1.
yes
x is number of group acts
y is number of indivual acts
2. I would eliminate x by multiplying 2nd equation by -3 then adding
12x+6y=120
<u>-12x-3y=-90 +
</u>0x+3y=30
3y=30
divide by 3
y=10
sub
4x+y=30
4x+10=30
4x=20
divide 4
x=5
each group act takes 5 mins and each individual takes 10 minutes
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Average speed for the entire trip, both ways, is
(Total distance) divided by (total time) .
We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.
-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.
-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes (5/12 hour) = 25 minutes.
Now we have everything we need.
Distance:
Going: 5 miles
Returning: 5 miles
Total 10 miles
Time:
Going: 50 minutes
Returning: 25 minutes
Total: 75 minutes = 1.25 hours
Average speed for the whole trip =
(total distance) / (total time)
= (10 miles) / (1.25 hours)
= (10 / 1.25) miles/hours
= 8 miles per hour
Answer:
the second one
Step-by-step explanation:
6x4= 24
24 possible outcomes
Answer:
2.38 lb bag = 4.99/lb 5.08 lb bag = 5.21/lb The 2.38 is the better buy
Step-by-step explanation:
11.88/2.38 = 4.99
26.47/5.08 = 5.21
4.99 is cheaper than 5.21 so the 2.38 lb bag is better buy
