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ruslelena [56]
2 years ago
5

the students in Jake's class , 6 have visited a zoo and 6 have visited a factory 3 students have visited both a zoo and a factor

y . How many students have visited a zoo but not a factory ?
Mathematics
1 answer:
AURORKA [14]2 years ago
6 0

Answer:

3

Step-by-step explanation:

6 have visited a zoo.

6 have visited a factory.

3 visited both.

Of the 6 who visited a zoo, 3 also visited a factory.

Of the 6 who visited a factory, 3 also visited a zoo.

Here is the list of students:

3 visited a zoo but not a factory.

3 visited a factory but not a zoo.

3 visited both.

Answer: 3

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
AVprozaik [17]

Answer:

The correct answer is Option 4: 12

Step-by-step explanation:

Given equation is:

6-\frac{3}{4}x+\frac{1}{3} = \frac{1}{2}x+5

We have to find a number that is common multiple of all the denominators or least common divisor

So to find the LCM

The numbers in denominator are: 4,3,2

So,

4=> 4,8,12,16\\3 => 3,6,9,12,15\\2=> 2,4,6,8,10,12

It can clearly be seen that 12 is the LCM of all three numbers so the equation will be multiplied with 12 to eliminate the fractions.

12*6-12*\frac{3}{4}x+12*\frac{1}{3} =12* \frac{1}{2}x+12*5\\72-9x+4 = 6x+60

Hence,

The correct answer is Option 4: 12

6 0
3 years ago
Zoologists are studying two newly discovered species of insects in a previously unexplored section of rain forest. They estimate
salantis [7]
The population Pa of insect A after t years is given by the equation 
     Pa = 1.3(1-0.038)^t 
while the population Pb of insect B after t years is 
     Pb = 2.1(1-0.046)^t

We equate the above expressions to find the number of years t it will take the two populations to be equal: 
     Pa = Pb
     1.3(1-0.038)^t  = 2.1(1-0.046)^t
     1.3(0.962)^t  = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.

We can now solve for t:
     (0.962)^t / (0.954)^t = 2.1/1.3
     (0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
     t = log (2.1/1.3) / log (0.962/0.954)
     t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
8 0
3 years ago
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<img src="https://tex.z-dn.net/?f=8%20%5Cfrac%7B1%7D%7B154%7D%20%20%5Csqrt%5B4%5D%7B%3F2%7D%20" id="TexFormula1" title="8 \frac{
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hope this helps:) htdftdsybmiyc

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zubka84 [21]
18/97 to the nearest hundreth is 0.18
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Which of these debts could possibly be forgiven under Chapter 7 bankruptcy? A.Child support. B.A student loan. C.Alimony. D.A mo
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