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3 years ago

The population of a bacteria sample doubles every 6 hours. How long would it take for the population to triple?

Mathematics

2 answers:

seraphim [82]3 years ago

8 0

The way to solve this question is to essentially reverse the equation I used in the other answer.

I would solve this with some theoretical values. If you start with 3, how long would it take for it to triple, or reach 9.

the equation would look like 9 = 3(2)^t/6, note how the instead of 1/2 it is now 2 in the parenthesis, as it doubles every 6 hours rather than halves every amount of hours.

When placed into an algebra calculator, the answer should be about 9.5 hours

Flura [38]3 years ago

3 0

Answer is approximently 9.5 HRS. Hope this helps!

Please mark brainliest!

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Determine the coordinator of the point<br>of intersection of lines<br>3x-2y=13 and 2y+x+1=0

finlep [7]

Answer:

(3,-2)

Step-by-step explanation:

Given equations of line

3x-2y=13

2y+x+1=0

=> x = -1 -2y

Point of intersection will coordinates where both equation have same value of (x,y)

top get that we have to solve the both equations by using method of substitution of simultaneous equation.

using this value of x in 3x-2y=13, we have

3(-1-2y) -2y = 13

=> -3 -6y-2y = 13

=> -8y = 13+3 = 16

=> y = 16/-8 = -2

x = -1 - 2y = -1 -2(-2) = -1+4= 3

Thus, point of intersection of line is (3,-2)

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2 years ago

What is 30% of 8 cups?

uranmaximum [27]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1:}\\\\p\%=\dfrac{p}{100}\\\\30\%=\dfrac{30}{100}=0.3\\\\30\%\ of\ 8\ cups\to0.3\cdot8\ cups=2.4\ cups$

$\bold{METHOD\ 2:}\\\\\begin{array}{ccc}100\%&-&8\ cups\\\\30\%&-&x\end{array}\qquad\text{cross multilpy}\\\\100x=(30)(8)\\\\100x=240\qquad\text{divide both sides by 100}\\\\\dfrac{100x}{100}=\dfrac{240}{100}\\\\x=2.4$

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3 years ago

What is the greatest common factor of 10x and 22x“?

BartSMP [9]

Answer:

Step-by-step explanation:

x and 2 are common to both 10x and 22x, so 10x + 22x = 2x(5 + 11)

The GCF is 2x.

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3 years ago

Solve:<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bzz%7D%7B4%7D%20%20%2B%205%20%5Cgeqslant%205.5" id="TexFormula1" title="

allochka39001 [22]

$\bf \cfrac{zz}{4} + 5\geqslant 5.5\implies \stackrel{\textit{subtracting 5 from both sides}}{\cfrac{zz}{4}\geqslant 0.5}\implies \stackrel{\textit{multiplying both sides by 4}}{zz \geqslant 2}$

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3 years ago

If the company provides 1 1/4 vacation days to its employees every month,how many vacation days does an employee get every year?

FromTheMoon [43]

We know there are 12 months in a year so we would multiply 1 1/4 by 12. We can write 1 1/4 as 1.25 (to make it easier to multiply). 12x1.25=15
Your answer is 15 vacation days in one year

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3 years ago