terms to the right

11x=77

x=77/11

x=7

Odd couple. If n is an odd number greater than or equal to 3, can n+1 ever be prime? What if n equals 1?

Answers

No, because when adding 1 to any odd number it will become even, and all even numbers besides 2 are not prime. This means that if n was 1 the resulting number would be prime, since 2 is prime.

A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is one chance in two that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. In the long run, what proportion of days are sunny

Answers

Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

[tex]\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R   -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

0.75S = 0.375R

S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

2.5R = 1

R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2

four million, five hundred and sixty thousand in numbers

Answers

Answer:

4,560,000 is your answer.

~Sophia

Answer:

4,506,000

Step-by-step explanation:

4,000,000+500,000+6,000=4,506,000

1. Si se tienen los eventos:
A. Que la ruleta se detenga en un número menor que cuatro.
B. Que se detenga en un número múltiplo de cuatro.
a) ¿Cuál es la probabilidad del evento A? =
b) ¿Cuál es la probabilidad del evento B? =
c) ¿Qué significa que ocurra A o B?
d) ¿Cuál es la probabilidad de que ocurra A o B?

Answers

Answer:

c...........................

What is an equation of the line that passes through the points (8, 5)
and (-6, 5)?

Answers

Y=5 is the equations

15 POINTS :)

Solve the inequality.
-3x+4<25

Answers

Answer:

x > -7

Step-by-step explanation:

-3x + 4 < 25

-3x + 4 - 4 < 25 - 4

-3x < 21

-3x/-3 < 21/-3

x > -7

May i have brainliest? :)

Helpppppppppppppopppppp

Answers

Answer:

9x+18

Step-by-step explanation:

An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: ______________, _______________ , ________________, _____________.

Answers

Answer:

An inequality sign is like an equal sign with a line through it

so, like, if you put = and / together

Answer:

<, >, =>, =<

Step-by-step explanation:

11) To approach a runway, a pilot must begin a 10° descent

starting from a height of 0.38 miles above the ground. At

the start of his approach, how far, d, is the plane from the

runway to the nearest tenth of a mile?

Answers

Answer:

the plane 2.2 miles away from the runway

Step-by-step explanation:  

Given the data in the question and as illustrated in the image below;

from the image, using trigonometric ratio;

SOH CAH TOA

sin = opposite / hypotenuse

sin10° = 0.38 / x

xsin10° = 0.38

x = 0.38 / sin10°

x = 0.38 / 0.173648

x = 2.1883 miles  ≈ 2.2 miles     { the nearest tenth of a mile }

Therefore, the plane 2.2 miles away from the runway

Rewrite the Polynomial as a product of the monomial and the polynomial 3x^2yz^3-9x^3y^2z+12x^2y^3z^2 I WILL AWARD BRAINLIEST

Answers

Answer:

[tex]P = 3x^2yz ( z^2-3xy+4y^2z)[/tex]

Step-by-step explanation:

Given

[tex]P = 3x^2yz^3-9x^3y^2z+12x^2y^3z^2[/tex]

Required

Write as a product of monomial and polynomial

Factor out [tex]3x^2yz[/tex] from each term

[tex]P = 3x^2yz * z^2-3x^2yz *3xy+3x^2yz *4y^2z[/tex]

Factor out [tex]3x^2yz[/tex]

[tex]P = 3x^2yz ( z^2-3xy+4y^2z)[/tex]

The above is a product of monomial and polynomial

44. An inequality that provides a boundary for a situation
A. constraint
B. parameter
C. minimum
D. maximum

Answers

The answer is D maximum

320 x (0,015^18) x 100

Answers

Answer:

4,73........

........................

Answer: 4.729

Step-by-step explanation:

320 * 0.015^18 * 100

320 *100 = 32000

32000 * 0.015^18

0.0015^18 = 1.4778

32000 * 1.47789

4.72925

PLEASE HELP


180% is equiliant of which decimal .....​

Answers

Answer:

180% is equivalent to the decimal 1.8

Answer:

answer is 1.8 hope it helps

Find f(-2) and f(3) for each function
f(x) = x3 – x3
and f(x) =x^4+1/4x^3-1/2x

Answers

Answer:

f(x) = x3 - x3 = 0

Step-by-step explanation:

f(-2) = (-2)3 - (-2)3 = 0

f(3) = (3)3 - (3)3=0

f(-2) = -16+-2--1= -15

Mutations happen at a steady rate.

True

False

Answers

False, mutations occur at varying rates

the sum of a number x and six multiplied by three​
can you help me

Answers

Answer:

3(x+6)

3x+18

Step-by-step explanation:

3(x+6) which is what another person had said

Which expression represents the phrase ""the product of x and the quantity ‘10 minus x’""?

Answers

I think it is (10-x)=x pls correct me if I’m wrong

2 and 1/3 devided by 2/3

Answers

Answer:

3/5 , 7/2 , 3 1/2

Step-by-step explanation:

Step 1 -

Two Plus One - Third

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

Make Both Fractions-

[tex]\frac{2}{1}[/tex] + [tex]\frac{1}{3}[/tex]

Make Same Denominator ( Bottom # Of Fraction )-

[tex]\frac{2}{1}[/tex] * [tex]\frac{3}{3}[/tex] = [tex]\frac{6}{3}[/tex]

New Equation-

[tex]\frac{6}{3}[/tex] + [tex]\frac{1}{3}[/tex]= [tex]\frac{7}{3}[/tex]

Step 2-

Seven - Thirds Divided By Two-Thirds.

[tex]\frac{7}{3} / \frac{2}{3}[/tex]

Divide In Parts-

7 / 2 = 3.5

Final Answer of '2 and 1/3 divided by 2/3 is 3.5, 7/2, 3 1/2! Don't Forget To Rate Brainiest!                                        -Aslina

Si una matriz tiene una fila o columna de ceros su determinante es:
A mismo.
B. B. doble
C. El opuesto​

Answers

Answer:

es la A

Step-by-step explanation:

la columna es de cero ,es lo mismo

1/6 x 1/8
&
1/2 x 1/3

Answers

answer:

1/48 & 1/6

Step-by-step explanation:

What are the values of m and n in each right triangle

Answers

m would be 90 degrees and n would most likely be 15 (it will be less than 90 for sure since it's an acute angle but what are your options?)

A nursery owner buys 9 panes of glass to fix some damage to the greenhouse. The 9 panes cost ​$19.35. ​Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of​ glass?

Answers

Answer:

$4.30

Step-by-step explanation:

19.35/9 = 2.15 per pane

2.15 x 2 = 4.3

3. Bob wrote 0.125 as a fraction. He wrote it as 48. Is Bob correct? Why or why
not?

Answers

Answer:

0.125 is the same as 125/1000. 

Step-by-step explanation:

This is because we have to remove the decimal point before creating a fraction.

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