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aivan3 [116]
3 years ago
9

When the movie is half over, popcorn sells for half price. Full price popcorn is $3.50, and drinks are $1.35. Determine the cost

for purchasing 3 orders of popcorn and 3 drinks when the movie is half over.
$ ________
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

Answer:

$9.3

Step-by-step explanation:

1.35 x 3 = 4.05

3.50 ÷ 2 = 1.75

1.75 x 3 = 5.25

5.25 + 4.05 = 9.30

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goldenfox [79]
1/3 is 3.33333333333 in fractions because 1 divided by 3 equals 3.33333333333
8 0
3 years ago
3(2v-9)=5 solve for v
Sonja [21]

Answer:

v=16/3

Step-by-step explanation:

3(2v-9)=5

Multiply 2v and -9 with 3

6v-27=5

Add 27 to both sides

6v=32

Divide both sides by 6

v=16/3

3 0
3 years ago
Use stoke's theorem to evaluate∬m(∇×f)⋅ds where m is the hemisphere x^2+y^2+z^2=9, x≥0, with the normal in the direction of the
ludmilkaskok [199]
By Stokes' theorem,

\displaystyle\int_{\partial\mathcal M}\mathbf f\cdot\mathrm d\mathbf r=\iint_{\mathcal M}\nabla\times\mathbf f\cdot\mathrm d\mathbf S

where \mathcal C is the circular boundary of the hemisphere \mathcal M in the y-z plane. We can parameterize the boundary via the "standard" choice of polar coordinates, setting

\mathbf r(t)=\langle 0,3\cos t,3\sin t\rangle

where 0\le t\le2\pi. Then the line integral is

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=2\pi}\mathbf f(x(t),y(t),z(t))\cdot\dfrac{\mathrm d}{\mathrm dt}\langle x(t),y(t),z(t)\rangle\,\mathrm dt
=\displaystyle\int_0^{2\pi}\langle0,0,3\cos t\rangle\cdot\langle0,-3\sin t,3\cos t\rangle\,\mathrm dt=9\int_0^{2\pi}\cos^2t\,\mathrm dt=9\pi

We can check this result by evaluating the equivalent surface integral. We have

\nabla\times\mathbf f=\langle1,0,0\rangle

and we can parameterize \mathcal M by

\mathbf s(u,v)=\langle3\cos v,3\cos u\sin v,3\sin u\sin v\rangle

so that

\mathrm d\mathbf S=(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv=\langle9\cos v\sin v,9\cos u\sin^2v,9\sin u\sin^2v\rangle\,\mathrm du\,\mathrm dv

where 0\le v\le\dfrac\pi2 and 0\le u\le2\pi. Then,

\displaystyle\iint_{\mathcal M}\nabla\times\mathbf f\cdot\mathrm d\mathbf S=\int_{v=0}^{v=\pi/2}\int_{u=0}^{u=2\pi}9\cos v\sin v\,\mathrm du\,\mathrm dv=9\pi

as expected.
7 0
3 years ago
A fair coin will be tossed three times. The possible outcomes are shown below:
Kamila [148]
There are 3 choices out of 8 that include two tails. 3/8 = .375 = 37.5%

Hope this can help
5 0
3 years ago
Read 2 more answers
. Select all the properties of a rectangle.
8090 [49]

Answer:

A, C, D

Step-by-step explanation:

8 0
2 years ago
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