A d-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of the first piece. Which equation can be used to describe this situation (where a represents the length of the first piece)

a+2a+1+5a=d
a+a/2+1+5a=d
a−2a+1+5a=d
a+2a+5a=d

In 2017, State A produced 800
million pounds of apples more than twice the amount of apples in State B. Which equation can be used to describe this situation (where a
represents the amount of apples grown in State A and b
represents the amount of apples grown in State B)?

b=2a−800
a=2b+800
b=2a+800
a=2b−800

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AFOKE88 AFOKE88 · Answer 1 · 2022-08-27T10:48:58+02:00

1) The equation that can be used to describe this situation is; a + 2a + 1 + 5a = d

2) The equation that can be used to describe this situation is; a = 2b + 800

Length of original piece = d

length of first piece = a

The second piece is twice as long as the first piece. Thus;

Length of second piece = 2a

The third piece is one inch more than five times the length of the first piece. Thus;

Length of third piece = 1 + 5a

Thus, equation for total length is;

a + 2a + 1 + 5a = d

2) State A produced 800 million pounds of apples more than twice the amount of apples in State B.

If a represents the amount of apples grown in State A and b represents the amount of apples grown in State B, then we have;

a = 2b + 800

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