Elina’s friend Luke said that he could make more rectangles with 24 tiles then Elaine’s 10 tiles do you agree with Luke’s explai
2 answers:
Answer:
Yes, Luke's statement is correct and he could make more rectangles with 24 tiles than than Elaine's 10 tiles.
Step-by-step explanation:
Clearly, a tile is in the shape of a square.
Let 'a' be the side of a tile.
If we place two tiles side by side, we will get a rectangle whose length is '2a' and width is 'a'.
To make a single rectangle, the minimum number of tiles needed = 2.
So, Luke can make a maximum number of = 12 rectangles.
But, Elaine can make = 5 rectangles.
Hence, Luke's statement is correct and he could make more rectangles with 24 tiles than Elaine's 10 tiles.
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Answer:
The cost of six magnets is $1.10
Step-by-step explanation:
The cost of 1 magnet = $ 0.20
Cost of 2 Magnets = $ 0.38
Now, the series of the cost of magnets is:
0.20 , 0.38, 0.56 , 0.74,...
Now, the above series forms an Arithmetic Progression as
0. 38 - 0. 20 = 0.18
and 0. 56 - 0. 38 = 0.18
Hence, the common difference of the series = 0.18
and first term of the series = 0.20
By , A.P a(n) = a + (n-1) d
⇒
or, a(6) = 0.20 + 0.9 = 1.1
or, the sixth term in the sequence is $1.1
Hence, the cost of six magnets is $1.1