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janeou17xn
21.08.2019 •
Mathematics
Which of the following ordered pairs represents the solution to the system given below?
x − 3y = 12
2x + 6y = 60
(0,-4)
(12,0)
(3,21)
(21,3)
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Ответ:
x − 3y = 12
2x + 6y = 60
x=12+3y
2(12+3y)+6y=60
24+6y+6y=60
24+12y=60
12y=60-24
12y=36
y=36/12
y=3
and since the only answer you have with y being 3 is 21,3 the answer is D.(21,3)
Ответ:
2 x + 6 y = 60
- 2 x + 6 y = - 24
2 x + 6 y = 60
12 y = 36
y = 36 / 12
y = 3
For x :
2 x + 6 y = 60
2 x + 6 * ( 3 ) = 60
2 x + 18 = 60
2 x = 60 - 18
2 x = 42
x = 42 / 2
x = 21
Answer D : ( 21,3)
hope this helps!
Ответ:
3:40 p.m.
Step-by-step explanation:
Add 74 minutes to 1:25 p.m.; the improperly formed result witll be 1:99 p.m.; to express this properly, add 1 hour to this time and subtract 60 minutes from it:
2:39 p.m. (time at which Avery gets off the bus)
If Avery walked 61 minutes to get home and we want to know what time she arrived, we add 61 minutes to 2:39 p.m., obtaining 2:100 p.m., which must in turn be re-written as 3:40 p.m.
Avery arrived home at 3:40 p.m.
Note: another way in which to do this problem is to add 74 minutes and 61 minutes, obtaining 135 minutes, and then adding 135 minutes to 1:25 p.m. and making the necessary adjustments to the result:
1:25 p.m. + 135 minutes = 1:160 p.m., or (recognizing that 120 min = 2 hours)
3:40 p.m.