Math Question: John is thinking of a two-digit number. When he multiplies the number by 5 and adds 10, he gets a result that is 125 more than the original number. What number is John thinking of?

Let's assume the number John is thinking of is represented by 'x.' According to the information given, we can form the equation 5x + 10 = x + 125. To solve this equation, we need to isolate the variable 'x.' First, we subtract x from both sides to eliminate it from the right side. This gives us 5x - x + 10 = 125. After simplifying, we have 4x + 10 = 125. Next, we subtract 10 from both sides to further isolate x, resulting in 4x = 115. Lastly, we divide both sides by 4, giving us x = 28.75. Since we're dealing with a two-digit number, we can disregard the decimal point and conclude that John is thinking of the number 29.

Math Question: Can 85 be expressed as the sum of two perfect squares?

No, 85 cannot be expressed as the sum of two perfect squares. The closest perfect squares below and above 85 are 81 (9^2) and 100 (10^2) respectively. We can see that 85 falls between these two squares. To determine if it can be expressed as the sum of squares, we try all possible combinations. If the first perfect square is 81, then we would need a second perfect square of 4 (2^2), but 85 is not equal to 81 + 4. Similarly, 100 + 25 (5^2) would not give us 85. Therefore, after checking all possibilities, we conclude that 85 cannot be expressed as the sum of two perfect squares.

Math Question: A number is multiplied by 5 and then 7 is added to it. If the resulting number is 85, what is the original number?

Let's assume the original number to be x. According to the given information, the equation can be written as 5x + 7 = 85. To solve for x, we'll subtract 7 from both sides, resulting in 5x = 78. Finally, dividing both sides by 5, we find x = 15.6. So, the original number is 15.6. Explanation: The given equation 5x + 7 = 85 represents the steps of multiplying the unknown number (x) by 5 and adding 7 to it, resulting in 85. To solve for x, we isolate it by subtracting 7 from both sides, which gives us 5x = 78. Dividing both sides by 5, we find that x = 15.6. This means the original number is 15.6.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

85 (number)

85 is an odd 2-digits composite number following 84 and preceding 86. In scientific notation, it is written as 8.5 × 10^1. The sum of its digits is 13. It has a total of 2 prime factors and 4 positive divisors. There are 64 positive integers (up to 85) that are relatively prime to 85.

Interesting facts

85 has 4 divisors, whose sum is 108
The reverse of 85 is 58
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 2
Sum of Digits 13
Digital Root 4

Name

Name	eighty-five

Notation

Scientific notation	8.5 × 10^1
Engineering notation	8.5 × 10^0

Prime Factorization of 85

Prime Factorization 5 × 17

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	85	Product of the distinct prime numbers

The prime factorization of 85 is 5 × 17. Since it has a total of 2 prime factors.

Most popular turbo-numbers

3, 4, 63, 94, 271, 64, 7663, 6146, 73988, 49267, 502867, 167813, 6950401, 3818795, 63544710, 42037456, 839300734, 61369506, 7685868733, 7317794640

Basic calculations (n = 85)

Multiplication

n×y

n×2	170
n×3	255
n×4	340
n×5	425

Division

n÷y

n÷2	42.5
n÷3	28.333333333333
n÷3	21.25
n÷5	17

Exponentiation

n^y

n²	7225
n³	614125
n⁴	52200625
n⁵	4437053125

Nth Root

^y√n

²√n	9.2195444572929
³√n	4.3968296721582
⁴√n	3.0363702767108
⁵√n	2.4315532514941

Divisors of 85

1, 5, 17, 85

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-84	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 85 can be divided by 4 positive divisors. The sum of these divisors (counting 85) is 1, the average is 0.25.

Base conversion 85

Base	System	Value
2	Binary	1010101
3	Ternary	10011
4	Quaternary	1111
5	Quinary	320
6	Senary	221
8	Octal	125
10	Decimal	85
12	Duodecimal	71
16	Hexadecimal	55
20	Vigesimal	45
36	Base36	2d

Cryptographic Hash Functions

md5	3ef815416f775098fe977004015c6193
sha1	1352246e33277e9d3c9090a434fa72cfa6536ae2
sha256	b4944c6ff08dc6f43da2e9c824669b7d927dd1fa976fadc7b456881f51bf5ccc
sha512	c674de1d90763c6981258fe9381ef803a9384768b848c3878ab9f2c7f90c80ce9f21be1211f7c762317c780df40b7c372543f834953c43a77fe9a4e9d2ce44d7
ripemd-160	5195250fcbf0b9a78fa24c503fe3dec6373e63dd

85 as geometric shapes

Circle

Radius = n

Diameter	170
Circumference	534.07075111026
Area	22698.006922186

Sphere

Radius = n

Volume	2572440.7845144
Surface area	90792.027688745
Circumference	534.07075111026

Square

Length = n

Perimeter	340
Area	7225
Diagonal	120.20815280171

Cube

Length = n

Surface area	43350
Volume	614125
Space diagonal	147.22431864335

Equilateral Triangle

Length = n

Perimeter	255
Area	3128.5167711713
Altitude	73.612159321677

Triangular Pyramid

Length = n

Surface area	3128.5167711713
Volume	72375.325332698
Height	40.069384267238