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ashhuizing
01.07.2019 •
Mathematics
Which ordered pair is a solution to this equation? 3x + 7y = 13 a. (4, 1) b. (2, 1) c. (3, 1) d. (13, 2)
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Ответ:
a) Peter babysits a total of 6 days each week.
Falseb) Peter babysits either Saturday or Sunday.
Truec) Peter babysits 80% of the days Monday through Friday.
True.d) Peter babysits 90% of the total days each week.
FalseExplanation:
1. Peter babysits his sister on Monday and Friday.
that is 2 days2. He babysits for his neighbor 40% of the days Monday through Friday.
40% of 5 days is 0.40 × 5 = 2 days3. He babysits for his sister and his neighbor on different days.
Then, he babysits 2 + 2 = 4 days Monday through Friday.4. On the weekend, Peter babysits 50% of the days.
That is one additional day, and makes a total of 5 days in a weak.Statements:
a) Peter babysits a total of 6 days each week.
False: we calculated 5 days in a week.b) Peter babysits either Saturday or Sunday.
True: since, on the weekends he babysits 50% of the days: that is one day which may be either Saturday or Sunday.c) Peter babysits 80% of the days Monday through Friday.
80% of 5 is 0.8 × 5 = 4, which is what we calculated on the point 3 above. Then, it is true.d) Peter babysits 90% of the total days each week.
90% of 7 is 0.9 × 7 = 6.3. On point 4 above, we calculated that he babysits 5 days in a week. Thus, this is false.