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: SOLN,
let,<FHC be x
<GHC+<FHC( sum of angle of triangle=180 degree
x+6m+55+8m+55=180
x+ 14m+110=180
x+14m=180-110
x+14m=70
x=70 divied by 14m
x=5m
therefore,the value of <FHC is 5m.
Answer:
480 m²
Step-by-step explanation:
A = bh/2
A = 64 m × 15 m / 2
A = 480 m²
Answer: 17 and 18.
Step-by-step explanation: <em>The simple way is to divide 35 by 2 i.e, 35/2 = 17.5 and take the preceding and succeeding whole numbers. In this case, 17 and 18.</em>
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1,325-35=1,290
50x25=1,250 50x26=1,300
25 months
