Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
It looks like the ∩ sign may be missing from the question. If you mean to find A∩C, called the intersection, you're looking for elements that are both in A and C.
{0, 2} qualifies.
Answer:
Number of children = 386
Number of adults = 287
Step-by-step explanation:
Let
x = number of children
y = number of adults
x + y = 673 (1)
1.75x + 2y = 1249.50 (2)
From (1)
x = 673 - y
Substitute x = 673 - y into (2)
1.75x + 2y = 1249.50
1.75(673 - y) + 2y = 1249.50
1177.75 - 1.75y + 2y = 1249.50
- 1.75y + 2y = 1249.50 - 1177.75
0.25y = 71.75
y = 71.75/0.25
y = 287
Substitute y = 287 into (1)
x + y = 673
x + 287 = 673
x = 673 - 287
x = 386
Number of children = 386
Number of adults = 287
