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3 years ago

How many 5 digit numbers have the property that all their digits are ascending.

Mathematics

1 answer:

sertanlavr [38]3 years ago

6 0

Answer:

So, for the ascending order, there are only 9 digits to choose from, and hence, there are 9C5 ways to choose the 5 digits. So, there can be 9C5=126 5-digit no.s with their digits in an ascending order.

126 5

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In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second

Molodets [167]

Given:

In a set of 3 numbers the first is a positive integer, the second is 3 more than the first and the 3rd is a square of the second.

To find:

The equation for the given situation if the sum of the numbers is 77.

Solution:

a. Let the first number in the set is x.

The second is 3 more than the first. So, the second number is $(x+3)$ .

The 3rd number is a square of the second. So, the third number is $(x+3)^2$ .

Therefore, the first, second and third numbers are $x,(x+3),(x+3)^2$ respectively.

b. The sum of the numbers is 77.

First number + Second number + Third number = 77

c. So, the equation in terms of x is:

$x+(x+3)+(x+3)^2=77$

Therefore, the required equation is $x+(x+3)+(x+3)^2=77$ .

d. On simplification, we get

$x+x+3+x^2+6x+9=77$ $[\because (a+b)^2=a^2+2ab+b^2]$

$x^2+(6x+x+x)+(3+9)=77$

$x^2+8x+12=77$

Subtract 77 from both sides.

$x^2+8x+12-77=77-77$

$x^2+8x-65=0$

Therefore, the simplified form of the required equation is $x^2+8x-65=0$ .

6 0

3 years ago

The factors of 55 are________________________________.I know that 55 is a (prime/composite) number because...

statuscvo [17]

Answer:

11 & 5 are the factors of 55

Step-by-step explanation:

Factors of 55

11 × 5 = 55

Thus, 11 & 5 are the factors of 55

<u>-TheUnknownScientist</u><u> 72</u>

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3 years ago

What shape has 6 square faces

diamong [38]

Answer: A Hexagon

Step-by-step explanation:

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3 years ago

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Please helppppppppppppppppppppppppppppppppp 11/12 - 7/9

Komok [63]

11/12 - 7/9

=>taking L.C.M of the denominator

=>11/36 - 7/36

=>4/36

=>2/18=>1/9

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3 years ago

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5,820 in scientific notation

Ivan

Answer:

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 5,820

New Number: 5.820

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 5 . 8 2 0

Decimal Count: 1 2 3

There are 3 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 5.82 (Please notice any zeroes on the end have been removed)

b = 3

Now the whole thing:

5.82 x 103

Step 4

Check your work:

103 = 1,000 x 5.82 = 5,820

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3 years ago

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