A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piec
e is 4 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
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.
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
To determine the percentage of deliveries Karen has completed, divide the number of deliveries completed by the total deliveries to be made. Then, multiply the quotient by 100%. This is shown below, (28 / 70) x 100% = 40% Therefore, Karen has completed 40% of her deliveries.
