Answer:
36 minutes
2 rounds for Priya
3 rounds for Ravish
Step-by-step explanation:
The answer is the LCM (least common multiple) of 12 and 18.
12 = 2^2 x 3
18 = 3^2 x 2
=>LCM of 12 and 18 = 2^2 x 3^2 = 4 x 9 = 36
=> After 36 minutes they meet again at the starting point
=> At that time, Priya has completed: 36/18 = 2 rounds
=> At that time, Ravish has completed: 36/12 = 3 rounds
Answer:
a rotation 90˚ clockwise and then a reflection across the y-axis
Step-by-step explanation:
I'm doing the test right now
Answer: the x intercept represents the maximum number of sandwiches that can be purchased bc no drinks would be purchased. The y intercept represents how many drinks could be purchased if he didn’t buy any sandwiches
Step-by-step explanation:
Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
The central angle of a hexagon is 60°. Dividing it by two will give us 30°. The side opposite to 30° is 2 inches, multiplied by 2 is 4 inches. Thus, each side of the hexagon is 4 inches. Also, the apothem is 2sqrt(3). The area of the figure is calculated through the equation,
A = 0.5aP
where a is apothem and P is perimeter
Substituting,
A = 0.5(2sqrt3)(4 x 6) = 24sqrt3
The answer is approximately 41.57 in².