D. 111 because the leg band on the 13 she caught are frogs she caught on the batch of 54 so minus 13 from 70 to get 57 so she caught 54 first week and 57 new frogs next week so 111 in total
We have a three unknown, 4 equation homogeneous system. These always have at least (0,0,0) as a solution. Let's write the equations, one column at a time.
1a + 0b + 0c = 0
-1a + 1b +0c = 0
0a - 1b + c = 0
0a + 0b + -1 c = 0
We could do row reduction but these are easy enough not to bother.
Equation 1 says
a = 0
Equation 4 says
c = 0
Substituting in the two remaining,
-1(0) + 1b + 0c = 0
b = 0
0(0) - 1b + 0 = 0
b = 0
The only 3-tuple satisfying the vector equation is (a,b,c)=(0,0,0)
Answer choice C
118.10/66.35=1.779 or 1.78
1.78x100=178
For this case we must follow the following rules of rounding
1) If the previous number is greater than or equal to five, then the next number increases by one unit
2) If the previous number is less than five, then the next number stays the same
Therefore, the steps for rounding to the nearest tenth is:
1) We observe that 3 is less than 5.
2) Therefore, the next number stays the same
Rounding to the nearest tenth is:
5.6
Answer:
1) We observe that 3 is less than 5.
2) Therefore, the next number stays the same
5.6
