Mathematics, 23.05.2021 05:00 jones03riley
Q2. Luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the numbers on each pair of cards and calculates
the lowest common multiple (LCM) of the four sums. For example, the
pairs could have been
{7,3}, {2,6}, {5,1}, {8,4}.
In this case, the pair sums would have been 10, 8, 6, 12 respectively,
giving an LCM of 120. Pair sums are not necessarily different.
a) If Luke obtained an LCM of 24, find two different ways in which the
cards could have been paired.
b) Explain why Luke could not obtain an LCM of 39.
c) Luke now takes 20 cards numbered 1 to 20. Show how the cards can
be paired to give an LCM of 60.
d) Luke now takes six cards numbered 1 to 6 but he groups them into
two sets of three. He finds the sums of the numbers in each triple and
then finds the LCM of these two triple sums. What is the smallest
LCM he can obtain?
Answers: 1
Mathematics, 21.06.2019 17:00, mmassaro19
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Mathematics, 21.06.2019 17:20, organicmemez
Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?
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Mathematics, 21.06.2019 19:30, 22emilyl530
Bobby bought 1.12 pounds of turkey at a cost of 2.50 per pound. carla bought 1.4 pounds of turkey at a cost of 2.20 per pound. who spent more and by much?
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Q2. Luke has a set of cards numbered 1 to 8, which he arranges in pairs. He notes the sum of the num...
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