Answer:
The total number of <u>fish caught</u> was 42
Step-by-step explanation:
Answer:
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
Solution:
Step 1: Set up a table with quantity and value.
quantity value total
$3 tickets
$2 tickets
together
Step 2: Fill in the table with information from the question.
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
quantity value total
$3 tickets x 3 3x
$2 tickets y 2 2y
together 350 950
Step 3: Add down each column to get the equations
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.
We are given with the length of the kite string of 80 meters and an angle of 75 degrees of the string with the ground. In this situation, the kite string is the hypotheneuse of the triangle and 75 degrees is the angle of elevation. The height of the kite from the ground is 80 sin 75 or 77.27 meters.
Answer:
<em>The slope of line is </em>
Step-by-step explanation:
Line has the slope and is perpendicular to line
Suppose, the slope of line is
We know that, the <u>product of the slopes of two lines which are perpendicular to each other is always </u>. So, the equation will be..............
So, the slope of line will be
The cylinder's volume is the product of its height and the area of its base. We're told that the height is restricted to the plane , so the height is 4.
The area of the base is obtained by the integral,
Then the volume of the cylinder is 8 + π.