Answer:
The width is 50 yards and the length is 141 yards.
Step-by-step explanation:
Let's call: L the length of the field and W the width of the field.
From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:
2L + 2W = 382
Because the perimeter of a rectangle is the sum of two times the length with two times the width.
Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:
L = 3W - 9
So, replacing this last equation on the first one and solving for W, we get:
2L + 2W = 382
2(3W - 9) + 2W = 382
6W -18 +2W = 382
8W - 18 = 382
8W = 382 + 18
8W = 400
W = 400/8
W = 50
Replacing W by 50 on the following equation, we get:
L = 3W - 9
L = 3(50) - 9
L = 141
So, the width of the rectangular field is 50 yards and the length is 141 yards.
Answer:
Speed of plane in still air: 490 mile/hour
speed of wind: 70 mile/hour
Step-by-step explanation:
still speed = x wind speed = w
with wind: speed = still + wind
(x+w) * 3 = 1680 ...a
against wind: speed = still - wind
(x-w) * 4 = 1680 ...b
b-a ... 4x-4w-3x-3w = 0
x-7w = 0
x = 7w
substitution: (7w+w)*3 = 1680 8w = 560 wind speed (w) = 70
still speed (x) = 7w = 490 mile/hour
Answer:
What are the dementions? 9 and 2?
That would be 9*3.14*4 = 133.04
~ 133.04 units cubed
Step-by-step explanation:
The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars
<em><u>Solution:</u></em>
Given that,
Cost for reclining seat = $ 197
Cost for twin sharing room = $ 490
We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms
<em><u>Cost for reclining room when "x" passengers booked is:</u></em>
Cost for reclining room = $ 197x
<em><u>Cost when One fifths y passengers booked twin-sharing rooms</u></em>
Cost for twin sharing room = 
Cost for twin sharing room = 98y
<em><u>Total cost is given as:</u></em>
Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers
Thus total cost is (197x + 98y) dollars
