Answer=24 blue marbles and 3 red marbles
r=red marbles
b=blue marbles
b=3(r+5)
27=b+r
substitue b for '3(r+5)'
27=3(r+5)+r
27=3r+15+r
27=4r+15
subtract 15 from both sides
12=4r
divide both sides by 4
3=r
There are 3 red marbles
27=b+r
27=b+3
subtract 3 from both sides
24=b
There are 24 blue marbles
Answer:
Step-by-step explanation:
Part A
This is a combination problem. Order does not matter.
36C6
36!/(30! 6!)
36 * 35 * 34 * 33 * 32 * 31/ 6!
1402410240/6!
1947792
Part B
1 / (36C6)
0.000000513 or
0.0000005
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
clearly, the equation has to allow t=0, and for that point we need to get 100% (of carbon-14) as result.
and so we also see, that the function calculates the % of the remaining carbon-14.
so, we need the desired outcome 60(%),
because 60 = 100 - 40.
and again, we need a function that shows t=0.
the only answer option fulfilling both criteria is A.
B divides in the exponent by t, so t=0 is not in the domain of the function.
and C and D aim for the wrong remaining percentage.
