# algebra

A 28​-inch
board is to be cut into three pieces so that the second piece is
twicetwice
as long as the first piece and the third piece is
44
times as long as the first piece. If x represents the length of the first​ piece, find the lengths of all three pieces
1st piece x=28
2nd piecex=28 squared which is 784
3rd piece 28 to the fourth power which is 3.77

1. 👍
2. 👎
3. 👁

Be patient. All of our tutors are volunteers, and we don't like to be hounded. We answer the questions we can when we can.

1. 👍
2. 👎
👤
Ms. Sue
2. what's all this power stuff?

1st piece = x
2nd piece = 2x
3rd piece = 4x

So, you have
x+2x+4x = 28
x = 4

1. 👍
2. 👎
3. A ​20 inch board is 4 times to be cut into three pieces so that the second piece is as long as the first piece and the third piece is 5 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?

1. 👍
2. 👎

## Similar Questions

1. ### Math

A 14 inch board is to be cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece. If x represents the length of the first piece find the lengths of

2. ### math

How many 1/8-inch pieces of ribbon can be cut from a piece of ribbon that is 3/4 inch long?

3. ### Pre-Cal

A wire 360 inches long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

4. ### Math

A 36 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 piece is 5 times as long as the first piece. If x represents the length of the first piece find the length

1. ### algebra

a 38 inch piece of steels is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than four times the length of the first piece. find the lengths of pieces.

2. ### Operations with Fractions

Darion needs 20 pieces of string 3/8 inch in length. He cut a 4 7/8 inch piece of string into pieces that are 3/8 of an inch long each. How many more pieces of string of string does he need?

3. ### math

A 24-inch piece of string is cut into two pieces. One piece is used to form a circle and the other is used to form a square. How should the string be cut so that the sum of the areas is a minimum?

4. ### math

63 inch pipe is cut in to two pieces. one piece is two times the length of the other. what is the length of the two pieces.

1. ### Mathematics

How many 1/3-inch pieces can be cut from a piece of ribbon 4/9 of an inch long?

2. ### algebra

a 25 inch piece of a steel rod is cut into 3 pieces so that the length of the second piece is twice the length of the first piece.The third piece is 1 inch longer than 5 times the length of the first piece.What are the lengths of

3. ### Mathematics

How many 1/4​-inch pieces can be cut from a piece of ribbon 7/20 of an inch​ long?

4. ### Math

The length of a rectangular board is 10 cm longer than its width. The width of the board is 26 cm. the board is cut into 9 equal pieces. What is the area of each piece? What are the possible dimensions of each piece?