Two positive integers have gcd (a, b) = 15 and lcm (a, b) = 90. Those two numbers are 15 and 90 or 30 and 45.
Suppose we have 2 positive integers, a and b, then:
gcd (a, b) = the greatest common divisor = common prime factors of a and b
lcm (a, b) = the least common multiple = multiplication of the greatest common prime factors of a and b
In the given problem:
gcd (a, b) = 15
prime factorization of 15:
15 = 3 x 5
Hence,
a = 3 x 5 x ....
b = 3 x 5 x ....
lcm (a, b) = 90
prime factorization of 90:
90 = 3 x 5 x 2 x 3
Therefore the possible pairs of a and b are:
Combination 1:
a = 3 x 5 = 15
b = 3 x 5 x 2 x 3 = 90
Combination 2:
a = 3 x 5 x 2 = 30
b = 3 x 5 x 3 = 35
We can conclude the two integers are 15 and 90 or 30 and 45.
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Answer:50%
Step-by-step explanation:
Determine which of the following terms is a function: a. (1,2) (2,4) (3,5) c. (1,2) (2,4) (2,6) b. (1,2) (2,3) (1,5) d. (1,2) (3
Komok [63]
In a function, X does not repeat.
Your answer is A.
<span>a (1,2) (2,4) (3,5)
</span>there are different x values for
each point, so this IS A FUNCTION.
<span>
b. (1,2) (2,3) (1,5)
</span>there are two values of x being 1,
so this is NOT A FUNCTION.
<span>c. (1,2) (2,4) (2,6)
</span>there are two values of x being 2
so this is NOT A FUNCTION.
<span>
d. (1,2) (3,5) (3,7)</span>there are two values of x being 3,
so this is NOT A FUNCTION.
hope this helps and have a great day!
We have been given that Avril invested $60,000 in a partnership with lane, Jules, Ray, Ravi and petra. The total investment of all partners was 320,000.
To find percentage of the business Avril owns we will find 60,000 is what percent of 320,000.
Therefore, Avril owns 18.75% of the business.
Answer:
s = 2r + 1
Step-by-step explanation:
Number of sunflower (s) is 1 more than twice the number of roses (r)
Mathematically ;
Number of sunflower = 1 + 2 * number of roses
Sunflower = s ; roses = r
s = 2r + 1
