Answer: 12 yearly admissions and 38 single admissions
Step-by-step explanation:
Let x be yearly membership
Let y be single admission
x+y=50 --> # of tickets sold
35.25x+6.25y=660.50 --> $ of tickets
Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)
-3525x-3525y=-176250
+ 3525+625y=66050
-----------------------------------
-2900y=-110200
y=38
Substitute y=38 into equation 1
x+38=50
x=12
Therefore, 12 yearly admissions and 38 single admissions were sold
The surface area of a right rectangular prism is the sum of the areas of all six faces of the prism. To calculate the total surface area, you must calculate the area of each face, and then you add all six areas together. Each face is a rectangle. As a shortcut, you really only need to find at most three areas since each two opposite faces are congruent rectangles and have equal areas. Since the area of a rectangle is length times width, and they are both measured in linear measurements, such are meters or feet, the area of each face is in square meters or square feet. The total area is also measured n square meters or square feet. If you are painting a room, including all walls, the floor and the ceiling, it would be helpful to know the total surface area to calculate the amount of paint needed. Also, if you are wrapping a box that is shaped like a right rectangular prism, the the total surface area will tell you how much area of wrapping paper you need.
The volume of a right rectangular prism is the amount of three-dimensional space it occupies. To calculate it, you multiply the length by the width by the height. Since length, width, and height are linear measures, with units such as meters or feet, the volume is a cubic measure measured in cubic meters or cubic feet. If you have a certain volume of an item that you need to put in a box, then by knowing how to calculate the volume of the box, you can tell what size box you will need.
since the first number is negative and the 2nd is positive just add the two together
-28 + 65 = 93 degree warmer in Miami
Answer18:
The quadrilateral ABCD is not a parallelogram
Answer19:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
For question 18:
Given that vertices of a quadrilateral are A(-4,-1), B(-4,6), C(2,6) and D(2,-4)
The slope of a line is given m=
Now,
The slope of a line AB:
m=
m=
m=
The slope is 90 degree
The slope of a line BC:
m=
m=
m=
The slope is zero degree
The slope of a line CD:
m=
m=
m=
The slope is 90 degree
The slope of a line DA:
m=
m=
m=
m=
The slope of the only line AB and CD are the same.
Thus, The quadrilateral ABCD is not a parallelogram
For question 19:
Given that vertices of a quadrilateral are A(-2,3), B(3,2), C(2,-1) and D(-3,0)
The slope of a line is given m=
Now,
The slope of a line AB:
m=
m=
m=
The slope of a line BC:
m=
m=
m=
m=3
The slope of a line CD:
m=
m=
m=
The slope of a line DA:
m=
m=
m=3
The slope of the line AB and CD are the same
The slope of the line BC and DA are the same
Thus, The quadrilateral ABCD is a parallelogram
Answer:
E
Step-by-step explanation:
let a, b, c represent the number of students in 6th, 7th, 8th grade
ratio of students : teachers = 28 : 1
There are 82 teachers , so 28 × 82 = 2296 students
Then
a + b + c = 2296 , that is
828 + b + c = 2296 ( subtract 828 from both sides )
b + c = 1468 → E
