Answer:
Option C ![\left|80-5x\right|\le 4](https://tex.z-dn.net/?f=%5Cleft%7C80-5x%5Cright%7C%5Cle%204)
Step-by-step explanation:
Let
x ----> the cost of the concert ticket
we know that
The total cost to be no more than $4 Above $80
so
![5x\leq 80+4](https://tex.z-dn.net/?f=5x%5Cleq%2080%2B4)
Solve for x
![x\leq \$16.80](https://tex.z-dn.net/?f=x%5Cleq%20%5C%2416.80)
The total cost to be no more than $4 below $80
so
![5x\geq 80-4](https://tex.z-dn.net/?f=5x%5Cgeq%2080-4)
Solve for x
![5x\geq 76](https://tex.z-dn.net/?f=5x%5Cgeq%2076)
![x\geq \$15.2](https://tex.z-dn.net/?f=x%5Cgeq%20%5C%2415.2)
therefore
The inequality that represent this problem is
![\left|5x-80\right|\le 4](https://tex.z-dn.net/?f=%5Cleft%7C5x-80%5Cright%7C%5Cle%204)
<u><em>Verify</em></u>
<em>First solution (positive case</em>)
![+(5x-80)\le 4](https://tex.z-dn.net/?f=%2B%285x-80%29%5Cle%204)
![5x\le 80+4](https://tex.z-dn.net/?f=5x%5Cle%2080%2B4)
Solve for x
----> is ok
<em>Second solution (negative case)</em>
![-(5x-80)\le 4](https://tex.z-dn.net/?f=-%285x-80%29%5Cle%204)
Multiply by -1 both sides
![(5x-80)\ge -4](https://tex.z-dn.net/?f=%285x-80%29%5Cge%20-4)
![5x\geq 80-4](https://tex.z-dn.net/?f=5x%5Cgeq%2080-4)
Solve for x
![5x\geq 76](https://tex.z-dn.net/?f=5x%5Cgeq%2076)
---> is ok
Remember that
is equivalent to ![\left|80-5x\right|\le 4](https://tex.z-dn.net/?f=%5Cleft%7C80-5x%5Cright%7C%5Cle%204)
Because is a absolute value
Answer:
63/8
Step-by-step explanation:
For this question all you have to do is times the 9 and 7 and put the denominator(in this case 8) underneath to make a fraction. The answer totals as 63/8 or 7 and 7/8.
Answer:
Step-by-step explanation:
<u>There are a total of 35 questions on a test:</u>
Points from multiple choice answers = 2m
Points from short answers = 5s
<u>There are a total of 100 points on the test:</u>
<span>Isabella can buy together 5 paintbrushes ( p ) and jars of paint ( p ) : j + p = 5, She can`t buy 4 items ( because 4 * $0.99 = $3.96 < $4.87 ) and she also can`t buy 6 items ( 6 * $0.95 = $5.70 > $4.87 ). So: p = 5 - j. Another equation is: 0.95 * ( 5 - j ) + 0.99 j = 4.87, 4.75 - 0.95 j + 0.99 j = 4.87; 0.04 j = 0.12; j = 0.12 : 0.04; j = 3, p = 5 - 3 = 2. We can prove it: 0.95 * 2 + 0.99 * 3 = 1.90 + 2.97 = 4.87. Answer: Isabella buys 2 paintbrushes and 3 jars of paint. </span>