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wolverine [178]
3 years ago
14

Harriet is cultivating a strain of bacteria in a petri dish, she has 10^3 bacteria in the dish. The bacteria divided every two h

ours such that the number of bacteria has doubled by the end of every second hour. How many bacteria will Harriet have in the dish at the end of 6 hours?
Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

4000

Step-by-step explanation:

A=P(2)^(t/d)

A=future amount

P=starting amount

t=time elapsed

h=doubling time

given

P=10^3

t=6

d=2

A=10^3(2)^(6/2)

A=10^3(2)^2

A=10^3(4)

A=4*10^3

A=4000

4000 bacteria

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3 years ago
Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the sm
Softa [21]

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

2(11x)=10x^2 and

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3 years ago
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3 years ago
What is 21 1/4% expressed as a fraction?
Neporo4naja [7]

Answer:

\frac{17}{80}

Step-by-step explanation:

we have

21\frac{1}{4}\%

Convert mixed number to an improper fraction

21\frac{1}{4}=21+\frac{1}{4}=\frac{21*4+1}{4}=\frac{85}{4}

so

21\frac{1}{4}\%=\frac{85}{4}\%

Convert percent number as a fraction

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Simplify

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8 0
3 years ago
X + 2/3 = 8/9 x=__ ..........................................
stepladder [879]

Answer:

x = -6

Step-by-step explanation:

x+\frac{2}{3}=\frac{8}{9}x\\\\x  = \frac{8}{9}x - \frac{2}{3}\\\\x - \frac{8}{9}x= -\frac{2}{3}\\\\\frac{9}{9}x-\frac{8}{9}x=\frac{2}{3}\\\\\frac{1}{9}x=-\frac{2}{3}\\\\x=-\frac{2}{3}*\frac{9}{1}\\\\x=(-2)*3\\\\x = -6

6 0
3 years ago
Read 2 more answers
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