Answer: The system of
equations that best models this situation are
y = 30x + 120
z = 75x + 15
Step-by-step explanation:
Let x represent the number of months for which John Urschel wants to use either plans of the gym.
Let y represent the total cost of using plan A for x months
Let z represent the total cost of using plan B for x months.
Plan A has a $120 sign-up fee and costs an additional $30 per
month. This means that the total cost of using plan A for x months is expressed as
y = 30x + 120
Plan B costs $75 per month with a signup fee of $15. This means that the total cost of using plan B for x months is expressed as
z = 75x + 15
Answer:
Step-by-step explanation:
We want to know "probability that first is vowel AND second is vowel"
In probability theory, "AND" means Multiplication.
<em>Essentially we want to figure out probability of first drawn to be vowel and multiply that with probability second drawn is vowel as well.</em>
<em />
There are 5 vowels and total 12 letters, so
P (vowel) = 5/12
<u>For the second draw, there are STILL 12 letters and 5 vowels (since the first drawn is REPLACED)</u>. Hence, probability of 2nd vowel is the same. So:
P (vowel for 2nd draw) = 5/12
<em>Now we multiply them to get: </em>
-2.01 is the smaller number
Answer:
Step-by-step explanation:
Slope intercept form is , so we have to find a way to substitute the given information into the equation. We have because it gives us the slope. The slope is -1, as the directions state. Now, we substitute it in and solve for b:
- Substitute -1 in for m⇒
- Substitute in the point (-1, -4) in for and respectively to get
- Solve the equation to get b= -5
After getting the y-intercept, you have the full equation!
So you would at most 1500 minus 100, then use pemdas to solve.