Answer:
<em>39 is 26.71% of 146</em>
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 146 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100% = 146.
Step 4: In the same vein, x% = 39.
Step 5: This gives us a pair of simple equations:
100% = 146(1).
x%=39(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have
100/x% = 146/39
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 39/146 ⇒ x= 26.71%
Therefore, 39 is 26.71% of 146.
<em>hope it helps:)</em>
Answer:
126 = n × (n - 5)
Step-by-step explanation:
If Nikki's age is <em>n </em>and she is 5 years older than Jamie, then Jamie is 5 years younger than Nikki's <em>n </em>number of years.
We have
So
The rational term vanishes as <em>x</em> gets arbitrarily large, so we can ignore that term, leaving us with
and this happens if <em>a</em> = 1 and <em>b</em> = -1.
To confirm, we have
as required.
Answer:
C $113.40
Step-by-step explanation:
100%-40%=60%
$180x60/100
=$10800/100
=$108
100%+5%(tax)=105%
$108x105/100
=$11340/100
=$113.40 (C)
Area is equal to length times width. The perimeter (the amount of rope) has to equal twice the length added to twice the width so we're left with:
A = l * w
200 = 2l + 2w
solve for either l or w
l = 100 - w
plug into the area equation to get one equation with two variables
A = w(100 - w)
A = -w^2 + 100w
take the derivative
A' = -2w + 100
set the derivative equal to zero
0 = -2w + 100
2w = 100
w = 50
This is the width that maximizes the area
with a width of 50, the length must also be 50 to have a perimeter of 200
therefore, they can rope up to 50 * 50 = 2500 ft^2
