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larisa [96]
3 years ago
14

There are three balls for 40 cents or six balls for 60 cents. What percent dose he save by buying one set of six ball instead of

two sets of three balls
Mathematics
1 answer:
dsp733 years ago
3 0

Answer:

The persons saves 25% by buying one set of six ball instead of two sets of three balls.

Step-by-step explanation:

Cost of 1 set of three balls = 40 cents

Cost of 2 sets of three balls = 40 cents × 2 = 80 cents

Cost of 1 set of six balls = 60 cents

Percent dose he save by buying one set of six ball instead of two sets of three balls :

=\frac{80 cents-60 cents}{80 cents}\times 100=25\%

The persons saves 25% by buying one set of six ball instead of two sets of three balls.

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The quotient of 12 divided by the difference of 3 times d minus 3
ale4655 [162]

Answer:

12

Step-by-step explanation:

12 divided by 3 is 4 and 4 times 3 is 12

8 0
4 years ago
Solve the following equation with the initial conditions. x¨ + 4 ˙x + 53x = 15 , x(0) = 8, x˙ = −19
Katen [24]

x''+4x'+53x=15

has characteristic equation

r^2+4r+53=0

with roots at r=-2\pm7i. Then the characteristic solution is

x_c=C_1e^{(-2+7i)t}+C_2e^{(-2-7i)t}=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)

For the particular solution, consider the ansatz x_p=a_0, whose first and second derivatives vanish. Substitute x_p and its derivatives into the equation:

53a_0=15\implies a_0=\dfrac{15}{53}

Then the general solution to the equation is

x=e^{-2t}\left(C_1\cos(7t)+C_2\sin(7t)\right)+\dfrac{15}{53}

With x(0)=8, we have

8=C_1+\dfrac{15}{53}\implies C_1=\dfrac{409}{53}

and with x'(0)=-19,

-19=-2C_1+7C_2\implies C_2=-\dfrac{27}{53}

Then the particular solution to the equation is

\boxed{x(t)=\dfrac1{53}e^{-2t}(409cos(7t)-27\sin(7t)+15)}

8 0
3 years ago
Expand and simplify (x-5)(x+5)
BigorU [14]
The answer is X^2 - 25 click on the box for more details or explain.

4 0
3 years ago
1. A hammock is suspended between two trees. The curve the hammock makes can be modelled by the equation, y = 0.2x2 – 0.4x – 0.6
Rina8888 [55]

Answer:

Step-by-step explanation:

Given that:

The modeled equation y = 0.2x² - 0.4x - 0.6

To find x- intercepts

y = 0.2x² - 0.4x - 0.6

y = 0.2(x² - 2x - 3)

y = 0.2(x - 3)(x + 1)

Suppose the upward parabola cuts x axis at x = 3 and x = - 1

Then, the length of the intercepts will be = 3 -(-1)

=4

We can say that the trees will be 4 unit apart.

To find y-intercepts;

y = 0.2(0)² - 0.4(0) -0.6

y = -0.6 meters

8 0
3 years ago
What is the value of all of those?
raketka [301]

Answer:

18/(-3)=-6 .  (-18)/(-3)=6 . (-15)(-2)=30. 15(2)=30. 12(-4)=-48

Step-by-step explanation:

18 divided by -3 is -is -6. -18 divided by -3 is 6. -15 times -2 is 30 . 15 times 2 is 30. 12 times -4 is -48 .

8 0
3 years ago
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