Answer:
Divide the 1st equation by 2
a + 2c = 19
Divide the 2nd equation by 3
a + c = 13.5
Subtract the 1st equation and the 2nd equation
c = 5.5
Substituting back into the 2nd equation will give:
a + 5.5 = 13.5
a = 8
Step-by-step explanation:
Step-by-step explanation:
Total numbers of pizza toppings = 12
Number of three topping pizzas can be ordered are:

where = n = number of elements
k = number of elements choosen
n= 12 , k = 3

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.
Answer:
1 | 38
2 | 76
3 | 114
5 | 190
1/2 | 19
2/3 | 25.33
Step-by-step explanation:
I am assuming that you need to multiply the area by the scale factors
Suppose that this person drives at r mph going to the mountains, and gets there in 12 hours. Returning, this person drives at (r+20) mph and gets home in 8 hours. We don't know the distance yet, but can solve for the initial speed, r, by setting
d = 12r = (r+20)(8). Solving for r, r=40 mph (going) and (40+20)mph = 60 mph (returning. Since d=12 r, d = (12 hrs)(40 mph) = 480 miles (answer).