For the error of the shelter Mia has a board measures 1 Square yard a second board the measure 3 feet by 3 feet and a third board the measure 36 inches by36 inches
It seems there is an error in the dimensions provided. A square yard is not equivalent to 3 feet by 3 feet or 36 inches by 36 inches.
A square yard is equal to 9 square feet. So, if Mia has a board that measures 1 square yard, it would have dimensions of approximately 3 feet by 3 feet (since 1 yard is equal to 3 feet).
Therefore, the second board mentioned, which measures 3 feet by 3 feet, could be the same size as the first board.
The third board, which measures 36 inches by 36 inches, is the same size as the second board. This measurement is equivalent to approximately 3 feet by 3 feet as well.
Simplify the expression. 6(3x−5)+2(3x−5)−8(2x−5) (1 point)
The given expression is 6(3x - 5) + 2(3x - 5) - 8(2x - 5).
To simplify the expression, we will apply the distributive property and combine like terms:
6(3x - 5) + 2(3x - 5) - 8(2x - 5)
= 18x - 30 + 6x - 10 - 16x + 40 [Distributing the coefficients]
= (18x + 6x - 16x) + (-30 - 10 + 40) [Combining like terms]
= 8x - 30 [Simplifying further]
Therefore, the simplified expression is 8x - 30.
To find the error in the shelter, we need to calculate the difference between the actual dimensions of the shelter and its intended dimensions.
First, let's convert all the measurements to the same unit. Since 1 yard is equal to 3 feet, we can convert the first board's dimension from square yards to square feet.
1 square yard = 3 feet * 3 feet = 9 square feet.
The second board's dimensions are already in feet, so no conversion is needed.
For the third board, we'll convert the dimensions from inches to feet. Since 1 foot is equal to 12 inches, the third board's dimensions are:
36 inches / 12 = 3 feet.
Now, let's calculate the intended dimensions of the shelter:
The first board measures 9 square feet.
The second board measures 3 feet * 3 feet = 9 square feet.
The third board measures 3 feet * 3 feet = 9 square feet.
To find the error, we need to subtract the actual dimensions from the intended dimensions:
For the first board: 9 square feet - 9 square feet = 0 square feet.
For the second board: 9 square feet - 9 square feet = 0 square feet.
For the third board: 9 square feet - 9 square feet = 0 square feet.
The error for all three boards is 0 square feet, indicating that their dimensions match the intended dimensions.