Answer:
Total number of 1 2/3 feet long pieces that will be cut=8 pieces
Step-by-step explanation:
This can be expressed as;
Total length of the board=length per piece×number of pieces
where;
Total length of board=14 1/4 feet
Length per piece=1 2/3 feet
Number of pieces=n
Replacing;
14 1/4=1 2/3×n
(57/4)=(5/3)n
n=(57/4)×(3/5)=8.55
Total number of 1 2/3 feet long pieces that will be cut=8 pieces
Answer:
488 = r
Step-by-step explanation:
362 = -126 + r
126 +126
----------------
488 = r
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Answer: Yes, it means 3 times the square root of 2. First, find the square root of 2. Then multiply that value by 3. You can also type it into a calculator, and it will give you the exact value.
Answer:
x = -36, y = 6, z = -6
Step-by-step explanation:
The requirement x/z = -z means x = -z².
The requirement x/y = z means x = yz.
These two requirements together mean yz = -z², or y = -z.
The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).
Using z=-6, we have x = -z² = -36; y = -(-6) = 6.
For some positive integer n, ...
... x = -36n², y = 6n, z = -6n.

Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.
i.e
therefore, the common difference of the above Arithmetic progression is -4 .