Let x represent the total amount litters of solutions for 60% alcohol
15-x represent the total amount of litters of solutions for 35% alcohol, so:
0.6(x)+0.35(15-x)=0.5(15)
0.6x+5.25-0.35x=7.5
0.25x+5.25=7.5
Subtract 5.25 to each side
0.25x+5.25-5.25=7.5-5.25
0.25x=2.25
Divided 0.25 to each side
0.25x/0.25=2.25/0.25
x=9 liters
15-x
=15-9
=6 litters. As a result, she must use 9 litters of 60% alcohol and 6 litters of 35% alcohol to make 50% alcohol. Hope it help!
The domain is all the ones under the x and the range are the numbers under the y (that goes fo any question like that)
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
A) Cereal brand A
B) There is no table.
Step-by-step explanation:
A) divide each cereal price by the amount of ounces. Brand A is $0.13888 (rounds to $0.14). B is $0.14583 (rounds to $0.15) So, since cereal band A is less cost per ounce, its cheaper
B) This question cannot be answered, since there is no table.