Answer: x = - 2√5, √5/3
Step-by-step explantion
3 √ 5 x 2 + 25 x − 10 √ 5 = 0 35x2+25x−105=0
⇒ 3√5x2 + 30x – 5x – 10√5 = 0
⇒ 3√5x(x + 2√5) – 5(x + 2√5) = 0
⇒ (x + 2√5)(3√5x – 5) = 0
x = - 2√5, √5/3
Marcus went above his budget as 25% percent of his allowance would be $5, and he went $2.42 over.
No. If only the variable, "x" doubles, then the variable, "y" would not double, UNLESS it says that if BOTH variables double.
Answer:
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
Step-by-step explanation:
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
To check, we can solve how much sunscreen is in a family sized bottle first. We need to find what is 20% of 12. First, turn 20% into a decimal: 20%/100= 0.2. Now, multiply 0.2 by 12, which is 2.4. Then, you add this to 12 because it is 20% more. 12+2.4= 14.4. Multiply this by 4: 14.4*4=57.6. Since his number is close to 50, he is kinda correct, but a much more reasonable answer would be closer to 60. Hope this helped!
