Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
The value of the expression 5x – 2y + (7x – y) when x = 7 and y = -2 is 90
<h3>How to evaluate the expression?</h3>
The expression is given as:
5x – 2y + (7x – y)
Substitute x = 7 and y = –2 in the above expression
5 * 7 - 2 * -2 + (7 * 7 + 2)
Evaluate the expression
90
Hence, the value of the expression 5x – 2y + (7x – y) when x = 7 and y = -2 is 90
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59° + 81°+ x° = 180°
140° + x° = 180°
x = 40°
I assume that 0.53 with a bar means the decimal fraction in which 3 is repeating.
24/45, 8/15, and 48/90 all result in the same decimal value. Thus, we are simply looking for the one that is fully simplified.
The correct answer is 8/15.
Hope this helps!
The first column. The rule for that column is y = x * -4.