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ki77a
1 month ago
15

Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the neares

t hundredth, how many cubic yards of concrete will she need? (Remember, yd3=in3÷46,656 )
Mathematics
1 answer:
zzz [12.3K]1 month ago
4 0

Answer:

2.6667yd^3

Step-by-step explanation

Concrete volume is calculated with Length * width * height.

Provided data:

height = 6 inches

To convert to yards:

1 inch = 0.0277778 yards

Thus, 6 inches = 6 * 0.0277778

This gives us 6 inches = 0.1666668 yards

Width = 8 feet

Length = 6 feet

Area = Length * Width = 48ft²

To convert to yards:

1 foot = 0.333333 yards

Hence, 48 feet = 48 * 0.333333

Area in yards squared = 15.999984yd²

Volume = 15.999984 * 0.1666668

Therefore, Volume = 2.6667 yd^3

In conclusion, she will require 2.6667yd^3 of concrete.

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Answer:

(12, 3), (-2, -5), (1, 15)

Step-by-step explanation:

The line may intersect any point where the x-coordinate is positive and the y-coordinate exceeds -1. Such points include...

(12, 3), (1, 15)

The line can also cross any point where the x-coordinate is negative while the y-coordinate is lower than -1. That point is...

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.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s
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Answer:

The variation constant is 1/9

The direct variation equation is expressed as y/x= 1/9

Step-by-step explanation:

In the case of direct variation, the formula y/x=k is used where k represents the constant of variation. For this situation, y denotes square yards and x represents square feet. Given that 27 square feet equals 3 square yards, we derive one coordinate (x₁, y₁) as (27 square feet, 3 square yards). Substituting x₁ and y₁ into our equation yields

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Consequently, the constant of variation is 1/9

Subsequently, as previously mentioned, y/x = k outlines the direct variation equation. Thus, we have y / x = 1/9 as our equation

* We can simplify the fraction since 3 divides both 3 and 27 evenly. To find the greatest common factor, you can list factors of each number and determine the highest shared factor.

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