Answer:
Step-by-step explanation:
Let f represent the number of first-class tickets that Sarah bought. Then she bought (16-f) coach tickets. Her total spending for airfare was ...
1140f +160(16-f) = 9420
980f +2560 = 9420 . . . . simplify
980f = 6860 . . . . . . . . subtract 2560
f = 7 . . . . . . . . . . . . . divide by 980; number of first-class tickets
(16-f) = 9 . . . . . coach tickets
Sarah bought 7 first-class tickets and 9 coach tickets.
Answer:
Step-by-step explanation:
∵ The volume of the pyramid = 1/3 base area × height
∵ The base is equilateral Δ with side length 4
∴ The area of the bast = 1/4 × 4² × √3 = 4√3 units²
To get the height of the pyramid draw it from the vertex of the top of the pyramid ⊥ to the base on the centro-id of the base which divides the height of the triangle two ratio 2:1 from the vertex of the triangle
∵ The height of the base = √(4² - 2²) =√12 = 2√3
∴ 2/3 the height = 4√3/3 ⇒ (2:1 means 2/3 from the height)
∴ The height of the pyramid = √[4² - (4√3/3)²] = √[16 - 48/9]
∴ h = 4√2/√3 (4√6/3 in its simplest form)
∴ V = 1/3 × 4√3 × 4√2/√3 = 16√2/3 units³
∴ 
Expanded Notation:
A. 654.362 = (6x100) + (5x10) + (4x1) + (3x0.1) + (6x0.01) + (2x0.001)
B. 125.384 = (1x100) + (2x10) + (5x1) + (3x0.1) + (4x0.01) + (8x0.001)
Answer:
Frog 1 - 8 feet 3 inches =
8 feet x (1 yard/3 feet) = 2.667 Yards
3 inches x (1 foot /12 inches) x ( 1 yard / 3 feet) = 0.83 yards
So Frog 1 = 2.75 Yard
Frog 2 - 2 yards 36 inches
36 inches x (1 foot /12 inches) x (1 yard / 3 feet) = 1 Yard
So Frog 2 = 3 yards
Frog 2 won
It won by 3 - 2.75 = 0.25 Yards
0.25 yards x (3 feet / 1 yard) = 0.75 feet
0.75 feet x (12 inches /1 foot) = 9 inches
<u>So Frog 2 won by 9 inches</u>
