decide whether the following situation is looking for the part, the percent, or the whole: 81 of 271 pages in a book
1 answer:
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Answer:
The correct option is B) 12.
Step-by-step explanation:
Consider the provided information.
Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.
As we know: ,
The rate of pump X is
of the water is pumped out of the tank, that means only
is left to be pumped out.
All 3 pumps pumped out the remaining of the water out in 3 hours.
The combined rate of all three pumps is:
Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.
The rate of pump Y =
Let z is the time taken by pump Z, then the rate of pump Z is .
Therefore,
Multiplying both sides by 24 z.
Hence, the correct option is B) 12.
Answer:
Step-by-step explanation:
Parallel lines cut by a transversal are two lines which do not cross intersected by a third line. Because lines such as m and n are parallel, we have angles which are equal to each other.
- Corresponding Angles - angles located in the same position in each intersection. Can be shown by translating or sliding the angle down/up.
- Alternate Interior Angles - angles located inside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
- Alternate Exterior Angles - angles located outside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
- Vertical angles - angles across a vertex from one another. Can be shown by reflection.
The angles shown here are located outside the parallel lines and across the transversal from each other. Therefore we have Alternate Exteroir angles and can set them equal to each other to solve for x.
We check our work and should get equal angles: