Jack has 120 songs on his music player. Some are rock, some are jazz, and the rest of classical pieces. If his music player is on who random shuffle mode the probability that it will be to play a classical piece is 2/5 and the probability that it will play a jazz piece is 1/3. How many songs of each type are on jacks music player?

Answers

Answer 1

Answer: 2/5 and 1/3 have a common denominator of 15. 6/15, 5/15, and 4/15 add up to 15/15. So the chances of rock are 4/15. 120 divided by 15 is 8. Six times eight equals fourty eight, five times eight equals forty, and four times eight equals thirty two. So there are 48 classical songs, 40 jazz songs, and 32 rock songs.

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Tiffany pays 40$ for 160 minutes of talk time on her cell phone.How many minutes of talk time does she get per dollar?

Answers

To find how many minutes of talk time is available per dolla, you have to divide 160 (number of minutes) by 40 (cost)160/40 = 4Therefore, it's 4 minutes per dollar

Mark uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 9.654 kilometers. He wants to post online how many miles he ran. Mark ran ___ miles. (1 mile = 1.609 kilometers)

Answers

Mark would have ran 6 miles if he ran 9.654 kilometers

1 mile = 1.609 km
so 9.654 km = 9.654/1.609 miles
so he ran 6 miles

After a gas-filled balloon is released, it rises 90 feet by the end of the first minute. By the end of the second minute, the balloon rises 120 feet, and by the end of the third minute, it rises 150 feet. How many feet would the balloon rise in 8 minutes?

Answers

Answer: 300 feet

Step-by-step explanation:

Note that:

$120-90 = 30$

$150-120 = 30$ .

Then the balloon rises at a constant rate of 30 meters per minute.

We can represent this situation through an arithmetic sequence as shown below

$a_n =a_1 + d(n-1)$

Where $a_1=90$ is the first term of the sequence and $a_n$ is the n-th term of the sequence and $d=30$ is the common difference between two consecutive terms.

In this case we look for the height of the balloon after 8 minutes.

Then we look for $a_8$

$a_8 = 90 + 30(8-1)$

$a_8 = 90 + 30(7)$

$a_8 = 300$

Answer:

$\boxed{\text{300 ft}}$

Step-by-step explanation:

You have an arithmetic sequence in which

a₁ = 90

a₂ = 120

a₃ = 150

1. Calculate the explicit formula

This is an arithmetic sequence, because there is a constant difference of 30 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,

aₙ = 90 + 30(n - 1) = 90 + 30n - 30

aₙ = 30n + 60

2. Calculate the eighth term

a₈ = 30 × 8 + 60 = 240 + 60 = 300

$\text{In 8 min, the balloon rises }\boxed{\textbf{300 ft}}$

What is the value of the digit 9 in the number that show kari's mass

Answers

where is the question of this problem

Final answer:

The value of the number 9 representing Kari's mass depends on the digits' place in the number. If it's in the 'tens' place (as in 95), its value is 90; if it's in the 'ones' place (as in 19), its value is 9.

Explanation:

To determine the value of the number that represents Kari's mass, please provide the full number. The exact value of 9 in this number will depend on its placement. For instance, if Kari's mass is 95 kilograms, the value of 9 is 90 because it occupies the 'tens' place. However, if her mass would be 19 kilograms, the value of 9 would be 9 because it is in the 'ones' place. To know the value of digit, understanding the positions of numbers in place value is important.

Learn more about Place Value here:

brainly.com/question/27734142

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Shaunae Miller-Uibo won the gold medal in the 400 meter race at the 2021 Olympics. Her time was 48.36 seconds. Marileidy Paulino won the silver medal in the race with a time of 49.2 seconds. How many seconds separated the top two runners?

Answers

Answer:

The answer is: 48.36 - 49.2 = 0.84 seconds

Step-by-step explanation:

At the 2021 Olympics, Haunae Miller-Uibo won the gold medal in the 400 meters race with a time of 48.36 seconds, while Marileidy Paulino won the silver medal with a time of 49.2 seconds. To find out how many seconds separated the top two runners, we can subtract Miller-Uibo's time from Paulino's time:

49.2 - 48.36 = 0.84 seconds

Therefore, Marileidy Paulino was 0.84 seconds behind Haunae Miller-Uibo in the 400 meters race at the 2021 Olympics.

49.2 - 48.36 = 0.84

Shauna Miller-Uibo won the gold medal in the 400 meter race and her time was 48.36 seconds. Marileidy Paulino won silver medal with a time of 49.2 seconds, so to find out the separated seconds top two runners, you have to subtract 49.2 - 48.36 which gives you
0.84

Determinati coificientul unghiular si trasati graficul functiei: h:R > R, h(x)=2(x+1)

Answers

i have no clue coz i have not learnt this concept yet

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