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Whitepunk [10]
4 years ago
9

One fifth the sum of one half and one third

Mathematics
2 answers:
skelet666 [1.2K]4 years ago
8 0
Rewrite the equation as
1/5 * (1/2 + 1/3)
We must first solve the stuff inside the parentheses, to do this we must find a common denominator, in this case 6

1/2 becomes 3/6 and 1/3 becomes 2/6 thus (1/2 + 1/3) = (3/6 + 2/6) = (5/6)
Now we can multiple (1/5)*(5/6) you can cancel out the 5's and then you are left with you answer
1/6
Juliette [100K]4 years ago
3 0
1/5( 1/2 + 1/3)
1/5 (3/6 + 2/6)
1/5(5/6)
5/30
1/6
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Perpendicular to the line 2x-5y=-11; passes through (7,5)
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Answer:

y=-\frac{5}{2}x+\frac{45}{2}

Step-by-step explanation:

The slope intercept form of a line is given as:

y = mx + c

Where m is the slope and c is the y-intercept

Let's rearrange the equation given in this form:

2x - 5y = -11

5y = 2x + 11

y = 2/5 x + 11/5

So the slope is 2/5

Slope of line that is perpendicular to this is the "negative reciprocal" of this slope. Which means the slope of perpendicular line would be  -5/2

Thus, equation would become:  y = -5/2x + c

Now we need to find c. For this we plug in 7 into x and 5 into y and solve for c [(7,5) is the point given]. Thus,

y=-\frac{5}{2}x+c\\5=-\frac{5}{2}(7)+c\\5=-\frac{35}{2}+c\\c=5+\frac{35}{2}\\c=\frac{45}{2}

Thus, the equation of perpendicular line is:

y=-\frac{5}{2}x+\frac{45}{2}

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