Let
be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use
gal of the 70% solution.
You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means




so the answer is B.
Answer:
y = 2x - 22
Step-by-step explanation:
y = 2x - 8
it is the form of y = mx + c
to be parallel the m should be the same ..
so the equation m = 2
znd it is given that it is passing (11,0) so that the equation should satisfy the point ( 11,0)
y = mx + c
y = 0 , m = 2 , x = 11
0 = 2 ( 11 ) + c
c = -22
so the required equation for the parallel line is
y = 2x - 22
Answer:
I think it might be D
Step-by-step explanation:
if you use the formula A(t) = P(1+r)^t
Then plug in 950(1+0.0376)^4 and solve it comes out to 1101. 14 so it should be D
Answer: 
Step-by-step explanation:
We know that:
: The number of vibrations per second of the nylon guitar string.
: Tension.
: The length of the string.
Since
varies directly with the square root of the
and inversely with
, the equation has the following form:

Where "k" is the constant of variation.
Knowing that when
and
,
, we can find the value of "k":

Finally, in order to find the tension when the length is 0.3 meters and the number of vibrations is 12, you need to substitute these values and the value of "k" into
and solve for
:

Answer:
F is independent, g is dependent.
You can tell that because of the second sentence: "the number of frames she has determines the number of gifts she can create." So the number of gifts, g is dependent of F, and F is independent.