During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. At what number(s) measures played would the sound level be at 80 decibels?

Answers

Answer 1

Answer:

The sound level would be at 80 decibels at 1 or 7 number of measures played

Step-by-step explanation:

Equations with Absolute Values

We have the function s to represent the sound level in decibels:

[tex]s = 10|x - 4|+ 50[/tex]

Where x is the number of measures of the music played.

We are required to find the value of x that makes s=80 decibels. We have to find the equation:

[tex]10|x - 4|+ 50 =80[/tex]

Subtracting 50:

[tex]10|x - 4| =80-50[/tex]

[tex]10|x - 4| =30[/tex]

Dividing by 10:

[tex]|x - 4| =30/10=3[/tex]

[tex]|x - 4| =3[/tex]

For the absolute value be equal to 3, its argument could be positive or negative:

[tex]x-4=3[/tex]

Or

[tex]x-4=-3[/tex]

This leads us to two solutions:

[tex]x=3+4=7[/tex]

x=7

Or

[tex]x-4=-3[/tex]

[tex]x=4-3=1[/tex]

x=1

The sound level would be at 80 decibels at 1 or 7 number of measures played


Related Questions

IF CORRECT I'LL MAKE BRAINLYLIST!!!

Answers

Answer:

the answer to you question is x=2

The answer to this equation is x=2

Your soccer team isnt holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction, 1) a tablet costs $280 2) football tickets that cost $100 3) a gift card that cost $20 4) the cost of the food is $400. The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of food and prizes and food. Part a determine the cost per ticket. Part B build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build a function. Part C your soccer team needs to raise at least $300 more than the total cost of the expenses. What is the minimum number of tickets that must to be sold in order for your team to reach their goal? Use the mathematics to justify your response.

Answers

Answer:

  A) $16

  B) p(x) = 16x -800

  C) 69 tickets

Step-by-step explanation:

A) The total of expenses is ...

  $280 +100 +20 +400 = $800

If this is covered by 50 tickets, then a ticket must provide revenue of ...

  $800/50 = $16

The cost per ticket is $16.

__

B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...

  p(x) = 16x -800

__

C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...

  p(x) ≥ 300

  16x -800 ≥ 300 . . . . . use the expression for p(x)

  16x ≥ 1100 . . . . . . . . .  add 800

  x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)

In order to raise at least $300, the number of tickets sold must be at least 69.

Bonita said that the product of 5/6 × 1 2/3 is 7/3.

How can you tell that her answer is wrong?

Answers

Answer: the answear is your question will never get answeared hahahahahahahahahahah

Step-by-step explanation: have fun doing it byeyourself bottttttttttttttttttttttttttttt

help asap please:

Solve x-7y=16 for y

Answers

Answer:

y = (x-16)/7

Step-by-step explanation:

x - 7y = 16

~Subtract x to both sides

-7y = 16 - x

~Divide -7 to everything

y = (16-x)/7

Best of Luck!

Answer:

y = 1/7 x -16/7

Step-by-step explanation:

x-7y=16

Subtract x from each side

x-x-7y=16-x

-7y = -x+16

Divide each side by -7

-7y/-7 = -x/-7 +16/-7

y = 1/7 x -16/7

The sum of two number is 45. If the greater number beis 9more than the smaller one, find the numbers​

Answers

Answer:

X+y=45

X+9=y

Step-by-step explanation:

x+y=45

x-y=-9

adding both equations we get

2x=36

X=18

and

y=27

Answer:

y=27

Step-by-step explanation:

hope i am right

i really don't know

I need help pleasee​

Answers

Answer:

-1/3 i think

Step-by-step explanation:

   

2-(3x-4)=2x-9
confused.

Answers

Answer:

x=3

Step-by-step explanation:

To solve for x in the given equation,follow the steps below.

2-(3x-4)=2x-9

clear bracket

2-3x+4=2x-9

6-3x=2x-9

collect like-terms

2x+3x=6+9

5x=15

divide bothsides by 5

The solution to given equation is 3.

