Answer:
The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Step-by-step explanation:
Total length of the steel = 31 inches
Let the length of the first piece = x
let the length of the second piece = y
Let the length of the third piece = z
So,
y = 2x
z = 4x + 3
x + 2x + 4x +3 = total length of the steel = 31
7x + 3 + 31
7x = 31 - 3
7x = 28
x= 4 inches
Thus; y = 2x = 2 × 4 = 8 inches
z = 4x +3 = 4×4 +3 =19 inches
∴The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Answer:
6=2+2+2
Step-by-step explanation:
-In mathematics, a quaint number is a number that can be written as the sum of two or more prime numbers.
-The multiple divisors of 6 in a factor tree are 2,2 and 2
-6 can thus be written as 2+2+2:
6=2+2+2
-Hence 6 is a quaint number
Answer:
1/4 - (2/5 + (1/3 - (3 - 7/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 - (6/2 - 7/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 - (-1/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 + 1/2 - 1/4) - 2/15)
= 1/4 - (2/5 + (4/12 + 6/12 - 3/12) - 2/15)
= 1/4 - (2/5 + (7/12) - 2/15)
= 1/4 - (2/5 + 7/12 - 2/15)
= 1/4 - (24/60 + 35/60 - 8/60)
= 1/4 - (51/60)
= 15/60 - 51/60
= -36/60
= -3/5
