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dangina [55]
3 years ago
12

The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. after 3 hours

it is observed that 600 bacteria are present. after 10 hours 4000 bacteria are present. what was the initial number of bacteria? (round your answer to the nearest integer.)
Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
Ten thousand I believe let me know if wrong that’s what my math got
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Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

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Find the outlier in the set of data.(
Ksivusya [100]
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What is 34 x 45 - 14x (5235+-42) / 24x
Musya8 [376]

Answer:

3(2040x-4039)/4x

Step-by-step explanation:

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Can you please help me on this question 8(4-x)=7x+2
kati45 [8]

Answer:

2=x

Step-by-step explanation:

8(4-x)=7x+2

Distribute

32 - 8x = 7x+2

Add 8x to each side

32 - 8x+8x = 7x+8x+2

32 = 15x+2

Subtract 2 from each side

32-2 = 15x+2-2

30 = 15x

Divide each side by 15

30/15 = 15x/15

2 =x

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3 years ago
Last night Erin completed 5/6 of the homework assignment. Tom completed 1/3 of the same assignment. How much more of the assignm
Lynna [10]

Answer:

50 more

Step-by-step explanation:

5/6=0.83= 83%

1/3=0.33= 33%

83%-33%= 50

3 0
3 years ago
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