Answer:
(-53)/80
Step-by-step explanation:
Simplify the following:
-23/30 + 5/48
Put -23/30 + 5/48 over the common denominator 240. -23/30 + 5/48 = (8 (-23))/240 + (5×5)/240:
(8 (-23))/240 + (5×5)/240
8 (-23) = -184:
(-184)/240 + (5×5)/240
5×5 = 25:
(-184)/240 + 25/240
-184/240 + 25/240 = (-184 + 25)/240:
(-184 + 25)/240
-184 + 25 = -159:
(-159)/240
The gcd of -159 and 240 is 3, so (-159)/240 = (3 (-53))/(3×80) = 3/3×(-53)/80 = (-53)/80:
Answer: (-53)/80
Answer:
36 feet²
Step-by-step explanation:
Each side is 6 feet
Multiply length * width to find area
6 * 6
36 feet²
Hope this helps :)
Answer:
(2, 8)
Step-by-step explanation:
There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y. If y=3x+2, then we can sub 3x+2 in for y in the other equation:
-3x + 2(3x + 2) = 10 and
-3x + 6x + 4 = 10 and
3x + 4 = 10 and
3x = 6 so
x = 2. Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:
y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8. The solution set is (2, 8)
Answer:
the probability is 1/6, or 16.6%
