Answer:
Corp A. 320,000
Corp B. 40,000
Corp C. 430,000
Corp C owns the most land, Corp A owns 8 times more land.
Explanation:
3.2.• 10^5 = 3.2 • 100,000 = 320,000
4 • 10^4 = 4 • 10,000 = 40,000
4.3 • 10^5 = 4.3 • 100,000 = 430,000
40,000 < 320,000 < 430,000
320,000 ÷ 40,000 = 8
Let the numbers be 1k, 2k , and 3k respectively
Since the sum of their cubes is 4500,
(1k)³+(2k)³+(3k)³=4500
--> k³(36)= 4500
--> k = 5
Hence, the numbers are: 5,10 and 15 respectively
Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
Answer:
A bag of chips costs $1
A pickle costs $1.25
Step-by-step explanation:
P + 2c = 3.25 Start with these two equations
3p + 4c = 7.25
p = -2c + 3.25 Solve for one variable
3(-2c +3.25) + 4c = 7.25 Substitute
-6c + 9.75 + 4c = 7.25
-2c = -2
c = 1
p + 2(1) = 3.25 Substitute
p + 2 = 3.25
p = 1.25
Answer:
6) 102
7) 58
NOTE: Supplementary add to 180° and Complementary add to 90°
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