Answer:
Step-by-step explanation:
30
The answer is 1/20.
Hope this Helps
Answer:
12
Step-by-step explanation:
ANSWER
Stacy's speed is 78 mph and Eric's speed is 41 mph.
EXPLANATION
Let Stacy's speed be x.
Let Eric's speed be y.
Stacy travels 4 mph less than 2 times as fast as Eric. This means that:
x = 2y - 4 ____(1)
After 6 hours, they are 222 miles apart. This means that:
Stacy's distance = d miles
Eric's distance = (d - 222) miles
Speed is given as distance divided by time.
So, for Stacy, after 6 hours:
x = d / 6
=> d = 6x
and
For Eric:
y = (d - 222) / 6
Cross multiply:
6y = d - 222
d = 6y + 222
Equate the two d's:
6x = 6y + 222
=> 6x - 6y = 238 ___(2)
We now have two simultaneous equations:
x = 2y - 4 ____(1)
6x - 6y = 222 ___(2)
Put (1) in (2):
6(2y - 4) - 6y = 222
12y - 24 - 6y = 222
6y - 24 = 222
Collect like terms:
6y = 222 + 24
6y = 246
y = 246 / 6
y = 41 mph
Recall that:
x = 2y - 4
x = 2(41) - 4
x = 82 - 4
x = 78 mph
So, Stacy's speed is 78 mph and Eric's speed is 41 mph.
Answer:
-5 19/25, 1/20, 34/40, 5 14/40
Step-by-step explanation:
The negative is the least because it is the furthest left on the number line followed by 1/20 because 1/20 is equal to 2/40. 2/40 is less than 34/40, which is next because 5 14/40 has a integer in the ones place.