# Tutor profile: Anita C.

## Questions

### Subject: Mandarin

我___朋友吃飯吃___很快。 Fill in the blanks with the answers below. A) 的, 地 B) 地, 得 C) 的, 得 D) 得, 的

The first phrase 我___朋友 indicates possession. It does not follow the verb - 得 - adjective form or the adjective - 地 - verb form, but it follows the noun - 的 - noun form. Therefore, the first blank is 的. The second phrase 吃___很快 follows the verb - 得 - adjective form. Therefore, the second blank is 得. The answer is C) 的, 得. Answer: C

### Subject: Pre-Algebra

If there are two lines y = 3x + 5 and y = 2x - 1, what is their point of intersection?

If the line y = 3x + 5 intersects with y = 2x - 1, then we must set y equal to each other to find the point of intersection (x, y). 3x + 5 = 2x - 1 x = -6 Now plug x back into either equation. y = 3(-6) + 5 y = -13 Answer: The point of intersection is (-6, -13). Check: Plug the point of intersection back into both equations. y = 3x + 5 -13 = 3(-6) + 5 -13 = -18 + 5 -13 = -13 y = 2x - 1 -13 = 2(-6) - 1 -13 = -12 - 1 -13 = -13, our answer is correct!

### Subject: Basic Math

If Car A is going 60 km per hour and has already been traveling for 1 hour, how long will Car B take to catch Car A if Car B starts now at 80 km per hour?

If Car A is going 60 km per hour and has already been traveling for 1 hour, Car A has already traveled 60 km. Then, let x be the time it takes in hours for Car B to catch Car A. Using distance = speed * time, the total distance that Car A would be 60 + 60x, while Car B would travel 80x. The resulting equation would be 60 + 60x = 80x because both cars would have equal distances when they meet. 60 + 60x = 80x 60 = 20x x = 3 Answer: It would take 3 hours for Car B to catch Car A. Check: We can check this by plugging x=3 back into the equation. Car A: 60 + 60x = 60 + 60(3) = 240 Car B: 80x = 80(3) = 240 240 = 240, our answer is correct!

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