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Rudiy27
3 years ago
14

A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 15th caller receives a

limo ride. Which caller will be first one to win both?
Mathematics
2 answers:
marusya05 [52]3 years ago
7 0
For this, we need to find the lowest common multiple of 12 and 15....

common multiples of 12 : 12,24,36,48,60
common multiples of 15 : 15,30,45,60
LCM = 60

the caller that will be the first to win both is the 60th caller


kirza4 [7]3 years ago
5 0

Answer: Every 60th caller would win both.

Step-by-step explanation:

Since we have given that

every 12th caller receives a free concert ticket.

And

every 15th caller receives a limo ride.

We need to find the first caller who would win.

So, for this we would find L.C.M. of 12 and 15.

And we know the least common multiple of 12 and 15 is 60.

Hence , every 60 th caller would win both.

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Paralell to y=4x-6 through (12,10)
stiks02 [169]

<u>ANSWER</u>

The line that is parallel to y=4x-6 through (12,10) is  y=2x-14.



<u>EXPLANATION</u>


The equation that is parallel to the line y=4x-6 has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

y=mx+c,this line has slope m=2.


Hence the line parallel to this line also has slope m=2.

Let y=mx+b be the equation of the line parallel to the line

y=4x-6

We can substitute m=2 to obtain;

y=2x+b


If the line passes through the point (12,10),then this point must satisfy its equation.


We substitute x=12 and y=10 to obtain;


10=2(12)+b


We this equation for b.


\Rightarrow 10=24+b


\Rightarrow 10-24=b


\Rightarrow -14=b


We substitute this value of  b=-14 in to y=2x+b to get;


y=2x+-14.


Hence the equation of the line that is parallel to y=4x-6 through (12,10) is  y=2x-14.




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3 years ago
Identify the angle relationship, then solve for x*
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Answer:

14°

Step-by-step explanation:

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or,13x=182°

or,x=182°/13

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