Answer:
A - She can ride 43.2 miles in 2 hours.
B - It would take her about 11.1 minutes.
C - She can ride 21.6 miles in 1 hour. (IF THEY WANT IT IN MILES PER MINUTE: She can ride 0.36 miles in 1 minute.)
Step-by-step explanation:
Set up proportions for each :
A - 18/50 = x/120
120(8) = 50x
2160 = 50x
x = 43.2 minutes
B - 18/50 = 4/x
18x = 50(4)
18x = 200
x = 11.1 (repeating)
C - 18/50 = x/60 minutes
18(60) = 50x
1080 = 50x
x = 21.6
If b does not equal 0, can the solution set of ax = b be a plane through the origin
A plane pass through the origin mean it passes (0,0)
When we plug in 0 for x then ax=b becomes
a(0) = 0 , when x = 0 then b not equal to 0 is a contradiction .
So , it is not possible if b does not equal 0, can the solution set of ax = b be a plane through the origin.
We can't see the whole question. :/
Conditional statement is a statement with a hypotesis and a conclusion:
If 
, then 
or mathematically 
.
Converse statement of 
is statement 
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Example:
1. Statement: If it is raining, then I'm at home. (true)
2. Converse: If I'm at home, then it is raining. (not necessarily true)
3. Inverse: If it is not raining, then I'm not at home. (not necessarily true)
4. Contrapositive: If I'm not at home, then it is not raining. (true)
Answer:
.15 meters / 15 centimeters taller
Step-by-step explanation:
315 centimeters converted to meters is 3.15 meters.
