Answer:
First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:
x² + 65² = 97²
=> x² = 97² - 65²
=> x² = 5184
=> x = √5184 = 72 (m)
The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)
We have: 137 - 97 = 40 (m)
So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington
Answer:
35 hotdogs and 52 sodas sold.
Step-by-step explanation:
x = the number of hotdogs sold, x>0
y = the number of sodas sold, y>0
At the end of the night you made a total of $78.50:
1.50x + 0.50y = 78.50
You sold a total of 87 hotdogs and sodas combined:
x + y = 87
We have the following system of equations:
1.50x + 0.50y = 78.50
x + y = 87
Answer:
1. slope = 4 intercept = -2
2. slope = 2/3 intercept = -4
3. slope = -1 intercept = 13
Step-by-step explanation:
I am pretty sure it's Y=2/5x - 4.8. I'm sorry if it's wrong
<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula.
The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get:
7! / (5!*2!) = 7*6 / 2 = 21
21 subsets can be created</span>
