In a circle with area of 120 to 124 sq inches…

In a circle with area of 120 to 124 sq inches, the area of the sector formed by an angle is between 20 and 21 sq inches. What is one possible integer value of the angle?

I came up with a low value of 60 (if area of circle is on the lowest end, 120 sq inches, and area of the sector is also on the low end, 20 inches). If both those areas are on the highest end, then I came up with 60 again. But answer is supposed to be 59 ≤ x ≤ 63. Does this make sense, and if so, can you explain it?

A marine aquarium has a small tank and a large tank, each containing only red and blue fish…

Here’s a problem from Khan Academy’s SAT practice section. Please explain this one for me.

A marine aquarium has a small tank and a large tank, each containing only red and blue fish. In each tank, the ratio of red fish to blue fish is 3 to 4. The ratio of fish in the large tank to fish in the small tank is 46 to 5. What is the ratio of blue fish in the small tank to red fish in the large tank?

During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mm Hg), over the course of 5 hours during the 24-hour time period? (Note: 1,013 mb = 760 mm Hg) Can you help me solve this please? Thank you ❤️

If it’s falling at a constant rate during the period, then we can conclude that it fell (3.4 mb/hr)(5 hr) = 17 mb. Now we just need to convert mb to mm Hg, using the given scale. Solve that for x and you get roughly 12.8. from Tumblr https://ift.tt/2w1cbUe

A bag contains mangoes that are either green or yellow…

Q) A bag contains mangoes that are either green or yellow. The ratio of green mangoes to yellow mangoes in the bag is 3 to 5. When two green mangoes are removed and ten yellow mangoes are added, the ratio becomes 2 to 5. How many green mangoes were originally in the bag?

A new high-tech transportation system is to be built connecting a city at sea level and a suburb 3,500 feet above sea level…

A new high-tech transportation system is to be built connecting a city at sea level and a suburb 3,500 feet above sea level. The maximum allowable grade is 3 percent, which means that the track for the new system can ascend no more than 3 feet for every 100 feet of horizontal length. What is the minimum whole number of feet of track needed for the new system?

A) 113,167 ft
B) 116,615 ft
C) 116,615 ft
D) 116,667 ft
E) 120,167 ft