<span>14 = GCF of M and 210
M = possible values
GCF = Greatest common denominator
Now, let’s start decomposing
=> 210 | 2
=> 105 | 2
=> 35 | 5
=> 7 | 7
=> 1
Thus, 2 x 3 x 5 x 7 = 210
Now let’s find the factors of 14
=> 14 | 2
=> 7 | 7
=> 1
Thus, 2 x 7 = 14
Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.
Thus, the value of M that we’re looking for is infinite. All numbers that has
the GCF of 7 are applicable.</span>
Answer:
Step-by-step explanation:
Considering the geometric sequence
As the common ratio '
' between consecutive terms is constant.
The general term of a geometric sequence is given by the formula:
where 
is the initial term and the common ratio.
Putting 
, 
and in the general term of a geometric sequence to determine the 12th term of the sequence.
∵ 
Therefore,
Answer:
choice number 2) 10 in, 18.5 in 31.5 in
Step-by-step explanation:
we collect and evaluate the like terms.like terms means the ones that can be evaluated. like 2y and 7y are like terms. they either can be added or subtracted to get an answer . 7y-2y =5y. but you cant subtrac or add 7y with 5 because they are not like terms.
2y +1 + 7y + 3y + 5 = 60
(2y+7y+3y)+(1+5) = 60
12y + 6 = 60
The 6 crosses the equal sign to the other side because of like terms.And becomes a minus
12y = 60 - 6
12y = 54
y = 4.5
so,
2y +1= 2 x 4.5 + 1 =10
7y = 7 x 4.5 = 31.5
3y + 5= 3 x 4.5 + 5 =18.5
Answer is 10 in, 18.5 in, 31.5 in
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Answer: Franco played for 30 minutes longer than Lain.
Step-by-step explanation:
3 times 60= 180
180-150=30 minutes
