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SpyIntel [72]
3 years ago
7

Anna is preparing the soil in her garden for planting tomatoes . the directions say to use 4 pounds of fertilizer for 120 square

feet of soil. the area of the garden is 180 square feet. please help me you will get 81 points
Mathematics
2 answers:
larisa86 [58]3 years ago
8 0

Answer:

6 pounds of fertilizer

Step-by-step explanation:

we know that

The directions say to use 4 pounds of fertilizer for 120 square feet of soil

so

using proportion

Find out how many pounds of fertilizer to use for 180 square feet of soil

Let

x ----> the number of pounds of fertilizer to use

\frac{4}{120}\frac{lb}{ft^2}=\frac{x}{180}\frac{lb}{ft^2}\\\\x=180(4)/120\\\\x=6\ lb

morpeh [17]3 years ago
8 0

Answer:

6 pounds of fertilizer is required to cover an area of 180 square feet.

Step-by-step explanation:

We are given the following in the question:

We have to use 4 pounds of fertilizer for 120 square feet of soil.

We find the equivalent ratio of area of soil and amount of fertilizer used.

Ratio =

\displaystyle\frac{\text{Area of soil}}{\text{Amount of fertilizer used}} = \frac{120}{4} = \frac{30}{1}  =30:1

This means that 30 square feet of soil requires 1 pound of fertilizer.

Area of the garden = 180 square feet

Let x be the amount of fertilizer required.

Thus, we can write:

\displaystyle\frac{30}{1} = \frac{180}{x}\\\\x = \frac{180}{30} = 6

Thus, 6 pounds of fertilizer is required to cover an area of 180 square feet.

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What is the volume of this triangular prism? 313.6cm3 506.8cm3 5,676.16cm3 11,352.32cm3
lyudmila [28]

The question is incomplete. Here is the complete question:

What is the volume of this triangular prism?

Base length = 22.4 cm

Height = 18.1 cm

Length = 28 cm

A) 313.6 cm3

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C) 5,676.16 cm3

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Answer:

V=5,676.16\ cm^3

Step-by-step explanation:

Given:

The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.

The volume of a triangular prism is defined by the formula:

V=(Area\ of\ base)\times (length)

Here, the base is triangular and the area of a triangle is:

A=\frac{1}{2}base \times height

Therefore,  the volume of the triangular prism is given as:

V=\frac{1}{2}(base\times height\times length)

Now, plug in the given values and solve for the volume 'V'.

V=\frac{1}{2}(22.4\ cm\times 18.1\ cm\times 28\ cm)\\\\V=\frac{1}{2}(11,352.32\ cm^3)\\\\V=5,676.16\ cm^3

Therefore, the correct answer is the third option.

V=5,676.16\ cm^3

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