Step-by-step explanation:
Olivia's nachos is v.
Raegan's nachos is r.
v = 2r
For this case, the first thing we must do is define variables.
We have then:
x: cost of each bag of popcorn
y: cost of each drink
writing the system of equations we have:
9x + 9y = 117
x + 3y = 23
Solving the system of equations we have:
x = 8 $
y = 5 $
Answer:
a system of equations that can be used to find the price of one bag of popcorn and the price of one drink is:
9x + 9y = 117
x + 3y = 23
The price of a bag of popcorn is $ 8.
The law of an object moving with constant acceleration is

Where
is space,
is time,
is the initial position,
is the initial velocity and
is the acceleration.
In this case, if we choose a reference grid with the vertical axis pointing upwards, the acceleration of gravity will point downwards (and thus be negative). The initial position is zero, because the rocket is on the ground, and the initial velocity is 100 (positive because pointing upwards).
So, its law is

(I changed
for
since the rocket is moving vertically, so its position is actually its height. Also, g is the acceleration due to gravity).
The rocket hits the ground if its height is zero, so if we set
we have

Solving for t, we have either t=0, or

The solution t=0 means that at the beginning the rocket is on the ground. So, we're interested in the other solution. Considering that g is about 32.2 feet/s^2, we have

Answer:
The inequality is 
The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.
Step-by-step explanation:
Given: Cost of first hour rent of jet ski is $55
Cost of each additional 15 minutes of jet ski is $10
Jeremy can spend no more than $105
Assuming the number of additional 15-minutes increment be "x"
Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.
Lets put up an expression for total spending of Jeremy.

We also know that Jeremy can not spend more than $105
∴ Putting up the total spending of Jeremy in an inequality.

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,
⇒ 
Subtracting both side by 55
⇒ 
Dividing both side by 10
⇒
∴ 
Therefore, Jeremy can rent for 
Jeremy can rent maximum of 135 minutes.
Answer:
It is False.
Step-by-step explanation:
When you substitute the coordinates into the inequality equation :




Therefore, 10 isn't greater than 55.