<h3><u>The variable is equal to 20.</u></h3>
6w + 30 + w = 4w + 90
Subtract 30 from both sides.
6w + w = 4w + 60
Combine like terms.
7w = 4w + 60
Subtract 4w from both sides.
3w = 60
Divide both sides by 3.
w = 20
Answer:
c
Step-by-step explanation:
Put them in under to least to greatest
87, 89, 96, 100, 112
then find the middle
96
96= median
X should be around 1.5625, assuming that -4 is squared is not in a parenthesis. So, the problem should be -20=-4^2(sqrtx). Divide -20 by -16 to get 1.25. Then square 1.25 and sqrt x to get 1.5625.
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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