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A farmer is planting a straight row of crops with 3 feet between each plant is 23 are planted what is the distance between the first and last plant

Respuesta :

Answer
66 feet

Explanation
23 plants have been planted and the distance between one plant and the other is 3 feet. 
The number of spaces between the plants is;

23 - 1 = 22

Each space is 3 feet. 

The distance between the first and the last plant is;

3 × 22 = 66


The distance between the first and last plant is [tex]\fbox{\bf{\text{66 feet}}}[/tex].

Further explanation:

Given:

A farmer is planting a straight row of crops with 3 feet between each plant.

Calculation:

Consider the number of plant as [tex]x[/tex].

The number of spaces [tex]S[/tex] between the plants is calculated as follows:

[tex]S=x-1[/tex]                                                                                  ……(1).

Since, the number of plants are 23, Substitute 23 for [tex]x[/tex] in equation (1) to obtain the number of spaces between the plants.

[tex]\begin{aligned}S&=23-1\\&=22\\\end{aligned}[/tex]

Since, the distance between each plant is 3 feet, the distance [tex]D[/tex] between the first and last plant is calculated as follows:

[tex]D=3S[/tex]                                                                                      ……(2)

Substitute 22 for [tex]S[/tex] in equation (2) to obtain distance [tex]D[/tex] between the first and last plant.

[tex]\begin{aligned}D&=3\left({22}\right)\\&=66\,\,{\text{feet}}\\\end{aligned}[/tex]

Thus, the distance between the first and last plant is  [tex]\fbox{\bf{\text{66 feet}}}[/tex].

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Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:Plant, farmer, crops, feet, A farmer is planting, space between the plant is 3 feet, linear equation, straight lines, function, number of spaces.