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3 years ago

How many fourths are in 3 fourths?

Mathematics

1 answer:

Tems11 [23]3 years ago

7 0

Answer:

There are three fourths in 3 fourths

Step-by-step explanation:

Fourth represents $\frac{1}{4}$

Therefore, 3 fourths will be given as:

$3\times (\frac{1}{4}) = \frac{3}{4}$

Therefore,

No. of fourths in 3 fourths = $\frac{\frac{3}{4}}{\frac{1}{4}}$

No. of fourths in 3 fourths = $\frac{3}{4}\times \frac{4}{1} = 3$

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A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential deca

77julia77 [94]

Answer:

There will be 50 bacteria remaining after 28 minutes.

Step-by-step explanation:

The exponential decay equation is

$N=N_0e^{-rt}$

N= Number of bacteria after t minutes.

$N_0$ = Initial number of bacteria when t=0.

r= Rate of decay per minute

t= time is in minute.

The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.

N=200

$N_0$ = 500

t=11 minutes

r=?

$N=N_0e^{-rt}$

$\therefore 200=500e^{-11r}$

$\Rightarrow e^{-11r}=\frac{200}{500}$

Taking ln both sides

$\Rightarrow ln| e^{-11r}|=ln|\frac{2}{5}|$

$\Rightarrow {-11r}=ln|\frac{2}{5}|$

$\Rightarrow r}=\frac{ln|\frac{2}{5}|}{-11}$

To find the time when there will be 50 bacteria remaining, we plug N=50, $N_0$ = 500 and $r}=\frac{ln|\frac{2}{5}|}{-11}$ in exponential decay equation.

$50=500e^{-\frac{ln|\frac25|}{-11}.t}$

$\Rightarrow \frac{50}{500}=e^{\frac{ln|\frac25|}{11}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{50}{500}|=ln|e^{\frac{ln|\frac25|}{11}.t}|$

$\Rightarrow ln|\frac{1}{10}|={\frac{ln|\frac25|}{11}.t}$

$\Rightarrow t= \frac{ln|\frac{1}{10}|}{\frac{ln|\frac25|}{11}.}$

$\Rightarrow t= \frac{11\times ln|\frac{1}{10}|}{{ln|\frac25|}}$

$\Rightarrow t\approx 28$ minutes

There will be 50 bacteria remaining after 28 minutes.

3 0

3 years ago

Solve for x<br><br> (please write work)

Aleks04 [339]

Answer:

x = -9

Step-by-step explanation:

12 + 2x + 24 = 27 + x

(12 + 24) + 2x = 27 + x

36 + 2x = 27 + x

subtract 27 from both sides

36-27 + 2x = 27-27 + x

9 + 2x = x

subtract x from both sides

9 + x = 0

subtract 9 from both sides

x = -9

(the steps could've been faster but that shows the most work)

check:

12 + 2(-9) + 24 = 27 + (-9)

36 - 18 = 18

18 = 18

True!

so -9 is correct

7 0

1 year ago

Read 2 more answers

PLS HELP!!! PLS MAKE SURE YOUR ANSWER IS 100% CORRECT!!! There are 84 students in a speech contest. Yesterday, 1/6 of them gave

valentina_108 [34]

Answer:

Step-by-step explanation:

7. 1/4 of 84 is 21, then 1/3 of that is 7

6 0

2 years ago

Read 2 more answers

kvv77 [185]

Answer:

Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.

Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.

8 0

2 years ago

Rosana construindo um galinheiro no fundo de sua residencia utilizou 4 galoes para o transporte do material. Um dos galoes era f

LiRa [457]

Question: Rosana building a chicken coop at the bottom of your residencia used 4 gallons for the transport of the material. One of gallons was fragile and not make it. What gallon not stand it? (a) the water
(b) the mass of c the brita
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7 0

2 years ago