Given that <span>C = { X | X + 6 = 10}
This can be interpreted grammatically as "C is a set X such that X is the solution to X + 6 = 10".
Given that X + 6 = 10
X = 10 - 6 = 4
Therefore, the solution is
C = {4}
</span>
Try this solution:
Answer: 6 & 4.5 (m-per-h)
Step-by-step explanation:
- The basic formula used in this task is S=V*t, where S - distance, V - speed, t - time.
- the downstream speed is: V+Vc, where V - the speed of the boat in still water, Vc - the speed of the current.
- the upstream speed is: V-Vc.
- according to the described above the distance for downstream is S1=(V+Vc)*t1, where t1=10; the distance for upstream is S2=(V-Vc)*t2, where t2=70.
- for whole travel down- and upstream: S=S1+S2.
- Using these it is possible to make up the system of the equations:
V - the speed of the boat in still water - 6 miles per hour, Vc - the speed of the current - 4.5 miles per hour. All the details for the system of the equations are in the attachment.
Answer:
9 1/6 yd
Step-by-step explanation:
First, list the lengths of ribbon Laura had or acquired:
8 3/10 yd + 4 3/5 yd. This is equivalent to 8 3/10 yd + 4 6/10 yd, or
12 9/10 yd.
Next, list the lengths of ribbon Laura used:
1 2/5 yd + 2 1/3 yd. The LCD here is 15, so we have 1 6/15 yd + 2 5/15 yd.
Summing up, we get 3 11/15 yd.
Subtract this length from the original 12 9/10 yard with which Laura began:
12 9/10 yd or 12 27/30 yd (LCD is 30)
- 3 11/15 yd or -3 22/30 yd
Subtracting the latter two quantities, we get 9 5/30 yd, or 9 1/6 yd