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KIM [24]
4 years ago
10

Two laboratory technicians are running product quality tests. One technician takes 6 minutes less than the

Mathematics
1 answer:
kodGreya [7K]4 years ago
3 0

Answer:

The time it will take will be ;

t = (2x -6)/(x^2-6x)

Where x is the amount of time

in minutes taken by the technician who is slower

Step-by-step explanation:

We want to write the time it would take to run the tests if the technicians work together.

Let the time taken by the first technician be x minutes

The time that would. taken by the second is 6 minutes less which is (x -6) minutes

So if they work together, how long will it take?

That would be ;

t = 1/x + 1/(x-6)

t = (x + x -6)/(x(x-6))

t = (2x -6)/(x^2 -6x)

The time it will take if they both work together is ;

t = (2x -6)/(x^2-6x)

where x minutes is the amount of time taken by the technician who is slower of the two

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To find the circumference calculate pi x the diameter of the circle.
Since the radius is 14, the diameter is 28. 3.14 x 28 = about 87.96
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4 years ago
The difference of a number times
Hunter-Best [27]
7 x  - 5 = 8 
7 x = 8 + 5
7 x = 13
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7 ( 13/7) - 5 = 8 
91/7 - 35/7 = 56/7
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5 0
4 years ago
There are 40 people at Drake’s sweet sixteen party. Drake’s only rule is that everyone in the party must meet and shake each oth
Nonamiya [84]

Answer:

Given:

Total Number of people at the Drake’s sweet sixteen party = 40

Everyone in the party must meet and shake each other’s hand

1) How many handshakes are there altogether?

There was total of 780 handshakes in the party.

2. How did you get your solution:

If you have 7 people, person seven shakes six other hands, person  

six shakes five other hands, person five shakes fours other hands,  

person  ,four shakes three other hands, person three shakes two other hands,  and person two shakes one hand.  Another way to see it is,

Person 7  +person 6 + person 5 + person 4 +person 3 + person 2 +  person 1

= 6+5+ 4+3+2+1

=>21

so similairly in case of 40 persons

= 39+38+37+36+37+36+35+34 .................+3+2+1

=>780

3) What’s the quickest way to figure this out if Drake invited 1,000 people?

People at Party               Number of Handshakes

     2                                                     1

     3                              1 + 2              = 3

     4                            1 + 2 + 3          = 6

     5                          1 + 2 + 3 + 4      = 10

     6                        1 + 2 + 3 + 4 + 5  = 15

     .

     .

     .                                          

     n                              1 + 2 + ...+ (n-1) =  --------     \frac{n(n-1)}{2}

Hence for n persons the number of handshakes will be  \frac{n(n-1)}{2}

So for 1000 persons the number of handshakes will be

=>\frac{1000(1000-1)}{2}

=>\frac{1000(999)}{2}

=>\frac{999000}{2}

=>499,500

                                                     

3 0
3 years ago
What is the equation of the given circle?
azamat

Answer:

the last choice

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve the equation: n + 32 = 60.
Digiron [165]
N + 32 = 60

First, so basically, we are trying to find a number that can add up with 32 to equal 60. The easiest route to solve this is to simply take 32 and subtract it from 60.
n = 60 - 32

Second, once we subtract, we will be given the answer and know what 'n' is. Subtract 60 - 32 to get your answer. 60 - 32 = 28
n = 28

Third, know that we know that the answer to 'n' is 28, we can check it by adding 28 + 32. Your answer should be 60, and 28 is the correct answer.

Answer: \fbox {n = 28}
4 0
3 years ago
Read 2 more answers
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