There are 23 sharks and 7 octopi in the aquarium
- Let the number of sharks in the aquarium be x
- Let the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
- x + y = 30 ....................... 1
If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
- 5x + 8y = 171 ................ 2
From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
Learn more on simultaneous equation here: brainly.com/question/148035
9514 1404 393
Answer:
- airplane: 225 mph
- wind: 45 mph
Step-by-step explanation:
The average speed with the wind is (540 mi)/(2 h) = 270 mi/h.
The average speed against the wind is (540 mi)/(3 h) = 180 mi/h.
Let a and w represent the speeds of the airplane and wind, respectively.
a + w = 270 . . . . speed with the wind
a - w = 180 . . . . speed against the wind
2a = 450 . . . . . . sum of the two equations
a = 225 . . . . . . divide by 2
w = a -180 = 45
The speed of the airplane is 225 miles per hour; the speed of the wind is 45 miles per hour.
Answer:
Step-by-step explanation:
let it's breadth be x
area of rectabgle=l*b
259=18.5*b
259/18.5=b
14=b
perimeter of rectangle=2(l+b)
=2(18.5+14)
=2*32.5
=65 cm
Plane averaged 88mph with the wind and 44 against the wind. the average of these two averages is 66 mph. plane speed in still air is 66 and the wind speed was 22 (88-22=66 and 44+22=66)
The answer and workings are in the document below. Please open it up in a new window to see it in full.
