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ruslelena [56]
3 years ago
9

Machine A can complete a certain job in x hours. Machine B can complete the same job in y hours. If A and B work together at the

ir respective rates to complete the job, which of the following represents the fraction of the job that B will not have to complete because of A's help?A) (x – y)/(x + y)B) x/(y – x)C) (x + y)/(xy)D) y/(x – y)E) y/(x + y)
Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

\frac{y}{x+y}

Step-by-step explanation:

The required answer is the rate at  which Machine A  works when the two machines are combined.

Note: the rate of doing work is express as

rate=\frac{1}{time taken} \\

Hence we can conclude that Machine A working rate is

machine A=\frac{1}{x} \\ and machine B working rate is

machine B=\frac{1}{y} \\

When the two machine works together, the effective working rate is

\frac{1}{x}+\frac{1}{y}\\\frac{xy}{x+y}\\

The fraction of the work that Machine B will not have complete because of Machine A help is the total work done by machine A

Hence the fraction of work done by A is expressed as

\frac{1}{x}*combine working rate

\frac{1}{x}*\frac{xy}{x+y}\\\frac{y}{x+y} \\

Hence the fraction of the work that Machine B will not have complete because of Machine A help is the total work done by machine A is \frac{y}{x+y} \\

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iVinArrow [24]

Answer: 0.25g<2.50.... g<10

Step-by-step explanation: Let us say that the number of gumballs bought is represented by the variable g. In this case, the question is asking how many gumballs can be bought without surpassing the price of $2.50. We know that each gumball is $0.25, therefore the number of gumballs we buy times $0.25 has to be less than $2.50. Hence, the inequality would be 0.25g<2.50. If we were to solve this then g<2.50/0.25-----> g<10. In conclusion, the number of gumballs you can buy has to be less than 10. Thank you!

6 0
3 years ago
The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time fol
Lady_Fox [76]

Answer:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean is:

M = \frac{a+b}{2}

The standard deviation is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

Arrival time of 9:18 am and a late arrival time of 9:41 am.

9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.

Mean:

M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5

Standard deviation:

S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

8 0
3 years ago
How many 1/8-inch pieces of ribbon can be cut from a piece of ribbon that is 3/4 inch long? and I cant be a friction
Anarel [89]

Answer:

100 inches

Step-by-step explanation:

8 0
3 years ago
WILL MARK BRAINLIEST FEELING LAZY WORTH 15 POINTS
Zinaida [17]

The irrational numbers are: √8, √10 and √15

Step-by-step explanation:

A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.

"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"

So in the given options

\sqrt{4} = 2

Which can be written in the required form so √4 is a rational number

\sqrt{8}=2.828427124746190097603.....

√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{10}=3.16227766016837933....

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{15}=3.87298334620.....

√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{36} = 6

Which can be written in the required form so √36 is a rational number

Hence,

The irrational numbers are: √8, √10 and √15

Keywords: Rational numbers, Irrational numbers

Learn more about rational numbers at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

4 0
3 years ago
Please show work thank you
Ne4ueva [31]

Answer: 70 mph

Step-by-step explanation:

8 0
3 years ago
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