Answer:
a) 3⁵5³.
b) 1
c) 23³
d) 41·43·53
e) 1
f) 1111
Step-by-step explanation:
The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.
For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².
a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.
b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1
c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.
d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53
e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.
f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd
Answer:
Option A: The answer should be 10% of 6 is the correct answer.
Step-by-step explanation:
Given that:
6 students play trumpet. As they represent 10% of the total students.
Let,
x represent the number of students in the band.
10% of x = 6
By solving this, we will get the value for number of students in the band.
As x will be our answer,
The choices B, C and D are correct in the given scenario.
However,
10% of 6 cannot be the solution to the problem.
Hence,
Option A: The answer should be 10% of 6 is the correct answer.
<u>Answer:</u> 40
<u>Reasoning:</u> 34/.85= 40
40x.85=34
It would be 0.75 as a decimal or 3/4
Answer:
y = 6x - 20
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6, thus
y = 6x + c ← is the partial equation
To find c substitute (4, 4) into the partial equation
4 = 24 + c ⇒ c = 4 - 24 = - 20
y = 6x - 20 ← equation of line
