The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times. There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio 5 : 4 : 3 : 2 : 1. How many different tunes will a member who attended all meetings have heard during the year?
A655
B 705
C 880
D 930

Answers

Answer 1

Answer: It’s A, 655.

Answer 2

The total number of different tunes will a member who attended all meetings have heard during the year is 655 and this can be determined by using the given data.

Given :

The local Jazz Club met 50 times last year. At each meeting there were 20 slots on the playlist, with one tune played in each slot. A careful study of the playlists for last year showed that: 40% of the slots were used for tunes that were not played at any other time that year. 45% of the slots were used for tunes that were played just twice. Half of the remaining slots were used for tunes that were played 3 times.There were only 5 other tunes played during the year, and the number of times that these were played was in the ratio (5 : 4 : 3 : 2 : 1).

The total number of slots is given by:

[tex]50\times 20 = 1000[/tex]

So, the total number of tunes in each slot is 1000.

The total number of remaining tunes is given by:

[tex]=1000-(400+450)[/tex]

= 150

According to the given data half of the remaining tunes were played thrice that is 75 tunes were played thrice and only 5 other tunes were played out of the remaining 75 tunes.

So, the total number of tunes a member will hear is given by:

[tex]=400+\dfrac{450}{2}+\dfrac{75}{3}+5[/tex]

= 655

So, the total number of different tunes will a member who attended all meetings have heard during the year is 655.

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Related Questions

The price of a stock was $325 a share. The price of the stock went down $25 each week for 6 weeks what was the price of that stock at the end of 6 weeks?

Answers

Answer:325 - (25 x 6 ) = $175

Step-by-step explanation:

Please answer ASAP
what is 7.28 times 6 than that answer + 41.25 = ?

Answers

Answer: 84.93

Step-by-step explanation:

when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93

Answer:

84.93

Step-by-step explanation:

7.28 x 6 +41.25

Do 7.28 x 6

43.68+41.25

Then add together

84.93

Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7x+8 d) y=-1/7x+1

Answers

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

Earth’s diameter is approximately 12,760,000 meters. What is that number in scientific notation?​

Answers

Answer:

1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.

Step-by-step explanation:

Which angle pairs are supplementary? Check all that
apply.
Angle 1 and angle 2
Angle 4 and angle 3
Angle 4 and angle 5
Angle 7 and angle 5
Angle 3 and angle 6

Answers

Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.

We need to identify which angle pairs are supplementary.

What are supplementary angles?

Supplementary angles are two angles with a sum of 180°.

Here, Angle 1 and angle 2, Angle 4 and angle 3 and Angle 7 and angle 5 are supplementary angles.

To learn more about supplementary angles visit:

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Anurak has nickels, dimes, and pennies in his pocket. The coins in Anurak's pocket have a total value of 75 cents. He has three more nickels than dimes and five times as many pennies as dimes. How many coins of each type does Anurak have?

Answers

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

We must have these informations in mind:

1) A penny is a 1-cent coin.

2) A dime is a 10-cent coin.

3) A nickel is a 5-cent coin.

Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:

[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)

In addition, we get the following identities:

i) He has three more nickels than dimes

[tex]z + 3 = y[/tex] (Eq. 2)

ii) And five times as many pennies as dimes

[tex]x = 5\cdot z[/tex] (Eq. 3)

The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)

[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]

[tex]0.20\cdot z = 0.60[/tex]

[tex]z = 3[/tex]

The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].

Anurak has 15 pennies, 6 nickels and 3 dimes.

Answer:

Anurak has 15 pennies, 6 nickels and 3 dimes.

Step-by-step explanation:

Please help
A local business does $1200 in sales on Monday and $1400 dollars in sales on Tuesday.
Which of the following a correct sentence to describe the ratio of Monday to Tuesday?

Answers

$1200+ $1400 = 2600


Answer:
1200 : 1400 = 6 : 7


The ratio is not in lowest terms so we found an equivalent ratio by simplifying.
Solution:

We can simplify the ratio 1200 : 1400 by dividing both terms by the greatest common factor (GCF).

The GCF of 1200 and 1400 is 200.

Divide both terms by 200.
1200 ÷ 200 = 6
1400 ÷ 200 = 7

Therefore:
1200 : 1400 = 6 : 7

(01.06)
i’m please help

Answers

Answer:

the answer is -6

Step-by-step explanation:

x^2+36=0

x^2= -36

√x^2 = √-36

x= -6

Some plz solve both for meeeeee <33

Answers

10. 4w^2 + 7w^2 + 7z^2

Combine each term with the same variable.

