Because there are different types of math used for different types of problems
Our basis would be 204 pounds. His original weight, 6 week ago, must be
204 + 2(6) = 216 pounds
But, we have to find the number of weeks having known the present weight (204 pounds) and the target weight (189). The linear equation would be
189 = 204 - 2(number of weeks)
Number of weeks = (204-189)/2
Number of weeks = 7.5
The total number of weeks would then be 6 weeks + 7.5 weeks. It would take Omar 1
3 and a half weeks since he started his diet to reach his target weight.
Answer:
B.) 18
Step-by-step explanation:
90 + 72 = 162
180 - 162 = 18
(90 comes from the right angle)
(72 is already present)
(a triangle adds up to 180 degrees)
Answer:
<h2>77</h2>
Step-by-step explanation:
for each one of the 7 different flavors of frozen yogurt there are 11 possible different toppings
Then there are 7 × 11 = 77 possible choices for a single serving of frozen yogurt with one topping
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!
