The rule starting with five. 5 marbles in first line.
Every consecutive line has a number that is four less than twice the previous line.
marbles in second line = 2(marbles in first line) - 4
So the number of marbles in second line = 2(5) -4 = 10-4 = 6
marbles in third line = 2(marbles in second line) - 4
So the number of marbles in second line = 2(6) -4 = 12-4 = 8
marbles in fourth line = 2(marbles in third line) - 4
So the number of marbles in fourth line = 2(8) -4 = 16-4 = 12
marbles in fifth line = 2(marbles in fourth line) - 4
So the number of marbles in fifth line = 2(12) -4 = 24-4 = 20
marbles in sixth line = 2(marbles in fifth line) - 4
So the number of marbles in sixth line = 2(20) -4 = 40-4 = 36
36 marbles must be in the sixth line.
The distance between points M and N according to the task content is; 9.8 meters.
<h3>What is the distance between points M and N?</h3>
From observation of the task content information; it can be deduced for a fact that the line segment MN which joins points M and N is parallel to the line JK. This follows from the fact that M and N are midpoints KL and JL respectively.
Hence, it follows that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality;
NM/19.6 = 7.4/(2×7.4)
NM = 19.6/2 = 9.8 meters.
This follows from congruence theorems in which case, the ratio of corresponding sides of congruent triangles are equal.
Read more on congruent triangles;
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Answer:
2
Step-by-step explanation:
(1-5)/(-3+1) = -4/-2 = 2
First, convert 3/5 to a percent by multiplying it by 20/20, getting 60/100, or 60%. Then, find 60% of 40 by multiplying 60 by 40 to get 2,400 and divide it by 100 to get 24, meaning Mark spend $24 on both books. Each of the books cost $12, as 24/2 is 12.
Answer:
6x-12-3x+2
Step-by-step explanation: