She could ride 12, 18, 24, or 30 miles in one week. Just find all the multiples of 3 and find the numbers that fit the question.
I believe it’s 20, hope this helps!
Step-by-step explanation:
First you want to fine the slop (rise over run) and the y-intercept of both lines
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.
Learn more about gcd here:
brainly.com/question/16969353
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Answer:
10 quarts
Step-by-step explanation:
You need 2.5 quarts of cream per quart of ice cream, and you want to make 4 quarts of ice cream, so you multiply 2.5 and 4 to get 10 quarts