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puteri [66]
3 years ago
14

Person 1 can do a certain job in twenty-one minutes, and person 2 can do the same job in twenty-eight minutes. When completing t

he job together, which expression would be used to represent the amount of work done by person 1?
a. 21
b. 1/21
c. x/21
d. 21x
Mathematics
1 answer:
eimsori [14]3 years ago
7 0

The <em>correct answer</em> is:


C) x/21


Explanation:


Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.

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It cost $15 to enter apple farm and each apple is 0.25 writing equation in y=mx+b form to describe how much it'll cost one perso
postnew [5]

Answer:

Y=.25x+15

Step-by-step explanation:

Y is the total cost

15 is the set price

X is amount of apple that "will" be pick up ( Unknown apple that will be picked up so it is represented by X)

M is the price which is .25 per apple

6 0
3 years ago
Tickets for a concert cost $29. 00. The greatest number of tickets one person can buy is 9.If 28 peopleeach buy 9 tickets for $2
Blababa [14]

Answer: 7,308


Step-by-step explanation: 28 X 9 = 252

252 X 29 = 7,308


6 0
3 years ago
Read 2 more answers
Which is an ordered pair on the line 2.5,14 2.25,12 1.25,5 1.5,9
Savatey [412]
I would think that all but one point would be on the line.  One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation.  Next time, would you please enclose the coordinates of each point inside parentheses:  (2.5,14), (2.25,12), and so on, to avoid confusion.
                                                               14-12
slope of line thru 1st 2 points is   m = ----------------  =  2/0.25 = 8
                                                              2.50-2.25

What is the eqn of the line:     y = mx + b becomes

                                               14 = (8)(2.5) + b; find b:

14-20 = b = -6.  Then,   y = 8x - 6.

Now determine whether (12,1.25) lies on this line.  

Is 1.25 = 8(12) - 6?  Is 1.25 = 90?  No.  So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide? 



5 0
3 years ago
Determine the zeroes of the polynomial
Anna71 [15]

Answer:

3,7/6

Step-by-step explanation:

(\sqrt{x^2-4x+3} )+(\sqrt{x^{2} -9} )-(\sqrt{4x^2-14x+6} )\\=(\sqrt{x^2-x-3x+3} )+(\sqrt{(x^2-3^2})-(\sqrt{4x^2-2x-12x+6})\\ =(\sqrt{x(x-1)-3(x-1)} )+\sqrt{(x+3)(x-3)}-\sqrt{2x(2x-1)-6(2x-1)}  \\=\sqrt{(x-1)(x-3)}+\sqrt{(x+3)(x-3)}  -\sqrt{2(2x-1)(x-3)} \\=\sqrt{x-3} (\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} )\\

\sqrt{x-3} =0~gives~x=3\\or~\sqrt{x-1} +\sqrt{x+3} -\sqrt{2(2x-1)} =0\\or~ \sqrt{x-1} +\sqrt{x+3} =\sqrt{2(2x-1)} \\squaring\\x-1+x+3+2\sqrt{x-1} \sqrt{x+3} =2(2x-1)\\2x+2+2\sqrt{(x-1)(x+3)} =4x-2\\2\sqrt{x^2-x+3x-3} =2x-4\\\sqrt{x^2+2x-3} =x-2\\again ~squaring\\x^2+2x-3=x^2-4x+4\\\\2x+4x=4+3\\6x=7\\x=\frac{7}{6}

8 0
2 years ago
If triangle RST = triangle NPQ, then RT is congruent to ?. . a.NP. b.NQ. c.PQ. d.QP
lapo4ka [179]
If the triangles are given to be congruent, the corresponding angles and corresponding sides should have the same measure and lengths. From the given, side RT is congruent to side NQ. Therefore, the answer to the question is letter B. NQ. 
6 0
2 years ago
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