<span><span>x3-6x2+11x-6=0</span> </span>Three solutions were found :<span> x = 3 x = 2<span> x = 1</span></span>
Answer: Daria earns a fixed amount of $55 for each television.
Step-by-step explanation:
Let a represent the fixed amount that Daria earns for each television.
Daria earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. This means that if she sells b televisions with extended warranties, the total amount that she would earn is
ab + 25b
If Daria sells 14 televisions with extended warranties,she earns $1,120. Therefore,
14a + 14 × 25 = 1120
14a + 350 = 1120
14a = 1120 - 350
14a = 770
a = 770/14
a = 55
Answer:
177 Students
176 Adults
Step-by-step explanation:
Adult - (A) $5
Student - (S) $3.50
Equation 1: A+S = 353 tickets
Equation 2: 5A + 3.50S = $1500
Sub equation 1 into 2:
5A + 3.50(353 - A) = 1500
Multiply: 5A + 1235.50 -3.50A =1500
Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:
264.50/1.50 = 176 Adults
Sub into equation 1:
176 +S = 353
Solve: 353 - 176 = 177 Students
Check: 5(176) + 3.50(177) = $1500
1499.5 rounded = 1500 = 1500 ✔
I hope this helped!