The given equation is 2-(3x-4)=2x-9.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 2-(3x-4)=2x-9

2-3x+4=2x-9

6-3x=2x-9

6+9=2x+3x

15=5x

x=15/5

x=3

Therefore, the solution to given equation is 3.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ6

Sanjeev wants a rug for his room . Which SI unit is best for describing the area of his room

a) meters squared
b) kelvins
c) centimeters cubed
d) milimeters

Answers

Answer:

meters squared

Step-by-step explanation:

kelvin is used to measure temperature. so that isn't it. centimeters cubed is a small measurement and isn't used for a 2d surface like the rug that covers the floor. and millimeters is too small to measure for a rug. the answer is meters squared.

Answer:

meters squared

Step-by-step explanation:

Does the graph show a proportional relationship? Explain your conclusion in the workspace provided

Answers

Answer:

Yes, this is a proportional relationship.

Step-by-step explanation:

It's a steady increase for both the x axis and y axis. The x axis increases by 1, and the y axis increases by 1 1/2. It doesn't veer from those increases.

I hope this helps!

1) Delilah and Amara are both saving money for their vacation. Delilah plans to deposit $17.60 per week into her bank account which currently has a balance of -$308. Amara's bank account is also overdrawn and has a balance of $80. Amara plans to deposit $8.10 a wook into her account. How many weeks (w) must pass for both bank accounts to have the same balance?

A.analyze the given information. Write the general structure of the equation.________________

B. formulate a plan. Write the two variable expressions and define the given variable. Then, write the equation.
Variable defenition:
Right- side expression:
Write the equation:

C. determine a solution. Solve the equation.


Answers

Answer:

B. formulate a plan. Write the two variable expressions and define the given variable. Then, write the equation.

Variable defenition:

Right- side expression:

Write the equation:

Step-by-step explanation:

B. formulate a plan. Write the two variable expressions and define the given variable. Then, write the equation.

Variable defenition:

Right- side expression:

Write the equation:

What is the solution of this equation?
7y – 4 = 9y + 13 – 4y

A. y = 17/2
B. y =9/2
C. y=17/12
D. y= 3/4

Answers

Answer:

A

Step-by-step explanation:

Given

7y - 4 = 9y + 13 - 4y ( simplify right side )

7y - 4 = 5y + 13 ( subtract 5y from both sides )

2y - 4 = 13 ( add 4 to both sides )

2y = 17 ( divide both sides by 2 )

y = [tex]\frac{17}{2}[/tex]

85 is what percent of 155.12

Answers

Answer: it is 45% of 155.12

i’m pretty sure it’s 54.796

can someone help with this

y2+4x2-3y2-2x

Answers

If you are trying to get the Factor of the expression the answer would be
-2(2y-4+x)

If you are trying to Simplify the answer would be
-4y+8-2x

25/38 divided by 15/32

Answers

Answer:1.40350877193

Step-by-step explanation:

Answer:

1 23/57

Step-by-step explanation:

C=85x+60
Solve the equation for x

Answers

Answer:

( C - 60)/ 85 = x

Step-by-step explanation:

C=85x+60

subtract 60 from each side

C-60=85x+60-60

C - 60 = 85x

Divide each side by 85

( C - 60)/ 85 = 85x/85

( C - 60)/ 85 = x

625x43= in exapened form

Answers

Answer:  

40x600

40x20

40x5

+

3x600

3x20

3x5

=

26,875

Step-by-step explanation:

Expanded Notation Form:

 600  

+ 20  

+ 5  

Expanded Factors Form:

 6 × 100  

+ 2 × 10  

+ 5 × 1  

Expanded Exponential Form:

6 × 102

+ 2 × 101

+ 5 × 100

Word Form:

six hundred twenty-five

Expanded Notation Form:

 40  

+ 3  

Expanded Factors Form:

 4 × 10  

+ 3 × 1  

Expanded Exponential Form:

4 × 101

+ 3 × 100

Word Form:

forty-three

Draw and label a number line that represents -5

Answers

Answer:

Look at the picture shown

Step-by-step explanation:

Draw the number line in the picture given

circle the number -5

what the roles of a male and a female at home​

Answers

Answer:

The stereotypical roles are that men were seen as the provider for the family and women were seen as the caretakers of both the home and the family.

Answer:

Your answer is:

Male: Protect Kids If There Are Any, Makes Sure The House Is Protected As Well, Treat The Wife And Kids With Respect, and Work to Provide Income.

Female: Provide Food, Teach Kids, Help Kids, Fix Food For Husband, Clean, and etc.

