The question is essentially asking for the least common multiple of 20 and 25. There are several ways you can find the LCM. One easy way is to divide the product by the GCD (greatest common divisor).
GCD(20, 25) = 5 . . . . . see below for a way to find this, if you don't already know
LCM(20, 25) = 20×25/GCD(20, 25)
... = 500/5 = 100
The buses will be there together again after ...
... B. 100 minutes
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You can also look at the factors of the numbers:
... 20 = 2²×5
... 25 = 5²
The least common multiple must have factors that include all of these*, so must be ...
... 2²×5² = 100
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* you can describe the LCM as the product of the unique factors to their highest powers. 20 has 2 raised to the 2nd power. 25 has 5 raised to the 2nd power, which is a higher power of 5 than is present in the factorization of 20. Hence the LCM must have 2² and 5² as factors.
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You can also look at the factorization of 20 and 25 to see that 5 is the only factor they have in common. That is the GCD, sometimes called the GCF (greatest common factor).
(x²+4x-12)/(x-2)=0
(x+6)(x-2)/(x-2)=0
x+6=0
x=-6
(-6,0)
The equation is y = 63/x
And y = 3 when x=21
Step-by-step explanation:
When y varies inversely with x, The inverse proportion is given by:
y ∝1/x
When the proportionality symbol is removed, a constant of proportionality is introduced
Putting y = 7 and x = 9
So,
Putting x =21
Hence,
The equation is y = 63/x
And y = 3 when x=21
Keywords: Proportion, variables
Learn more about proportion at:
#LearnwithBrainly
Answer:
see below
Step-by-step explanation:
The following definitions apply:
if p, then q . . . . conditional statement
if q, then p . . . . converse
if ~p then ~q . . . inverse
if ~q then ~p . . . contrapositive
You have ...
p = "it is October 31"
q = "it is Halloween"
(a) The <em>converse</em> is ...
If it is Halloween, then it is October 31.
(b) The <em>inverse</em> is ...
If it is not October 31, then it is not Halloween.
(c) The <em>contrapositive</em> is ...
if it is not Halloween, then it is not October 31.
Answer: 
Step-by-step explanation:
if diameter is 14, the radius is 7
