Answer:
76 balls and 24 bats
Step-by-step explanation:
Set up a system of equations where x is the number of balls and y is the number of bats:
x + y = 100
4.5x + 20y = 822
Solve by elimination by multiplying the top equation by -20, then combine the equations together:
-20x - 20y = -2000
4.5x + 20y = 822
-15.5x = -1178
x = 76
Then, plug in 76 as x in the first equation to solve for y:
x + y = 100
76 + y = 100
y = 24
So, 76 balls and 24 bats were purchased.
Since they buy 2 $6.50 tickets, they already spend $13 without buying any popcorn or drinks.
For the expression, you can write-
$5.50d + $6.00p + $13 // d representing however many drinks they buy and p representing the amount of popcorn they buy.
This expression will give you the total amount of money spent with varying amounts of drinks and popcorn bought.
Answer:
The Angles of △SPT are
Step-by-step explanation:
step 1
Find the measure of angle PET
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given values
step 2
Find the measure of angle PTE
we know that
The sum of internal angles of a triangle must be equal to 180 degrees
In the triangle PET
substitute the given values
step 3
Find the measure of angle STP
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given values
step 4
Find the measure of angle SPT
we know that
----> by supplementary angles
step 5
Find the measure of angle PST
we know that
The sum of internal angles of a triangle must be equal to 180 degrees
In the triangle SPT
substitute the given values