What is 14 2/3 as an improper fraction?
2 answers:
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Answer:
Hi!
The correct answer is d) 1 over 15 minus 1 over x equals x over 35.
Step-by-step explanation:
We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.
We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.
We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.
So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.
<em>// multiply by 105x both sides.</em>
<em>// simplifly</em>
<em> //substract 3x and add 105 in both sides</em>
<em>// solve</em>
<em>//</em> <em>divide by 4 in both sides</em>
<em>// solve</em>
It makes sense that Byron fills the rack faster than Emmitt empties the rack.
Firstly, we need to understand the formula of point-slope form:
Where x and y is the coordinates and m is the slope respectively.
To find the slope:
In this case:
We can then put the above slope and the point (-1,4) into the formula:
4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2
Alternatively:
y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2
Therefore the answer is y = -1/2x+7/2.
Hope it helps!
Where x and y is the coordinates and m is the slope respectively.
To find the slope:
In this case:
We can then put the above slope and the point (-1,4) into the formula:
4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2
Alternatively:
y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2
Therefore the answer is y = -1/2x+7/2.
Hope it helps!