F=ir^t, f=final amount, i=initial amount, r=common ration or "rate", t=times common ration is applied or "time", in this case:
1200=1000r^2 divide both sides by 1000
1.2=r^2 take the square root of both sides
1.2^(1/2)=r so the equation is:
f=1000(1.2)^(t/2), so in 13 hours
f=1000(1.2)^(13/2)
f=1000(1.2)^(6.5)
f≈3271 bacteria (to the nearest whole number)
Answer:
x = 3
Step-by-step explanation:
(4/5)^x = 64/125 means that 4^x / 5^x = 64/125
x can only be 3 because 4^3 = 64 and 5^3 = 125
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Answer:
114 marbles.
Step-by-step explanation:
Let the number of red marbles be r
Let the number of black marbles be b
<u>Given the following data;</u>
Total number of marbles = 120
Translating the word problem into an algebraic equation, we have;
.......equation 1
........equation 2
Substituting the value of "r" into equation 2, we have;



b = 6 marbles.
To find the number of red marbles;
From equation 1;
Substituting the value of "b" into equation 1, we have;

<em>r = 114 marbles.</em>
<em>Therefore, there are 114 red marbles in the bag. </em>
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