Answer:
$48
Step-by-step explanation:
1. multiply the original price (60) by the percent off (20% or 0.20)
60 * .20 = 12 (the discount)
2. subtract the discount (12) from the origianl price (60)
60-12 = 48
18 meters by 14 meters
Step-by-step explanation:
18 meters by 14 meters
Area of rectangle is base times height (AKA length times width or however you wish to call the dimensions).
This question is a system of equations question. We can make two equations. We know that every rectangle must have 2 "lengths" and 2 "widths" (4 sides in a rectangle). Since Maria only has 64 meters of fencing, we get the equation:
2L+2W = 64
Now we know the area enclosed must be 252 so we have:
L* W = 252
Rewriting the second equation we get:
Plug this into first equation to get:
(multiply everything by L)
Solving the quadratic tells us L can be 18 or 14. Let's consider if L is 18 first by plugging 18 back into the second equation to get 18 * W = 252 which gives us W = 14. If we do the same for when L = 14, we get that W = 18.
Now you might wonder why we have 2 possible combinations, that's because in reality, it doesn't matter which one we label as length (L) or width (W).
2 ways
1 calcluls
2. algebra
calculus, just take the deritivive and find wher it is 0
y=-0.2x+10
at x=50
sub 50 for x in original
y=250
algebra
for
y=a(x-h)²+k
(h,k) is vertex
k is maximum value
complete the square
y=(-0.1x²+10x)
y=-0.1(x²-100x)
take 1/2 of -100 and square it and add negative and positive inside
-100/2=-50, (-50)²=2500
y=-0.1(x²-100x+2500-2500)
factor perfect square
y=-0.1((x-50)²-2500)
exand
y=-0.1(x-50)²+250
vertex at (50,250)
producing 50 units yeilds a sale price of $250
max price is $250
<span>The correct answer is 12/17m+30/17 yellow ribbons.
Explanation:
Setting up a proportion to represent the ratio of red to yellow, we have
r/y = 17/6.
Cross multiply:
6r=17y.
To isolate y, cancel 17 by dividing:
6r/17 = y, or (6/17)r=y.
Substituting 2m+5 for r, we have
(6/17)(2m+5)=y.
Use the distributive property:
(6/17)*2m+(6/17)*5=y
(12/17)m+30/17=y.</span>
Step-by-step explanation:
<u>2.5 CM to Inches – Unit Definition</u>
<u>2.5 CM to Inches – Unit Definition A single inch has 2.54 centimeters. “Centimeter” is the North American spelling, while in the UK it is centimetre. Centimeter is used throughout the European continent and around the world.</u>
