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tankabanditka [31]
3 years ago
10

75000 live bacteria present in a culture in a flask. When antibiotic is added to the culture, the number of live bacteria is red

uced by half every four hours. Approximately how many hours have passed when there are 1500 bacteria left alive?
A. 22.3 hours
B. 22.6 hours
C. 22.9 hours
D. 22.2 hours
Mathematics
2 answers:
posledela3 years ago
3 0
The number of bacteria at any time t where t is number of hours is given by the equation,
                                At = Ao(1/2)^t/4
where Ao is the original number of bacteria. Substituting the known values from the equation,
                                1500 = (75000)(0.5)^t/4
The value of t from the equation is equal to 22.57 hours. 
hammer [34]3 years ago
3 0

Answer: 22.6

Step-by-step explanation:

apex

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Jillian is making accessories for the soccer team. She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches. S
Tema [17]

Answer:

Head bands: 18.58 inches of fabric

Wrist bands : 8.51 inches of fabric

Step-by-step explanation:

Jillian is making accessories for the soccer team.

For head bands

She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.

The total number of people = 39 player + 2 coaches = 41 people

Hence:

41 persons = 761.78 inches of fabric

1 person = x

Cross Multiply

41 × x = 761.78 × 1

x = 761.78/48

x = 18.58 inches

For wristbands

She also uses 331.89 inches of fabric on wristbands for just the players.

Number of players = 39 players

Hence:

39 players = 331.89 inches

1 players = x inches

Cross Multiply

39 × x = 1 × 331.89 inches

x = 331.89 inches/39

x = 8.51 inches

Therefore:

18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.

5 0
3 years ago
Which explanation correctly tells whether these ratios are equivalent and why?
Reptile [31]
<h3><u>Answer:</u></h3>

<u>Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.</u>

<h3><u>Step-by-step explanation:</u></h3>

<u>This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.</u>

  • => Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.
  • => Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.

Hoped this helped.

BrainiacUser1357

6 0
2 years ago
The speed s (in miles per hour) of a car driving on ice can by given by s=2.12√d where d is the stopping distance (in feet). Wha
Orlov [11]

You have the formula already, just plug in 30 for s (speed) and solve for d (distance).

4 0
3 years ago
When x = 5, the value of the expression 20/-25+x–2(x – 10) is –21 –9 9 19
aleksley [76]

Answer:

b

Step-by-step explanation:

b

6 0
3 years ago
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Negative numbers do not have square roots that are real numbers
MatroZZZ [7]

Answer:

Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.

8 0
4 years ago
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