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TiliK225 [7]
3 years ago
10

In a songwriting competition, the minimum length of a song is 2.5 minutes. The maximum length of a song is 5.5 minutes. Write an

absolute value equation that has these minimum and maximum lengths as its solutions.
Mathematics
2 answers:
bulgar [2K]3 years ago
7 0

Answer:

The required absolute value equation that has these minimum and maximum lengths as its solutions is |x-4| = 1.5

Step-by-step explanation:

Consider the provided information.

In a songwriting competition, the minimum length of a song is 2.5 minutes. The maximum length of a song is 5.5 minutes.

Let x is the length of song.

The range is 2.5 to 5.5

Find the mid point of the range as shown:

\frac{2.5+5.5}{2}=4

Thus, for every x the inequality holds:

2.5 = x or x = 5.5

Subtract 4 from each sides.

2.5 - 4 = x - 4 or  x - 4 = 5.5 - 4

-1.5 = x - 4 or x - 4 = 1.5

This can be written as:

|x-4| = 1.5

Hence, the required absolute value equation that has these minimum and maximum lengths as its solutions is |x-4| = 1.5

erik [133]3 years ago
4 0
|4 - x| < 1.5 minutes, where x = length of song <span>
or 
|x - 4| < 1.5 minutes, where x = length of song 

<span>Explanation: 4 minutes is the midpoint between 2.5 and 5.5 and is 1.5 minutes away from both 2.5 and 5.5, so the difference in the length of the song (x) and 4 minutes cannot be greater than 1.5 minutes.</span></span>
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Find the inverse of function f. f(x)=9x+7 A. B. C. D.
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Answer:

y = (x-7)/9

Step-by-step explanation:

y = 9x + 7

x = 9y + 7

x - 7 = 9y

y = (x-7)/9

8 0
3 years ago
Joey is riding his bike through the desert. Joey recorded his distance traveled at five different points during his bike ride. T
ikadub [295]

Answer:

I would have to say ether between 15 and 45 or 8 and 24, if it's not that then I got nothing.

7 0
3 years ago
On Monday, Anya read 11 pages of a book in 1/2 hour. On Tuesday, she read 18 pages in 3/4 hour. Did Anya's reading speed increas
Lerok [7]
The way you should go about solving this really depends on how your teacher taught you...However, here's what I would recommend...
You know that 1/2 an hour is equal to 30 minutes, and 3/4 of an hour is equal to 45 minutes.
Using this you can  then solve for how many pages she read per minute by dividing the number of pages read by the number of minutes read:11 pages/ 30 minutes to give you Monday's reading speed,and18 pages/ 45 minutes to give you Tuesday's reading speed.

Next, to calculate a percentage increase you need to do the following:
1. Determine the difference between the speeds (this means you will subtract Monday's reading speed from Tuesday's reading speed.)
2. Next you take that number and divide it by Monday's reading speed.
3. Multiply that answer by 100 to get the percentage.

I'm not going to tell you the speeds, as you should try to attempt to solve it by yourself, and I'm sure you need to show your work. I will however tell you that you should find there was a 3.3% increase from Monday to Tuesday.

If you need more help, let me know!  
4 0
2 years ago
Today was my first day :p<br> Brainliest goes to whoever inserts the funniest picture :&gt;
Artyom0805 [142]
this gotta be funny

5 0
2 years ago
Jenna has $50 to spend at a local craft fair. The entrance price for the fair is $10. At a pottery stand. Jenna finds cups that
taurus [48]

Answer:

8

Step-by-step explanation:

4.5x+10<=50

4.5x<=50-10

4.5x<=40

x<=8.9

round down because can't go beyond 50

x=8 max

8 0
3 years ago
Read 2 more answers
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