Answer:
7048/637
Step-by-step explanation:
10 8/13 + 4 24/49
138/13 + 220/49
taking LCM
(138*49 + 220*13) / (13*49)
7048 / 637
The largest number of different whole numbers that can be on Zoltan's list is 999
<h3>How to determine the largest number?</h3>
The condition is given as:
Number = 1/3 of another number
Or
Number = 3 times another number
This means that the list consists of multiples of 3
The largest multiple of 3 less than 1000 is 999
Hence, the largest number of different whole numbers that can be on Zoltan's list is 999
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When you write an equation in the slope-intercept form

the two coefficients m and b represent, respectively, the slope and the intercept.
So, in your case, m=1/4 and b= -7, which leads to the equation

V/a = 3/5
a = 20
v = ...
3/5 = v/20
5v = 20*3
5v = 60
v = 60/5
v = 12 oz
The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>
The given parameter is
Perimeter, P = 520 feet
Represent the shorter side with x and the longer side with y
One side of the garden is bordered by a river:
So the perimeter is:
P = 2x + y
Substitute P = 520
2x + y = 520
Make y the subject
y = 520 - 2x
The area is
A = xy
Substitute y = 520 - 2x in A = xy
A = x(520 - 2x)
Expand
A = 520x - 2x^2
Differentiate
A' = 520 - 4x
Set to 0
520 - 4x = 0
Rewrite as:
4x= 520
Divide by 4
x= 130
Substitute x= 130 in y = 520 - 2x
y = 520 - 2 *130
Evaluate
y = 260
The area is then calculated as:
A = xy
This gives
A = 130 * 260
Evaluate
A = 33800
Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
Read more about area at:
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