To solve the problem we will find the number of videos bought by Jerome and the total cost of all the videos.
The system of equations that model this information are:
- 15 = x + y
- 164 = 18x + 9y.
<h2>Explanation</h2>
Given to us
- Total amount spent by Jerome = $164
- Total videos bought by Jerome = 15
- Number of classic videos bought = y
- Number of new release videos bought = x
- Cost of a classic video = $8
- Cost of a new release video = $19
<h3>Total cost of all new release videos</h3>
= Number of new releases bought x Cost of a new release video
![= x \times \$19\\ =19x](https://tex.z-dn.net/?f=%3D%20x%20%5Ctimes%20%5C%2419%5C%5C%0A%3D19x)
<h3>Total cost of all classic videos</h3>
= Number of classic videos bought x Cost of a classic video
![= y \times \$8\\ =8 y](https://tex.z-dn.net/?f=%3D%20y%20%5Ctimes%20%5C%248%5C%5C%0A%3D8%20y)
<h2>Total videos bought by Jerome</h2>
Total videos bought by Jerome
= Number of new releases bought + Number of classic videos bought
15 = x + y
<h2>Total amount spent by Jerome </h2>
Total amount spent by Jerome
= Total cost of all new release videos + Total cost of all classic videos
$164 = 19x + 8y
164 = 19x +8y
Hence, the system of equations that model this information are:
- 15 = x + y
- 164 = 18x + 9y.
Learn more about System of Equations:
brainly.com/question/12895249
Answer: (I'm sorry if this is not the right answer)
The width = 8 meters
Step-by-step explanation:
The length: a (m)
The width: b (m)
We cannot have a negative length and a negative width: a>b>0
Eq. I: a=2b-4
Eq. II: ab=96
Substitute the value of a from Eq. I into Eq. II: (2b-4).b=96
Solve for b:
(2b-4).b=96
2
-4b-96=0
-2b-48=0
+6b-8b-48=0
b.(b+6)-8.(b+6)=0
(b+6).(b-8)=0
b=8; b=-6
As mentioned above, b>0. Therefore, b=8
Conclusion: if the area of the rectangle is 96 square meters then its width is 8 meters.
If you read 4.8 out loud it should be "four and eight tenths." This is always a good start when changing a decimal into a fraction. 4 8/10 is a mixed number, so to further simplify it as a mixed number we leave the 4 alone and reduce the fraction 8/10. So we can reduce 8/10 to 4/5. Then you bring the 4 back and put 4/5 with it. So 4.8 as a fraction is 4 4/5.
I hope that helped!
14 - 2n = -32
32 + 14 = 2n
46 = 2n
46/2 = n
23 = n
Checking:
14 - 2(23) = -32
14 - 46 = -32
-32 = -32 (Matched, answer is correct n = 23)