189 tickets were purchased on Saturday. The ratio of children's tickets to adult tickets is 8:1, indicating that 8 times as many children's tickets were sold compared to adult tickets. Let c represent the number of children's tickets and a the number of adult tickets. Therefore, 8a = a + 147. By subtracting a from both sides, we find 7a = 147. Upon dividing both sides by 7, we find a = 21 adult tickets. By multiplying the number of adult tickets by 8, we discover that 21 * 8 = 168 children's tickets. Adding these together gives a total of 168 + 21 = 189 tickets sold on Saturday.
No. Allocate 2/3 of the space to Grano and 1/3 to Wheatie. This results in approximately 57% for Wheatie and 43% for Grano—meaning 60(.57)=34.2 ft² for Wheatie and 60(.43)=25.8 ft² for Grano. Therefore, there would be about 85.5 boxes of Wheatie and 129 boxes of Grano, leading to a total profit of 129(1)+85(1.35)=$243.75. The best choice would be to place 200 boxes of Grano and 50 boxes of Wheaties on the shelf. Allocating 40 ft² to Granos (200(.2)) and 20 ft² to Wheaties (50(.4)) means that 40/60=2/3=66.6% of the space would be for Granos, and 20/60=1/3=33.3% would be for Wheaties. The total profit would be 200(1)+50(1.35)=$267.5.
Answer:
El valor de x es 4.
Explicación paso a paso:
Se indica que el triángulo MRN surge al doblar un triángulo equilátero por la mitad.
Esto sugiere que el triángulo equilátero original es MNO y que NR actúa como bisectriz perpendicular (una línea que divide un segmento en dos partes iguales formando un ángulo recto).
La longitud del lado del triángulo es
NO = NS + SM = 6 + 2 = 8
Dado que un triángulo equilátero tiene todos sus lados iguales y NR es la bisectriz perpendicular, se tiene que
RM = MO/2 = 8/2 = 4
El valor de x es 4.
From a distance of 300 feet, a car approaches you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds can be described by the equation d=|300−48t|. At what moments does the car find itself 60 feet away from you?
Events A and B are termed independent when
if not, events A and B are classified as dependent.
The events A, B and A∩B are:
- A - Jane plans to attend a ballgame on Monday;
- B - Kate intends to go to a ballgame on Monday;
- A∩B - Both Kate and Jane will be at the ballgame on Monday.
Answer: events A and B are dependent
