Answer:
The number of adults tickets and student tickets purchased is 5 and 3.
Given that,
Tickets to a movie cost $7.25 for adults and $5.50 for students.
A group of friends purchased 8 tickets for $52.75.
Here we assume the no of adult tickets and no of student tickets be x and y.
Based on the above information, the calculation is as follows:
7.25x + 5.50y = 52.75 .............(i)
x + y = 8
x = 8 - y..................(2)
Now put the x value in the equation (1)
So,
7.25(8-y) + 5.50y = 52.75
7.25 × 8 - 7.25y + 5.50y = 52.75
58 - 1.75y = 52.75
5.25 = 1.75y
y = 3
So,
x = 8 - 3
= 5
Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.
-Hope this helps<3
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
Answer and Step-by-step explanation:
We are given the word format of an equation.
Let's right it out in numerical form.
The first part says One fourth the sum of x and 10
The sum of x and 10 would be shown as x + 10, and one fourth of that means that 
is multiplying (x + 10).
In this case, identical would mean equal to.
So, (x + 10) would be = to something.
It says that it is identical to x minus 4 (x - 4).
<u> is the equation.</u>
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
- after 4.5 months (or 5)
- $795
Step-by-step explanation:
10% of $100 per month is $10 per month.
1. By saving $10 per month on insurance cost, Dan's savings after 4.5 months will be equal to the $45 cost of his course. (If billing is monthly, he won't experience any net gain from the course until the 5th insurance payment--after 5 months.)
__
2. In 7 years, the savings on insurance costs will total ...
(7 years)×(12 months/year)×($10 /month) = $840
His cost for the course is $45, so his net saving is ...
$840 -45 = $795 . . . net saving by age 25
