PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12
Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36
Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36
Pablo has 1 1/36 quarts more than Rosa
PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3
Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9
Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12
Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts
15.1 feet, is the answer to your question. Enjoy!
Answer:
at least 4674 flags should be sold to show a profit
Step-by-step explanation:
The net profit is defined as the revenue (income from selling the flags) minus the cost (of producing the flags).
Since we want that profit (P) to be larger than zero, we want the Revenue (R) to be larger than the cost (C):
P = R - C
we want P > 0 (zero) then we want: R - C > 0 which means R > C
We can now replace R and C by their expressions in terms of x (the number of flags produced):
36 x > 32 x + 18695
we subtract 32 x from both sides to gather all terms in the variable "x" on the left hand side of the equation:
36 x - 32 x > 18695
4 x > 18695
Now we solve for x by dividing both sides by 4 (thus isolating the unknown x):
x > 18695 / 4
x > 4673.75
Therefore x must be at least the following integer to 4673.75, that is : 4674
Answer:
5/16
Step-by-step explanation:
