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lord [1]
3 years ago
6

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. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibels?
Mathematics
1 answer:
sweet [91]3 years ago
4 0

Hey Child.

The answer to this is 1 or 7:

To find the range for the number of measures played to satisfy our solution, we must solve for x using s = 80.

Next, we subtract 50 from both sides of the equation.

Next, we divide both sides of the equation by 10

Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.

Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x

Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x

Therefore, x, the number of measures of music played, must be either 1 or 7.

Hope It Helped!~

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Catherine paid $159.00 for an MP3 player. If the price paid includes a 6% sales tax, which of the following equations can be use
Colt1911 [192]

<u>ANSWER: </u>

The equation is y = 1.06x, so option D is correct.

<u>EXPLANATION:</u>

Given:

Amount Catherine is paid  for an MP3 player=$159.00  

The price paid includes a sales tax= 6%

To find:

Equations  that can be used to determine the price of the MP3 player before tax?

Solution:

Now, we know that, total cost = selling price of item + sales tax on item

y = x + 6% of x  

y = x +  \frac{6}{100}x

y = x + 0.06x  

y = 1.06x  

Hence, the equation is y = 1.06x, so option D is correct.

7 0
3 years ago
the larger of two numbers is twice the smaller. if the larger is x what is the smalller. I NEED HELP PLSSS!!
Zarrin [17]

Answer:

Easy. The smaller is x/2.

Step-by-step explanation:

2 times is larger, so larger divided by 2 is the smaller.

8 0
3 years ago
Use the number line to represent -4 1/2 plus 3 1/4
Ilya [14]

Start at - 4 1/2 adding a positive value moves to the right. Moving to the right 3 1/4 the slope becomes -1 1/4

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8 0
3 years ago
ANSWER IF YOU KNOW!
boyakko [2]
2/3x=(-20)
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Hope it helps....
7 0
3 years ago
A truck with 36-in.-diameter wheels is traveling at 55 mi/h.
bagirrra123 [75]

Answer:

The wheels make 512 revolutions per minute

Step-by-step explanation:

Diameter of truck = 36 in

Speed = 55 mi/h

Revolutions per minute =?

Radius r = diameter / 2

r = 36/2

r = 18 inches

Speed = 55 mi/h

1 mile = 63360 inches

55 miles = 55*63360 inches

55 miles = 3484800 inches

1 hr = 60 minutes

Speed = 3484800 inches/60 minutes

Speed = 58,080 inches/min

The formula used to calculate the revolutions per minute is:

revolutions = speed/Circumference

revolutions = 58,080 / 2*3.14*18

revolutions = 58,080 /113.4

revolutions = 512.16

revolutions = 512 revolutions per minute

So, The wheels make 512 revolutions per minute

7 0
3 years ago
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