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kps26pd2mea
23.07.2019 •
Mathematics
Julia needs to make a box in the shape of a rectangular prism with a height of 3 inches and a volume of 243 cubic inches. the dimensions, in inches, must be whole numbers greater than 1. julia claims that the length and the width must be equal. part a: what dimensions would support julia's claim about the length and with of the box? part b: what dimensions would not support julia's claim about the length and width of the box. part a length = part a width= part b b width=
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Ответ:
243 = LW(3), so LW = 81, where L & W are whole numbers greater than 1. There are only 3 possible pairs of values for this: 27*3, 9*9, and 3*27 (we cannot use 1*81 or 81*1, since we need dimensions > 1).
Part A. This could be true if Length = 9 in and Width = 9 in, as 9*9 = 81.
Part B. The claim could be false if Length = 27 in and Width = 3 in, as 27*3 = 81, but 27 is not equal to 3.
*Note that the width cannot be longer than the length.
Ответ:
sqrt 81 = 9; L = 9 ; W = 9 inches
Part B.
if length =27 , width =3, though 27*3 = 81 but then 27 is not equal 3. So false
Ответ:
3(5)+3x=40-4
Step 2: simplify
15+ 3x= 36
Step 3: subtract 15 from both sides
3x-15=36-15
3x= 21
Step 4: get x alone
3x/3=21/3
x=7
Based on the data, each necklace is worth $7.00
don't forget to check!
3(5)+3(7)=36
15+21=36
36=36