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Serga [27]
3 years ago
9

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby. The floor will be 38 tiles wide and 112 tiles long. He has

a total of 4,400 tiles. Which explains whether or not he has enough tiles for the entire floor?
A. No, he does not have enough tiles. He needs 4,456 tiles, so he needs 56 more.
B. No, he does not have enough tiles. He needs 4,600 tiles, so he needs 200 more.
C. Yes, he has enough tiles. He needs only 4,146 tiles and will have 254 left over. D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.
Mathematics
2 answers:
kati45 [8]3 years ago
4 0

Answer:

 

D. Yes, he has enough tiles. He needs only 4,256 tiles and will have 144 left over.

Step-by-step explanation

Multiply the width by the length 38x112= 4,256

He has 4,400 tiles and only needs 4,256

4,400- 4,256= 144 left over tiles

just olya [345]3 years ago
3 0
Lol, 12456333225464674
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pleaseeee help!!! What is the 21st term in the arithmetic sequence in which a3 is 59 and a7 is 103 (enter only the term)
GuDViN [60]

Answer: 257

Step-by-step explanation:

Given that:

a3 = 59

a7 = 103

The nth term of an Arithmetic Progression (A. P) is given by:

an = a1 + (n-1)d

Where a1 = first term of the sequence ;

d = common difference

Therefore a3 = 59 can be represented thus:

a3 = a1 + (3-1)d = 59

a3 = a1 + 2d = 59 - - - - (1)

a7 = 103

a7 = a1 + (7-1)d = 103

a7 = a1 + 6d = 103 - - - - - (2)

Subtracting (2) from (1)

(2d - 6d) = (59 - 103)

-4d = - 44

d = 11

Substitute d= 11 into (1)

a1 + 2d =59

a1 + 2(11) = 59

a1 + 22 = 59

a1 = 59 - 22

a1 = 37

The 21st term:

a21 = a1 + (21 - 1)d

a21 = 37 + 20(11)

37 + 220 = 257

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Answer:

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Step-by-step explanation:

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