Answer:
Step-by-step explanation:
563 people / 15 classes= 37 8/15. They should offer 38 classes.
2146 questions in 45 weeks.
2146/45= 47 31/45. round to 48 questions a week.
I would choose the first one. Even though the 2000 is an underestimate, the 50 weeks is overestimate , when divided it comes out to 50 questions a week which is closer to the 48 it actually is. I'd rather write too many questions then not enough.
The general equation of a hyperbola with a horizontal transverse axis is defined as:
x²/a² - y²/b² = 1
Solving for b², we use the formula: a² + b² = c²
b² = 12² - 9² = 63
Equation of our hyperbola will be:
x²/81 - y²/63 = 1
Answer: 260 downloads of the standard version were there.
Step-by-step explanation:
Let x represent the number of downloads of the standard version.
Let y represent the number of downloads of the high-quality version.
Yesterday, the high-quality version downloaded four times as often as the standard version. It means that
y = 4x
The size of the standard version is 2.9 megabytes (MB). the size of the high-quality version is 4.6 MB. the total size downloaded for the two versions was 5538 MB. It means that
2.9x + 4.6y = 5538- - - - - - - - - - - -1
Substituting y = 4x into equation 1, it becomes
2.9x + 4.6 × 4x = 5538
2.9x + 18.4x = 5538
21.3x = 5538
x = 5538/21.3
x = 260
