The ratio of employees who
play musical instruments to
employees who play sports is
3:20. If there are 40
employees who play sports,
how many employees play
musical instruments?

Answers

Answer 1

Answer:

Employees who play musical instruments = 6

Step-by-step explanation:

Given that:

Ratio of employees who play musical instruments to employees who play sports is 3 : 20

Number of employees who play sports = 40

Let,

x be the number of employees who play musical instruments.

Ratio = x : 40

As the relationship is proportional,

3 : 20 :: x : 40

Product of mean = Product of extreme

20x = 120

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{120}{20}\\x=6[/tex]

Hence,

Employees who play musical instruments = 6


Related Questions

If a point is translated down 6 Units what are the new coordinates expressed as an algebraic representation

Answers

Answer:

(x, y - 6)

Step-by-step explanation:

which round to ten 9.943, 9.501, 9.234, 9.612

Answers

Answer:

What is it rounded up to???

Step-by-step explanation:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the expressions given in words with their values when d = 3.
2
1
4
3
0
the difference of 2 times d minus 3
4 added to the difference of d minus 3
the difference of d minus 3 divided by 2
the quotient of 12 divided by the
difference of 3 times d minus 3

Answers

Answer:

the difference of 2 times d minus 3= 6

4 added to the difference of d minus 3= 4

the difference of d minus 3 divided by 2= 0

the quotient of 12 divided by the difference of 3 times d minus 3= 2

Step-by-step explanation:

2 times 3 equals 6. 3 minus 3 equals 0. 6-0=6

d minus 3 equals 0. 4+0 equals 4

3 minus d equals 0. 0 divided by two is 0

3 times d= 9. minus 3 = 6. 12 divided by 6 = 2

hope this helps! (:

The correct pairs are:

The difference of 2 times d minus 3 --> 3

4 added to the difference of d minus 3 --> 4

The difference of d minus 3 divided by 2 --> 0

The quotient of 12 divided by the difference of 3 times d minus 3 --> 2

Write the improper fraction as a mixed number in simplest form.
14/6

Answers

14/6 = 2.333 = 2

14 - (6x2) = 2

2 2/6 = 2 1/3

Answer:

2 and 1 third

Step-by-step explanation:

2 1/3

Given a sequence is defined by the explicit definition: tn=2n−n

Find the 6th term of the sequence (i.e. t6 )

Answers

Answer:

The 6th term of the sequence is 58.

Step-by-step explanation:

The sequence is given by the following definition:

[tex]t_n = 2^n - n[/tex]

Find the 6th term of the sequence

This means that [tex]n = 6[/tex]. So

[tex]t_6 = 2^6 - 6 = 64 - 6 = 58[/tex]

The 6th term of the sequence is 58.

which of the following is not the same set of numbers?
A) counting numbers
B) positive integers
C) whole numbers
D) natural numbers ​

Answers

positive numbers is not the same set of number

Answer:

C

Step-by-step explanation:

Simplify 3[(5-2)3+4]

Answers

Answer:

39

Step-by-step explanation:

Answer: 39

Step-by-step explanation: You do 5-2=3 and then (3)3=9 then add 9 and 4 to get 13 and then do 13x3 and get 39

Part A
In triangle ABC, the measure of angle A is 90° the measure of angle B is 45°, and the measure of angle cis
45°. What is the combined measure of the three angles?

Answers

The combined measure is 180 degrees

13 points!! Mikes bikes charges an initial fee of $10 to rent a bike plus $5 per hour (h) of use. If the total cost (t) can be determined using the equation t=10+5h, what is the greatest number of hours someone can rent a bike for $25

Answers

Answer:

Greatest number of hours = 3

Step-by-step explanation:

Given that:

Initial charges = $10

Per hour charges = $5

Number of hours = h

Equation;

t = 10 + 5h

For finding the hours for $25, we will put t=25 in the equation

25 = 10 + 5h

25 - 10 = 5h

5h = 15

Dividing both sides by 5

[tex]\frac{5h}{5}=\frac{15}{5}\\h=3[/tex]

Hence,

Greatest number of hours = 3

Answer:

3

Step-by-step explanation:

( p • 1) • 6 = ? halp

Answers

Answer:

= 6p Hope I helped. have a nice day!

(Blank) x 1/6 = 5/6


I haven’t done this in a while so I need help.

