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Alex17521 [72]
3 years ago
14

In a writing competition, the first place winner receives ½ of the prize money. the second runner up receives ¼ of what the winn

er won. what was the total amount of prize money distributed if the winner receives $6,000?
Mathematics
1 answer:
DiKsa [7]3 years ago
3 0

The first thing we must do for this case is to define a variable.

We have then:

x: total amount of money

We now write the equation that models the problem.

For the winner we have:

\frac{1}{2}x = 6000

x = 2(6000)

x = 12000

Then, for the second place we have:

 \frac{1}{4}(6000) = 1500

Answer:

if the winner receives $6,000 the total amount of prize money distributed is: $12,000:

First place: $6,000

Second place: $1,500

Note: There is still money

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A school cotains 357 boys and 323 girls if a student is chosen at random, what is the probability that it is a girl
solong [7]

Answer:

P(G)=0.475

Step-by-step explanation:

From the question we are told that:

Number of boysN_b=357

Number of girls N_g=323

Total Number of students

N_t=N_b+N_g

N_t=680

Generally the equation for Probability of Choosing a Girl is mathematically given by

P(G)=\frac{N_g}{N_t}

P(G)=\frac{323}{680}

P(G)=0.475

3 0
2 years ago
A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 4 true false questions, Part B
erma4kov [3.2K]

Answer:  374416

Step-by-step explanation:

Given : A test requires that you answer first Part A and then either Part B or Part C.

Part A consists of 4 true false questions, Part B consists of 6 multiple-choice questions with one correct answer out of five, and Part C consists of 5 multiple-choice questions with one correct answer out of six.

i.e. 2 ways to answer each question in Part A.

For 4 questions, Number of ways to answer Part A = 2^4

5 ways to answer each question in Part B.

For 6 questions, Number of ways to answer Part B = 5^6

6 ways to answer each question in Part C.

For 5 questions, Number of ways to answer Part C = 6^5

Now, the number of ways to  completed answer sheets are possible :_

2^4\times5^6+2^4\times6^5\\\\=2^4(5^6+6^5)\\\\=16(15625+7776)\\\\=16(23401)=374416

Hence, the number of ways to  completed answer sheets are possible = 374416

8 0
3 years ago
A. 0.126<br> b. 0.313<br> c. 0.220<br> d. 0.688
nordsb [41]
First we need the total of both children and adults that like all the flavors:

12 + 5 + 20 + 23 + 11 + 16 = 87 total people

then find the number of adults that like sweet mint: from the table 11 adults like sweet mint

to find the probability divide the number of adults who like sweet mint by the total number of people:

11 / 87 = 0.126
 the answer is A


4 0
3 years ago
Read 2 more answers
How much does each child receive for school supplies?
Debora [2.8K]

Answer:

$13.5

Step-by-step explanation:

Divide the total amount raised by how many students the money was divided among.

135/10=13.5

3 0
3 years ago
One-fifth the sum of one-half and one-third. WRITE IN A EXPRESSION FORM
vladimir2022 [97]

Answer:

1/6

Step-by-step explanation:

1/2 + 1/3 = 5/6

1/5 of 5/6 = 5/30

5/30 can be simplified as 1/6.

8 0
3 years ago
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