Let's identify what we are looking for in terms of variables. Sandwiches are s and coffee is c. Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c. Those all put together on one bill comes to 26. So Casey's equation for his purchases is 3s + 5c = 26. Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23. Eric's equation for his purchases then is 4s + 2c = 23. In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's. The coefficients on the s terms are 4 and 3. 4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out. 4[3s + 5c = 26] means that 12s + 20c = 104. Multiplying the second bolded equation by -3: -3[4s + 2c = 23] means that -12s - 6c = -69. The s terms cancel because 12s - 12s = 0s. We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for. 20c = 104 and -6c = -69. Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35. That means that c = 2.5 and a cup of coffee is $2.50. There you go!
A customer that uses an internet plan that costs $10 per month is expected to give a customer rating of 6
<h3>How to determine the customer rating?</h3>
We start by calculating the regression equation of the table of values using a graphing calculator.
Using the graphing calculator, we have:
y = 0.04x + 5.75
When the cost is $10 per month, it means that
x = 10
So, we have:
y = 0.04 * 10 + 5.75
Evaluate
y = 6.15
Approximate
y = 6
Hence, a customer that uses an internet plan that costs $10 per month is expected to give a customer rating of 6
Read more about regression equations at:
brainly.com/question/17844286
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1. distributive property
2. commutative property (the order of 8x and -24 is swapped)
3. reflexive property ((8-24) = -16; -16 is substituted for 8-24. I prefer "substitution property".)
4. commutative property (the order of 8x and -16 is swapped)
5. distributive property
Answer:171 and 172
Step-by-step explanation;
171+172=343
Answer:
43:24
Step-by-step explanation:
1. Keep 43 passengers in mind
2. To find how many women you would take 43 passengers minus 19 Arman
3. You should get 24, that's how many women
4. Set up your ratio: 43:24, 43/24 Any could work
