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!
Answer:
<h3>Very sorry if this is wrong but, I think the answer would be 48 inches. </h3>
Step-by-step explanation:
If every 3ft. = 2in. then I believe you would first divide the length and width by 3. So 6 divided by 3 is 2 and 18 divided by 3 is 6. Then you would multiply 2 and 6 by 2 since every 3ft = 2in.
The answer is 99
-67-32=-99
distance can't be negative so its 99
Step-by-step explanation:
x+2x+3x=180
6X=180
x=180/6
x=30
again
2 x=2×30
=60
3×=3×30
=90
Answer:
I think it's C im not certain
