Answer:
- A) 290 km
- B) 4 hours
- C) 72.5 km/h
Step-by-step explanation:
Let distance be d and time t
<u>At 75 km/h speed the distance is</u>
- d = 75(t - 48 min) = 75(t - 48/60 hours)
<u>At 50 km/h speed the distance</u> is
<u>Since the distance is same, we get the equation:</u>
- 75(t - 48/60) = 50t + 40
- 75t - 75*4/5 = 50t + 40
- 75t - 60 = 50t + 40
- 75t - 50t = 40 + 60
- 25t = 100
- t = 4 hours
<u>A) The distance between A and B</u>
<u>B) Time is </u>
<u>C) The speed = d/t</u>
- Speed = 290/4 = 72.5 km/h
Answer: 6x+2y=1
Step-by-step explanation:
because it just is
Answer:
There are 40 musicians that are only marching band.
Step-by-step explanation:
Since we knot that there are 25 musicians that do both that means there is 60 - 25 = 35 musicians who do only jazz band. From his we can answer the question because....
100 = a + b + c
Where "a" is the number of musicians who go only to jazz, "b" is the number of people who do both, and "c" is the number of people that go only to the marching band. From here we can do this....
100 = a + b + c
c = 100 - a - b
Substitute the value we found outa and get.....
c = 100 - 35 - 25
c = 40
Answer:
If an equation has no solution, then the solution set is the _<u>empty set</u>_ and
is denoted by _<u>{ } </u><u>or </u><u>∅</u>__.
-- The filler pipe can fill 1/6 of the pool every hour.
-- The drainer pipe can drain 1/10 of the pool every hour.
-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.
-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties. The difference is (1/6) - (1/10).
To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.
1/6 = 5/30
1/10 = 3/30 .
So in every hour, 5/30 of the pool fills, and 3/30 of the pool empties.
The result of both at the same time is that 2/30 = 1/15 fills each hour.
If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.
If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours. With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted.
I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week. I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.
I hope this did not take place in California.