11w^2 + 7z^2

This is in simplest form.

11. 3x + 4(5x + 2)

Multiply each term inside the parentheses by 4.

3x + 20x + 8

Combine all the terms with the same variable.

23x + 8

This is in simplest form.

Please help me out!!

Answers

Solution:

[tex] {32}^{ \frac{1}{5} } = \sqrt[5]{32} = 2[/tex]

Answer:

2

Answer:

Step-by-step explanation:

Prime factorize 32

32 - 2*2*2*2*2 = 2⁵

[tex]32^{\frac{1}{5}}=(2^{5}})^{\frac{1}{5}}=2^{5*{\frac{1}{5}}}\\\\\\=2[/tex]

please answer or i fail

Answers

Answer:

42

Step-by-step explanation:

360 - ( 139 + 45+ 90+44)

Answer:

42 °

Step-by-step explanation:

complete angle = 360 ° . therefore sum of all angles around a single point is equal to 360 ° .

360° - 139° - 45° - 90° - 44° = x

x = 180 - 138 = 42 °

-V35 is it an irrational number

Answers

Yes, it is an irrational number because it can’t be written as a fraction

Negative square root of 35 is about -5.92, it can’t be written as a fraction

Rational number: can be written as a fraction
Irrational number: can’t be written as a fraction

I hope this helps!

The ratio of dogs to cats at a veterinarians office is 5 to 3 if there are 15 cats how many total animals are at the office

Answers

Answer: 25

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

because if ther are 15 cats then you tomes the 3 by 5 so 5 x 5=25. Then you would do 25+15=40

evaluate each expression. (1/3)^4

Answers

Answer:

1/81

Step-by-step explanation:

[tex] \huge \bigg( \frac{1}{3} \bigg)^{4} = \frac{1}{ {3}^{4} } = \frac{1}{81} \\ [/tex]

Find the two square roots of 9/4?

Answers

Answer: 0.75

Step-by-step explanation:

The two square roots of 9/4 is  [tex]3/2[/tex].

It is required to find the two square roots of 9/4.

What is square root?

A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.

Solution:

Using the principal square root:

[tex]\sqrt{9/4} \\\\=3/2[/tex]  and [tex]3/2[/tex].

Hence, the two square roots of 9/4 is  [tex]3/2[/tex].

Learn more about square roots here:

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Dante’s cell phone company charges $45 per month for unlimited calls and texts,plus $0.25 per gigabyte of data.His last cell phone bill was $60.50.How many gigabytes of data did Dante use last month?

Answers

15.50 gigabytes were used last month

When considering different sampling methods, cluster sampling includes the steps: _______.
a. use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
b. list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list
c. starting with the one that was randomly selected
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
e. identify individuals of the population that are easily accessible; obtain data from these individuals

Answers

Answer:

d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group

Step-by-step explanation:

Remember, a cluster represents a selection out of a group belonging to a larger population. Thus, cluster sampling includes the steps;

divide the population into groups;use simple random sampling to identify a proportionate number of individuals from each group.

For example, A bus company wants to survey all its customers for a particular day, using cluster sampling, they will randomly select 10 trips that day and survey some or all the passengers on those trips.

Answer:

B

Step-by-step explanation:

For an indirect proof, what must first be assumed to prove that LaTeX: \angle X∠ Xis a right angle?

Answers

Answer:

If the lines that forms < X are perpendicular, it can be assumed that it is a right angle.

Step-by-step explanation:

An indirect proof of an angle is an assumption about the value of the angle that can be made by mere inspection and some considerations.

                                     < X = right angle =  [tex]90^{o}[/tex]

A right angle is one that is equal to [tex]90^{o}[/tex]. As an indirect proof, if the lines that forms the angle are perpendicular; then it can be assumed to be a right angle. Because perpendicular lines are at right angle to one another.

Answer:

verified answer isn't right

Step-by-step explanation:

i dont know the answer but just thought i should let people know

ILL MARK BRAINLIST !! SHOW WORK

Answers

Answer: Here is your answer dude

5) Which of the following expressions has
the greatest value?
A-
2-3
B-2-(-3)
C2-(-3)

Answers

the answer would be c !
A= -5
B= 1
C= 5

48 books on 6 shelves. How many books on 12 shelves?

Answers

96 books because if you multiply by 2 that’s double of what the first answer was

Answer:

96 books

Step-by-step explanation:

because when you have 48 books on 6 shelves it is 8 books per shelf so it is 96 because 12 times 8 equals 96

Study the dot patterns in parts (a) and (b) below. Assume that each pattern continues to increase by the same number of dots and in the same locations for each figure.
For each pattern, sketch the 4th and 5th figures. Then predict how many dots will be in the 100th figure.

