Answer:
$1679.175 or $1679.18
Step-by-step explanation:
split the carpet into rectangles to make it easier to look at
one rectangle is 2 yards in height and 9 yards in width (5 yards plus 4 yards)
area of a rectangle = (w)(h), so 9 x 2 = 18 yards in area.
second triangle is 4 yards in width, and 3 yards in height.
area of a rectangle = (w)(h), so 4 x 3 = 12 yards in area.
Total area = 30 yards
30(21.95)(2.55) = $1679.175 or $1679.18
Because half of 8 is 4
Divide 1 by 1/2 or .5... 1 becomes 1/1 and 1/2 is flipped to 2/1, then multiply
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever
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Work Shown:
I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...
Now let x = 0.334444...
Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...
And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...
Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Hope this helps..... Stay safe and have a Merry Christmas!!! :D