Step-by-step explanation:

Hope this helped : )

(3x + 10)°
(5x - 10)

Answers

show us what angles!

Ed makes 6% commission on every case of widgets he sells. This week, Ed sold 16 cases for $800.00 each. How much did Ed earn on commission this week? Explain how you got your answer.

Answers

Answer:

$48.00

Step-by-step explanation:

[tex]\mathrm{Multiply\:without\:the\:decimal\:points,\:then\:put\:the\:decimal\:point\:in\:the\:answer}[/tex]

[tex]$\mathrm{Line\:up\:the\:numbers}$[/tex]

 800

x      6

$48.00

800 has 0 decimal places

0.06 has 2 decimal places

[tex]\mathrm{Therefore,\:the\:answer\:has\:}2\mathrm{\:decimal\:places}[/tex]

[tex]=48.00[/tex] or [tex]=48[/tex]

What does the function f (14) = 11 mean

Answers

Answer:

In general, when y = f(x), you are substituting a permissible x value into function f & its calculated 'output' is the value for y. Then (x,y) is an ordered pair, i.e. coordinates of a point on the graph. ... So our ordered pair is (-14,11).

Answer: 11= y and 14=x

Step-by-step explanation: The x coordinate is 14 and the y coordinate is 11.

-2x + 5<7
whats x equal to

Answers

Answer:

x>-1

Step-by-step explanation:

Hope this helps. Plz give brainliest.

X is greater than -1

Someone please help meee asap!!!!

Answers

kimberly is faster and at 5 hours kimberly would’ve ran 25 miles and becca would’ve ran 22.5 (5 x 4.5) beccas MPH and (5 x 5) kimberlys MPH

please help with what goes in the blanks for 50 POINTS

Answers

Answer:

મારે કોઈ ચાવી નથી

Solve the equation y = ax − b for the variable x.
A. x = ya + b
B. x = a+by
C. x = y + ba
D. x = y+ba

Answers

Answer:

(y+b)/a = x

Step-by-step explanation:

y = ax − b

Add b to each side

y+b = ax − b+b

y+b =ax

Divide each side by a

(y+b)/a = ax/a

(y+b)/a = x

Answer:

its d

Step-by-step explanation:

because is you think about it x is y+ba

1)What is the value of x?
drawing not to scale
A)-19
B)125
C)19
D)55
2) M<3=37 find m<1
drawing not to scale
A)37
B)143
C)127
D)153

Answers

question is 19 question two is 37

Answer:

A. C) x = 19

B. A) 37

Step-by-step explanation:

A. 7x - 8 = 6x + 11

7x - 8 - 6x = 6x + 11 - 6x

x - 8 = 11

x - 8 + 8 = 11 + 8

x = 19

B.

If m<3 = 37

<1 = <3

Therefore, m<1 must equal 37

Paul was solving an equation with the variable x. upon simplifying the equation, he concluded the equation has no solution. Which equation could be Paul's equation after he simplified it?
A. X=10
B. X=2
C 8=5
D 7=7

Answers

Answer:

d

Step-by-step explanation:

If you get this right, u will be the brailest!

74,451 - 12,421


ESTIMATED ANSWER!! Thank you so much!!

Answers

62030 is the answer, I get

~62,000 is approximately it but the exact answer is 62,030

Simplify 57 - 6 2 ÷ (2 + 1) · 4.

Answers

The solution to the equation  57 - 6 2 ÷ (2 + 1) · 4 is -25.7.

An equation is an expression used to show the relationship between two or more numbers and variables.

Given the equation:

57 - 6 2 ÷ (2 + 1) · 4

To solve the equation, use BODMAS, first deal with the bracket"

= 57 - 62 ÷ (3).4

Second, solve the division:

= 57 - 20.7 . 4

Next deal with the multiplication:

= 57 - 82.7

Next deal with the subtraction:

= -25.7

The solution to the equation  57 - 6 2 ÷ (2 + 1) · 4 is -25.7.

Find out more on equation at: https://brainly.com/question/2972832

Answer: 9

Step-by-step explanation:

6 to the power of 2 is 36 soo. 57-36÷(2+1)x4 is 9

what is the square root of 1268

Answers

Answer:

35.60

Step-by-step explanation:

Answer:

35.60898763

Step-by-step explanation:

this is the square root of 1268

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