When a quantity grows (gets bigger), then we can compute its PERCENT INCREASE:
[beautiful math coming... please be patient] <span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span></span>
Some people write this formula with <span><span>100%</span><span>100%</span></span>
at the end,
to emphasize that since it is percent increase, it should be reported as a percent.
So, here's an alternate way to give the formula:
<span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span></span>
Recall that <span><span>100%=100⋅<span>1100</span>=1</span><span>100%=100⋅<span>1100</span>=1</span></span>
.
So, <span><span>100%</span><span>100%</span></span>
is just the number <span>11</span>
!
Multiplying by <span>11</span>
doesn't change anything except the name of the number!
Hope this helps
Answer:
(x+y)/xy or (1/x + 1/y) portion of the leaves
Step-by-step explanation:
Let the total work done to rake the leaves be a for representation.
Thus,
given Maya takes x minutes to rake the leaves
thus,
work done by may in x minutes = a
dividing both side by x
work done by maya in x/x = 1 minutes = a/x
similarly
given Calra takes y minutes to rake the leaves
thus,
work done by may in y minutes = a
dividing both side by y
work done by maya in y/y = 1 minutes = a/y
__________________________________
Total work done by both in 1 minutes = a/x + a/y = a(1/x+1/y) = a(x+y)/xy
Thus, if a is the total work , then they do (x+y)/xy of a work in one minute.
Thus, (x+y)/xy portion of leaves do they rake in one minute if they work together.
Answer:
y = 2(x - 1)² + 1
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 1), thus
y = a(x - 1)² + 1
To find a substitute (4, 19) into the equation
19 = a(4 - 1)² + 1
19 = 9a + 1 ( subtract 1 from both sides )
18 = 9a ( divide both sides by 9 ), thus
a = 2
y = 2(x - 1)² + 1 ← in vertex form
Answer:
Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:
If both numerator and denominator are decreased by six, the fraction becomes:
The simplified result is 
Therefore:
Substituting x=40 into the initial fraction
Therefore, the original fraction is
Heres the work g..........
