Answer: 2.2 meters
Step-by-step explanation:
The data is:
The initial piece is 6.35 meters long.
We cut 25 pieces of 16.2cm each, so in pieces only we have:
25*16.2cm = 405cm
1m = 100cm
Then: 405cm = (405/100) m = 4.05m
And each time that we cut a piece, we have 4mm of waste.
Then we have 25 times the 4mm of waste, this means that the total waste is:
4mm*25 = 100mm
and 1000mm = 1m
100mm = (100/1000) m = 0.1m
So the total amount that was cut is:
4.05m + 0.1m = 4.15m
The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters
Since 6x - 44 and 88 degrees are the same (exterior angles), we can start off with the first equation, 6x - 44 = 88
6x - 44 = 88
+44 +44
6x = 132
÷6 ÷6
x = 22
same with the second problem (exterior angles are equal):
equation:
15x + 6 = 9x + 54
-6 -6
15x = 9x + 48
-9x -9x
6x = 48
÷6 ÷6
x = 8
Hope this helped! :D
Answer:
A.
General Formulas and Concepts:
<u>Math</u>
- Fraction conversions to decimal
<u>Algebra I</u>
- Reading a Cartesian plane
- Coordinates (x, y)
Step-by-step explanation:
Where the 2 lines intersect is the solution to the systems of equations.
5/2 would be 2.5 and 4/3 would be approximately 1.333.
Our (x, y) for the graph is (2.405, 1.357), so our answer would be A.
Hey there.
1.) The mode is the number that's most frequent in a given list.
In our list, we have 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10.
Our most frequent number is 6; therefore, our mode is 6.
2.) The median is the number in the middle of a list organized from least to greatest.
2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10;
4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9;
4, 5, 5, 5, 6, 6, 6, 6, 7;
5, 5, 5, 6, 6, 6, 6;
5, 5, 6, 6, 6;
5, 6, 6;
6.
6 is our median.
I hope this helps, despite your answer choices not providing the correct answer.