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Nesterboy [21]
3 years ago
8

A spinner of a board game can land on any one of three regions​ labeled: A,​ B, and C. If the probability the spinner lands on B

is five times that offive times that of ​A, and the probability the spinner lands on C is three times that ofthree times that of ​A, find the probability the spinner lands on A.
Mathematics
1 answer:
Inga [223]3 years ago
3 0

Answer: 1/9

Step-by-step explanation:

Let's call x the probability of landing in A

So, probability of landing on B is 5x and probability of landing on C is 3x.

As we only have this options, the probabilities A + B + C = 1. So,

x + 5x + 3x = 1

9x = 1

x = 1/9

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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.
masha68 [24]

Answer:

C = 24.5 in

Step-by-step explanation:

Formula to find the circumference of a circle is :

C = 2πr

Here,

r ⇒ radius

So let us solve now.

C = 2πr

C = 2 × π × r

C = 2 × 3.14 × 3.9

C = 24.492 in

So, they've asked for nearest 10th.

Therefore, the answer will be 24.5 in.

Hope this helps you :-)

Let me know if you have any other questions :-)

8 0
3 years ago
Read 2 more answers
Please help me i think i finally uploaded the right file now
KengaRu [80]

Answer:

y = 35x

and 350

Step-by-step explanation:

This problem's quite similar to the last question with the only difference being the 2nd row changed

So I <em>think </em>that the answers should be the same

6 0
3 years ago
Translate the algebraic expression shown below into a verbal expression.
yaroslaw [1]
The quotient of some number and four.
6 0
3 years ago
Find the values of the power in the following pattern: (10)1, (10)2, (10)3, (10)4....Describe the pattern, and use it to evaluat
Irina18 [472]
10^1 = 10
10^2 = 100 {10 x 10 = 100}
10^3 = 1000 {10 x 10 x 10 = 1,000}
10^4 = 10000 {10 x 10 x 10 x 10 = 10,000}

The exponent represents how many zeros will be used in the answer. For example, 10^6 would include 6 zeros in it’s answer; 1,000,000.
5 0
3 years ago
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