Mary is selling her craft to earn money she sells her bracelets for $6 and her necklaces for $10 her goal is to make at least $120 in sales which of the following represents three possible solutions to the problema.6x+10y<120 (5,10),(10,5),and(15,0)are three possible solutions.

b.6x+10y>=120 (5,9),(10,6),and(15,3)are three possible solutions.

c.6x-10y<120 (5,5),(10,10),and(15,15)are three possible solutions.

d.7x+5y<=140 (7,21),(14,14),and(21,7)are three possible solutions.
I think it's
a.6x+10y<120 (5,10),(10,5),and(15,0)are three possible solutions. please correct me if I'm wrong.
I think it's between B and
d. is it D

Answer:

None of the answer choices (a, b, c, d) match this result exactly, but the correct choice closest to this result would be:

a) Y(s) = (s^2 + 4s + 6)/(s^2 + s - 30) - (9s)/(s^2 + 81)

Step-by-step explanation:

To find the Laplace transform of the given differential equation, we'll first take the Laplace transform of each term in the equation. Let's denote Y(s) as the Laplace transform of Y(t).

The differential equation is:

Y''(t) - Y'(t) - 30Y(t) = sin(9t)

Taking the Laplace transform of each term, we get:

L{Y''(t)} - L{Y'(t)} - 30L{Y(t)} = L{sin(9t)}

Using the properties of the Laplace transform, we can find the Laplace transforms of the derivatives as follows:

L{Y''(t)} = s^2Y(s) - sy(0) - y'(0)

L{Y'(t)} = sY(s) - y(0)

So the equation becomes:

s^2Y(s) - sy(0) - y'(0) - sY(s) + y(0) - 30Y(s) = 9/(s^2 + 81)

Now, substitute the initial conditions Y(0) = 6 and Y'(0) = 4:

s^2Y(s) - 6s - 4 - sY(s) + 6 - 30Y(s) = 9/(s^2 + 81)

Now, group like terms:

(s^2 - s - 30)Y(s) - 6s - 4 + 6 = 9/(s^2 + 81)

(s^2 - s - 30)Y(s) - 6s + 2 = 9/(s^2 + 81)

Now, solve for Y(s):

Y(s) = [9/(s^2 + 81) + 6s - 2] / (s^2 - s - 30)

Factoring the denominators:

Y(s) = [9/(s^2 + 81) + 6s - 2] / [(s - 6)(s + 5)]

Now, we have the Laplace transform equation for Y(s):

Y(s) = [9/(s^2 + 81) + 6s - 2] / [(s - 6)(s + 5)]

None of the answer choices (a, b, c, d) match this result exactly, but the correct choice closest to this result would be:

a) Y(s) = (s^2 + 4s + 6)/(s^2 + s - 30) - (9s)/(s^2 + 81)

Answer:

10

Step-by-step explanation:

Billy Bob

3. 5

6. 10=16

Answer

Find out the number of video games that Jasmine can buy with her savings .

To proof

Let us assume that the number of video games Jasmine can buy  be x .

As given

Jasmine wants to use her savings of $1128 to buy video games and music CDs.

The total price of the music CDs she bought was $72. The video games cost $43 each.

Than the equation becomes

72 + 43× x = 1128

simplify

72 + 43x = 1128

43x = 1128 - 72

43x = 1056

x = 24.6 (approx)

Take

x = 24

Therefore the maximum number of video games that Jasmine can buy with her savings be 24 .

Hence proved