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nlexa [21]
3 years ago
15

the first time , she won 60 tickets . the second time , she won a bonus , which was 4 times the number of tickets of the origina

l second prize . altogether she won 200 tickets . how many tickets were the original second prize
Mathematics
2 answers:
grigory [225]3 years ago
6 0
The second prize was 35
Explanation: altogether she won 60 tickets and the first prize was 60 tickets so that leaves us with 140. 140 divides by 4 = 35 (because she won a bonus which was 4 times the number of tickets of the original prize)
Lostsunrise [7]3 years ago
5 0

Answer:

28 should be your answer

Step-by-step explanation:

She won a total of 200 tickets.

First, subtract the first amount won with the total

200 - 60 = 140

Note that she won 4 times the amount of the original second prize. Therefore, divide by 5 (adding the original)

140/5 = 28

She won 28 tickets originally.

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Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =
sashaice [31]
Let R be the solid. Then the volume is

\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta

which follows from the facts that

\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta
(by computing the Jacobian)

and

z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8
(we take the positive solution, since it's clear that R lies above the x-y plane)
r^2+z^2=72\implies z=\pm\sqrt{72-r^2}
(again, taking the positive root for the same reason)
z=r^2\implies 8=r^2\implies r=\sqrt8

\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr
=\dfrac{32(27\sqrt2-35)\pi}3
7 0
3 years ago
PLEASE HELP ASAP
Leviafan [203]

Answer:

  • -2/5

Step-by-step explanation:

<h3>Given</h3>
  • tan (x)=2/5
<h3>To find</h3>
  • tan (2pi - x)
<h3>Solution</h3>
  • tan (2pi - x) =
  • - tan (x) =
  • - 2/5

Correct choice is B

5 0
3 years ago
Read 2 more answers
5.
Olegator [25]

Answer:

Step-by-step explanation:

the balloon starts at a height of 0 ft and rises at a rate of 100 ft.

8 0
3 years ago
The ratio of the measures of the sides of a triangle is 3:7:9. If the perimeter of the triangle is 266 inches, find the length o
I am Lyosha [343]

Answer: I simplified it for you lol

Step-by-step explanation: Simplify the matrix.

19 + 266 inches

5 0
2 years ago
What is the quotient of a number and 5​
KengaRu [80]

Sorry but that's an unclear question, can you double check to see if you included everything, and also check to see the possible answers?

3 0
3 years ago
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