Answer:
$11
Step-by-step explanation:
Set up the system of equations
18x + 9y = 45
20x + 12y = 52
Let's try to get y on one side for the first equation.
9y=45-18x
y=5-2x
Now substitute it into the second equation.
20x + 12(5-2x) = 52
20x + 60 - 24x = 52
-4x = -8
x = 2
Now solve for y using the first equation.
18(2) + 9y = 45
36 + 9y = 45
9y = 9
y = 1
Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.
4(2) + 3(1) = z
8 + 3 = z
11 = z
That means that the price is 11 dollars.
Answer:
P(algebra, then statistics) = 7/80
Step-by-step explanation:
The total number of books is 7 + 8 + 5 = 20.
1. P(algebra, then statistics)
The probability that the first book is an algebra book is 7/20.
Carlos then replaces the book, so the total is still 20.
The probability that the second book is a statistics book is 5/20.
Therefore, the total probability is:
P(algebra, then statistics) = 7/20 × 5/20
P(algebra, then statistics) = 7/80
Answer:
24 cubic inches
Step-by-step explanation:
The formulas for the volume of a cylinder and cone are ...
volume of a cylinder = πr^2·h
volume of a cone = (1/3)πr^2·h
For the same radius and height, the cone has 1/3 the volume of the cylinder. Your cone's volume is ...
(1/3)·(72 cubic inches) = 24 cubic inches
Answer:
Step-by-step explanation:
ok put them in the order i say them
true
true
false
true
false
Answer:
x axis
Step-by-step explanation:
We know the x value stays the same. If you were to graph the line y=3 and y=-3, you would see that it is a reflection over the x axis.