Answers

Answer:

east-56 a=+b 2squared

Step-by-step explanation:

Maggie's brother is 3 years younger than twice her age. The sum of their ages is 36. How old is Maggie? Maggie is years old.

Answers

Answer:

Maggie is 13 years old.

Step-by-step explanation:

Maggie's age is: x

Maggie's brother's age is: 2x - 3

The sum of the ages = 36

x + 2x - 3 = 36

3x - 3 = 36

3x = 39

x = 13

Answer: Maggie is 13 years old.

5. Natalie has a pound bag of 1/8 pound bag of gummy worms, a 1/2 pound bag of twizzlers, and a 2/3 pound bag of chocolate. How many pounds of candy does Natalie have in all? ​

Answers

Step-by-step explanation:

1. Add all the different candies together

1/8 + 1/2 + 2/3=

2. Find the lowest common multiple of all the denominators

All the denominators can evenly multiply to 24 so 24 is the Lowest Common Denominator.

3. Multiply to make all the denominators 24

8x3=24 2x12=24 3x8=24

4. Whatever you did to the denominators, do the same thing to the numerators of that specific denominator.

1x3/8x3 1x12/2x12 2x8/3x8

5. Now that the denominators are the same for all the fractions, add all the numerators together.

3/24 + 12/24 + 16/24

3+12+16= 31

ANSWER: Natalie had 31/24 pounds of candy in all

Note: The decimal form is 1.292 pounds

A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt

Answers

Answer: 0.08192

Step-by-step explanation:

Given: Probability of free throws = 0.80

Then, probability of missing the free throw = 1-0.80=0.20

Now, According to the negative binomial probability distribution, the probability that the rth success is achieved in xth trial is given by ;-

[tex]P(X=x)= pC_{r-1}^{x-1}p^{r-1}(1-p)^{(x-r}[/tex]

Put p = 0.20 , x=5 and r =1, we get

The probability of this player missing a free throw for the first time on the fifth attempt as [tex](0.20)\ ^{5-1}C_{1-1}(0.20)^{1-1}(1-0.20)^{5-1}[/tex]

[tex]= (0.20)\ ^{4}C_{0}(0.20)^{0}(0.80)^{4}\\\\=(0.20)(1)(0.80)^4\\\\=(0.20)(0.4096)\\\\=0.08192[/tex]

hence the required probability =0.08192

Answer:0.08912

Step-by-step explanation:

The current temperature is 70 degrees at 8am. It is a hot day, so the temperature keeps rising 3 degrees every hour. What is the temperature at 1pm?

Answers

Answer:

85

Step-by-step explanation:8 to 1 pm is 5 hours I think XD so 5 times 3 degrees is 15 so 15 +70 is 85

The shelter has 90 dogs and 150 cats. of these animals 9 dogs and 27 cats receive medication. What percentage of animals receive medication?

Answers

3% because If you divide 27/9

Which shows only a vertical translation from the shaded figure onto the unshaded figure?
On a coordinate plane, a triangle is shifted up.
On a coordinate plane, a triangle is shifted to the left.
On a coordinate plane, a triangle is enlarged to form another triangle.
On a coordinate plane, a triangle is shifted up and to the left.

Answers

Answer:A

Step-by-step explanation:

Answer: Answer is A

Step-by-step explanation: i got it right on edge 2023 <33

How can you use unit rates to make comparisons

Answers

Equivalent rates can be used to compare different sets of quantities that have the same value. A rate that compares a quantity to one is called a unit rate. The unit rate has a denominator equal to one when written as a fraction. Unit rates can be used to find larger equivalent rates.

Answer with proper units too!

Answers

Answer:

Step-by-step explanation:

1. Area of a parallelogram = base * height

 area = 10 * 4 = 40 in squared

perimeter = 2(a + b)

perimeter = 2 * (5 + 10) = 2 * 15 = 30in

2. Area of triangle = 1/2 * base * height

area = 1/2 * 21 * 8 = 84 cm squared

perimeter = sum of outer perimeters

perimeter= 10cm + 17cm + 21cm = 48cm

3.  area of trapezium = 1/2 * (a+b) * h

 area = 1/2 * (6+12) * 4 = 36ft squared

 perimeter = sum of outer perimeters

 perimeter = 5ft + 6ft + 12ft + 5ft = 28ft

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