Answers

Answer:

5

Step-by-step explanation:

Divide 5/6 by 1/6 to get 5 as your answer.

drake has nickels, dimes, and quarters in his pocket. The 18 coins have a value of $2.30. If there are three times as many dimes as quarters, how many nickels are there

Answers

Answer:

   4 quarters=1.00

   12 dimes=1.20

  +2 nickles=0.10

   18 coins=2.30

Step-by-step explanation:

So there are 4 quarters, 12 dimes, and 2 nickels.

Nick has a box of ornaments. All of them are blue, exept for 6. All of them are green, exept for 6. All of them are red, exept for 6. How many of each colored ornament does he have?

Answers

Answer: 3 ornaments of each color

Step-by-step explanation:

There are 3 colors.
For each of the colors, the other two colors have 6 ornaments, hence we can determine that there are 3 ornaments of each color.


f(3)= 5x^2 - 4x + 9
evaluate this quadratic function

Answers

Answer:

[tex]f(3) = 38[/tex]

Step-by-step explanation:

Given the quadratic function

[tex]f\left(x\right)=\:5x^2\:-\:4x\:+\:9[/tex]

Evaluating the quadratic function

[tex]f\left(x\right)=\:5x^2\:-\:4x\:+\:9[/tex]

substitute x = 3

[tex]f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9[/tex]

[tex]f(3) = 45-16+9[/tex]

[tex]f(3) = 38[/tex]

Therefore,

[tex]f(3) = 38[/tex]

help me plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

3p=1/2

Step-by-step explanation:

3 p's balance with 1/2 making them equal

4x + 2y = 6
x − y = 3

What is the value of the x variable in the solution to the following system of equations?

Answers

hope this helps!

Let me know if you have any questions!

A scientist studying water quality measures the lead level in parts per billion (ppb) at each of 49 randomly chosen locations along a water line. Suppose that the lead levels across all the locations on this line are strongly skewed to the right with a mean of ppb17 and a standard deviation of 14ppb. Assume that the measurements in the sample are independent.

Required:
What is the probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb?

Answers

Answer:

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = 0.1587

Step-by-step explanation:

Step(i):-

Given that the size of the sample 'n' =49

Mean of the Population = 17ppb

The standard deviation of the population = 14ppb

Let 'X' be the random variable in a normal distribution

[tex]Z = \frac{x-mean}{\frac{S.D}{\sqrt{n} } } = \frac{15-17}{\frac{14}{\sqrt{49} } } = -1[/tex]

Step(ii):-

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = P(Z<-1) = 1-P(Z>-1)

                             = 1-(0.5+A(-1))

                             = 0.5 - A(1)

                            = 0.5-0.3413

                            = 0.1587

Final answer:-

The probability that the mean lead level from the sample of 49 measurements T is less than 15 ppb

P(x⁻< 15) = 0.1587

Answer:

0.16

Step-by-step explanation:

A movie store sells DVDs for $16 each. What is the cost, "C", of "n" DVDs? Is the data Continuous or Discrete?


A. C = 16n; Continuous

B. C = 16 + n; Discrete

C. C = 16n; Discrete

D. C = 16 + n; Continuous

Answers

Answer: C = 16n; Discrete

Step-by-step explanation:

From the question, a movie store sells DVDs for $16 each. The cost, "C", of "n" DVDs will be calculated by multiplying $16 by n. This will be:

C = 16 × n

C = 16n

This is dicrete as the valuea that'll be gotten will take some particular values.

helppppppp me plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

z=15

Step-by-step explanation:

45 = 3z Because there are three z's, equal to one 45.

45 = 3z

z   = 15

Answer:

B. 45 = 3x

x = 15

Step-by-step explanation:

3 triangles worth "z" value each, is equal to 1 square equivalent to 45 in value. This means that 3z = 45. This means that z = 15, becuase, 3 * 15 = 45.

What is the exact value of sin (-5x/3
1/2
-1/2
✔️3/2
-✔️3/2

Answers

Answer:

Step-by-step explanation:

A triangle has two sides that have lengths of 37 cm and 19 cm. Which could represent the possible length of the third side?

