The table below shows the ticket rates for whale watching trips offered by Beluga Fun Tours:

1 answer:

6 0

You know that there are 64 children under 12 and 103 total people. This means that the number of people over the age of 12 has to be (103 - 64). To find the amount of money earned from this group of people, just multiply by the price for people over the age of 12: $45. Thus, one part of your equation has to be (103 - 64)∙45.

The second part of the equation is a bit more difficult. You know that x = the number of children under 3, and those children are free. All we need to find is the number of children between 3 and 12 who have to pay and then multiply by their price: $34. So, just subtract the free children from the total children and multiply by 34: (64 - x)∙34. 

Put this all together and you get (64 - x)∙34 + (103 - 64)∙45

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Henry's baseball practice starts at 2:00 pm. It lasts 1 hour and 45 minutes. What time does he get out of baseball practice? Wri

Andrew [12]

Answer:

3:45

Step-by-step explanation:

because if you add 2 to 1 it is 3 and that is 3pm and it says 2:00 and the 00 are the minutes minutes so you can add those in and it will be 45 so 3:45

5 0

3 years ago

Evaluate the integral e^xy w region d xy=1, xy=4, x/y=1, x/y=2

LUCKY_DIMON [66]

Make a change of coordinates:

$u(x,y)=xy$
$v(x,y)=\dfrac xy$

The Jacobian for this transformation is

$\mathbf J=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial v}{\partial x}\\\\\dfrac{\partial u}{\partial y}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}y&x\\\\\dfrac1y&-\dfrac x{y^2}\end{bmatrix}$

and has a determinant of

$\det\mathbf J=-\dfrac{2x}y$

Note that we need to use the Jacobian in the other direction; that is, we've computed

$\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}$

but we need the Jacobian determinant for the reverse transformation (from $(x,y)$ to $(u,v)$ . To do this, notice that

$\dfrac{\partial(x,y)}{\partial(u,v)}=\dfrac1{\dfrac{\partial(u,v)}{\partial(x,y)}}=\dfrac1{\mathbf J}$

we need to take the reciprocal of the Jacobian above.

The integral then changes to

$\displaystyle\iint_{\mathcal W_{(x,y)}}e^{xy}\,\mathrm dx\,\mathrm dy=\iint_{\mathcal W_{(u,v)}}\dfrac{e^u}{|\det\mathbf J|}\,\mathrm du\,\mathrm dv$
$=\displaystyle\frac12\int_{v=}^{v=}\int_{u=}^{u=}\frac{e^u}v\,\mathrm du\,\mathrm dv=\frac{(e^4-e)\ln2}2$

8 0

3 years ago

Determine the value of y, if x is -2. y = x² +8

KiRa [710]

Answer:

y=x²+8

=(-2)²+8

=4+8

=12

6 0

3 years ago

it is 3,452 miles round trip to craig's aunt's house.if he travels to her house 3 times this year, how many miles did he travel

sveta [45]

(3,452 * 2) = round trip = 6,904.

6,904 * 3 = total distance = 20,712.

Therefore, the final answer is 20,712 miles.

8 0

4 years ago

Please help ASAP the answer are within the pic

DerKrebs [107]

Hey Ive taken this assesment. The answer is 55

6 0

3 years ago