3m+21=6m
=>21=6m-3m
=>21=3m
=>7=m
Therefore option A is the answer
Answer:
The equation to find the answer is
.
It has been 5 days since Karen has set her watch.
Step-by-step explanation:
Given:
Karen set her watch 1 second behind
So we will consider;
First term 'a' = 1 second
Also Given :
it falls behind another 2 seconds every day.
So we can consider;
Common difference = 2
We need to find number of days it has been 9 seconds since Karen last set her watch
Solution:
Let number of days be represented by 'n'.
Also Let 
Now By Applying formula for Arithmetic Progression we get;

Substituting the given values we get;

Hence The equation to find the answer is
.
On Solving the above equation we get;
Subtracting both side by 1 we get;

Now Dividing both side by 2 we get;

Adding 1 on both side we get;

Hence It has been 5 days since Karen has set her watch.
Yes it doesn’t repeat x values
Answer:
Step-by-step explanation:
What this question is asking of you is what is the greatest common divisor of 12 and 15. Or, what is the biggest number that divides both 12 and 15.
in order to find this we have to split each number into it's prime components.
for 12 they are 2,2 and 3 (
2
⋅
2
⋅
3
=
12
)
and for 15 they are 3 and 5 (
3
⋅
5
=
15
)
Out of those two groups (2,2,3) and (3,5) the only thing in common is 3, so 3 is the greatest common divisor. That tells us that the greatest number of groups that can exist and have the same number of girls and the same number of boys for each group is 3.
Now to find out how many girls and boys there are going to be in each group we divide the totals by 3, so:
12
3
=
4
girls per group, and
15
3
=
5
boys per group.
(just as a thought exercise, if there were 16 boys, the divisors would have been (2,2,3) and (2,2,2,2), leaving us with 4 groups [
2
⋅
2
] of 3 girls [12/4] and 4 boys [16/4] )
X=-5.5 the other zero would be x=-0.5 but that’s not an option.