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Marianna [84]
3 years ago
9

A rope is at least 21 feet long. You want to cut it into 3 pieces. The second piece is to be twice as long as the first piece,an

d the third piece is to be one foot longer than the second piece. What is the minimum length of the first piece of rope
Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

the first piece of rope would be 4 feet

Step-by-step explanation:

4 + 8 + 9 = 21

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3 years ago
A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many mor
kow [346]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

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3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

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x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

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3 years ago
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Dahasolnce [82]

Answer:

option 1 and option 2 should be correct

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3 years ago
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