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Andru [333]
3 years ago
9

Use a common denominator to write an equivelent fractions for each fraction.

Mathematics
1 answer:
sergejj [24]3 years ago
8 0
Sorry for not giving you the calculation here -

5/12 and 2/9 have denominators divisible by only 3 right? Well The common denominator that can then change is 3 because that's the only number they have in common (except 1) 
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To make a 30-pound mixture of two candies to sell for $2 per pound. How many pounds of each candy should be used If red licorice
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8 0
3 years ago
Write 2100 in scientific notation.
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8 0
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Read 2 more answers
a particular strain of bacteria doubles in population every 10 minutes. Assuming you start with a single bacterium in a petri di
ser-zykov [4K]

Answer:

C. 32,768

Step-by-step explanation:

Step 1

Convert the number of hours to minutes

2.5 hours to minutes = 2 hrs 30 minutes to minutes is calculated as

1 hour = 60 minutes

2 hours 30 minutes =

Cross multiply

(60 minutes × 2 hours) + 30 minutes = 150 minutes.

Step 2

We are told in the question that the bacteria population doubles every 10 minute interval

Find the number of intervals in 150 minutes

= 150 minutes / 10 minutes interval

= 15 intervals

Step 3

The number of bacteria present after 2.5 hours is calculated using the formula of

= Amount of bacterium × 2ⁿ

Where n = number of intervals = 15

Amount of bacterium = single bacterium = 1

Number of bacteria = 1 × 2¹⁵

= 32,768

Therefore, when you start with a single bacterium in a petri dish, the number of bacteria that will there be in 2.5 hours is 32,768

6 0
3 years ago
What is length of the altitude of the equilateral triangle below?
Lina20 [59]

Answer: OPTION D.

Step-by-step explanation:

Given the equilateral triangle shown in the figure, you need to find the value of the altitude "a".

In order to find the altitude, you can use the following Trigonometric Identity:

tan\alpha =\frac{opposite}{adjacent}

In this case you can identify that:

\alpha=60\°\\\\opposite=a\\\\adjacent=2\sqrt{3}

Therefore, you can substitute values into tan\alpha =\frac{opposite}{adjacent}:

tan(60\°)=\frac{a}{2\sqrt{3}}

Finally, you must solve for the altitude "a". Then, this is:

 (tan(60\°))(2\sqrt{3})=a\\\\a=6

Notice that this result matches with the value shown in Option D.

3 0
3 years ago
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