Step-by-step explanation:
Weight of fish Eric bought
= Weight of fish at first - Weight remaining
= 7/8 lb - 1/2 lb = 3/8 lb.
Number of fish Eric bought
= (3/8 lb) / (1/64 lb)
= (24/64 lb) / (1/64 lb)
= 24.
Hence Eric bought 24 fishes.
Answer:
Step-by-step explanation:
Slope m = 
=
Answer:
120 degrees
Step-by-step explanation:
As we know, the exterior angle of a triangle is equal to the two opposite interior angles, in this case,
JKL = JHK + HJK
=> JKL = 24 + 96
=> JKL = 120 degrees
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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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