Answers

Answer:

[tex]18cm<X<56cm[/tex]

Step-by-step explanation:

From the question we are told that

First side 37 cm

Second side 19 cm

Generally considering the triangle inequality theorem we have

  [tex]37+19>X\\X+37>19\\X+19>37[/tex]

Solving equations we have

  [tex]X<56\\X>18\\X>-18[/tex]

Generally from the inequalities the range of X is mathematically given as

[tex]X>18\\X<56[/tex]

[tex]18cm<X<56cm[/tex]

Therefore the range of the Third side is

[tex]18cm<X<56cm[/tex]

For his exercise today, Ivan plans to both run and swim. Let r be the number of laps he runs and let s be the number of laps he swims. Each lap he runs takes him 4 minutes, and each lap he swims takes him 2 minutes. He wants to exercise for more than 45 minutes today. Using the values and variables given, write an inequality describing this.

Answers

Answer:

4r + 2s > 45

Step-by-step explanation:

:) :) :) :) :) :) :)

Which expression has a positive quotient

Answers

Answer:

a

Step-by-step explanation:

both sides being negative turns it positive

Consumable resources are used up as you build goods or deliver services in your business. If your business uses on average 6 ounces of milk in a shake and serves 86 shakes per day, how many gallons of milk do you need to order each week? (1 gallon = 128 ounces)

a) 25
b) 27
c) 29
d) 32​

Note: I think it is either 27 or 29 because when you do the math, you get 28.21875. I took 6 × 86 = 516, 516 ÷ 128 = 4.02125 × 7 = 28.21875

Answers

Complete Question

Answer:

28.21875 gallons

Step-by-step explanation:

Step 1

From the above question:

1 shake = 6 ounces of milk

86 shakes = x

Cross Multiply

x = 86 × 6 ounces of milk

x = 516 ounces of milk

Step 2

1 gallon = 128 ounces

Hence:

For 1 day

128 ounces of milk = 1 gallon

516 ounces of milks = x gallon

Cross Multiply

128 ounces × x = 516 ounces × 1

x = 516 ounces /128 ounces

x = 4.03125 gallons

For 1 week = 7 days

1 days = 4.03125 gallons

7 days = x

Cross Multiply

x = 7 × 4.03125

x = 28.21875 gallons

Therefore, she needs to order 28.21875 gallons of milk each week

Answer:

29

Step-by-step explanation:

Name each level of measurement for which data can be quantitative. Select all the levels of measurement for which data can be quantitative.

Answers

Answer: Interval, Ratio, ordinal

Step-by-step explanation:

Quantitative data refers to data with numerical variables and have numerical meaning for which mathematical inferences can be made. The interval scale is used are used only for quantitative variables. They provide an fixed and ordered arrangement on their scale and also provide useful and reasonable differences in values.

The ratio scale is another quantitative scale which is very similar to the interval scale, providing meaningful difference between the values. The ratio scale gives a true zero (zero here means none) value which is different from interval whose zero value does not mean real zero.

The ordinal scale can be applied to both Qualitative and quantitative variables, the scale gives a rank and ordered meaning to measurement. However, the numbers or scale values cannot be used for mathematical computation as they'll provide no useful meaning.

Jim has gotten scores of 79 and 70 on his first two test. What score must he get on his third test to keep an average of 96 or greater?

Answers

Answer:

he must get at least 139... which isn't really possible lol

Step-by-step explanation:

(79+70+x)/3  > 96

149+x > 288

x > 139

In ΔPQR, ∠P and ∠Q are complementary angles. If sin Q = 3/5, then what is cos P + cos q

Plz hurry

Answers

Answer:7/5

Step-by-step explanation:

Sarah can run 8.2 miles per hour. How many miles can she run in 2.5 hours?

Answers

Answer:

20.5 miles

Step-by-step explanation:

add 8.2 + 8.2 = 16.4 + 4.1 = 20.5

Hope this helps! :)

What is the solution to this inequality?

6x−5>−29


​ x −4 ​

​ x>4

Answers

Answer:

x>4

Step-by-step explanation:

Answer: x>-4

Step-by-step explanation:

1. Add five to both sides [ this will cancel out the five ]

6x - 5 > -29

     +5    +5    

----------------------

6x > -24

2. Divide by six on both sides

6x > -24

----    ------

6         6

WHICH EQUALS

x > -4      

I GIVEEEEEEE BRAINLILSTTTTTTTTTT

Answers

Answer:

I think its J, but I'm not 100% posative

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