Answer:
Number of dogs = 6
Number of burgers = 11
Step-by-step explanation:
Number of dogs = x
Number of burgers = 2x - 1
Cost of a dog = $ 1.50
Cost of 'x' dogs = 1.5x
Cost of a burger = $ 2
Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2
= 4x - 2
Total amount collected = $ 31
1.5x + 4x - 2 = 31 {add 2 to both sides}
1.5x + 4x = 31 + 2
1.5x+ 4x = 33
5.5x = 33
x = 33/5.5
x = 6
Number of dogs = 6
Number of burgers = 2*6 - 1 = 12 - 1 = 11
Answer is 10(2k+5)
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Work Shown:
20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)
Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer
Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.
Well first find 2 points, I am going to choose (0,0.5) and (1,0.3). So to find rate of change or Slope it is y2-y1/x2-x1 so we are doing that, .3-.5/1-0. which will be -.2/1
Your answer: -.2/1
Answer:
2.84
Step-by-step explanation:
Recognize that 252 = 7*36
and so:
log base 7 of 252 = log base 7 of 36 + log base 7 of 7, or
log base 7 of 36 + 1
So the most you can simplify log base 7 of 252 is to write 1 + log base 7 of 36.
Or, if you want to use the change of base formula, you could do the following:
log 36
log base 7 of 36 = -------------- = 1.84
log 7
and so log base 7 of 252 would come out to
1 + log base 7 of 36 = 1 + 1.84 = 2.84
Check: does 7^2.84 = 252? YES. So we know that:
1 + log base 7 of 36 = 2.84
Answer:
15.6
Step-by-step explanation:
