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Lunna [17]
3 years ago
6

Write the integer 9 as m/n in simplest form where m and n are integers

Mathematics
1 answer:
tatiyna3 years ago
8 0
18/2,27/3,36/4,45/5,54/6,63/7,72/8, and 81/9 can be some.
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Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green
IrinaVladis [17]

Answer: 1. D) 30

2. A) 8

3. B) 4/15

4. A)  2/9

5.D) 64%

Step-by-step explanation:    

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore,  If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = \frac{8_C_1}{30_C_1}

P(G) =  \frac{8}{30} = \frac{4}{15}

4. Here, Number of red socks= 5

Number of white socks = 2 and Number of  blue socks=3

Therefore total socks = 10

⇒ Probability of picking a pair of red socks,

P(R)= \frac{5_C_2}{10_C_2} = \frac{10}{45}

⇒ P(R)= 2/9

5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%


3 0
3 years ago
Thomas has a bag with 7 green marbles, 5 blue marbles, and 4 red marbles. For each part below, if the marble selected is replace
Gwar [14]
7 + 5 + 4 = 16, so probability of getting a red is 4 out of 16 which can be simplified as 1 in 4 chances
7 0
4 years ago
Find the prime factorization of the following 2 numbers 36 and 72?
Kryger [21]

Answer:

36 =  2² x 3²

72=2³×3²

Step-by-step explanation:

5 0
3 years ago
for a field trip 12 students rode in cars and the rest filled six buses how many students were in each bus if 342 students were
kolezko [41]

Answer:

55

Step-by-step explanation:

we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.

4 0
3 years ago
Mrs. Julien’s and Mrs. Castillejo’s classes are selling cookie dough for a school fundraiser. Customers can buy packages of maca
Oksi-84 [34.3K]

Answer: the cost of one package of macadamia nut chip cookie dough is $1.5

the cost of one package of triple chocolate cookie dough is $2.5

Step-by-step explanation:

Let x represent the cost of one package of macadamia nut chip cookie dough.

Let y represent the cost of one package of triple chocolate cookie dough.

Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that

25x + 30y = 112.5 - - - - - - - - - - - - -1

Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that

8x + 45y = 124.5 - - - - - - - - - - -2

Multiplying equation 1 by 8 and equation 2 by 25, it becomes

200x + 240y = 900

200x + 1125 = 3112.5

Subtracting, it becomes

- 885y = - 2212.5

y = - 2212.5/- 885

y = 2.5

Substituting y = 2.5 into equation 1, it becomes

25x + 30 × 2.5 = 112.5

25x + 75 = 112.5

25x = 112.5 - 75 = 37.5

x = 37.5/25 = 1.5

The method used is the elimination method. It is more convenient to use.

8 0
4 years ago
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