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
Answer:
f(x) = 
Step-by-step explanation:
First we identify the Vertical Asymptote. Which is at x = 2
The function has a VA only at the point where the denominator gives 0, so because we know x = 2 is the VA, the denominator will be x - 2.
Then we identify the Horizontal Asymptote, which is the behavior of the function for very large 'x', or the horizontal line of the graph on the y - axis. Which is at y = 1. So our function will go to 1, as x grows incredibly large.
But since our denominator is x - 2, the top remains 1, but we should add a 1 to the function so it really has a HA at y = 1.
f(x) =
Answer:
H = 58, I = 71, J = 51
Step-by-step explanation:
Set all angles equal to 180
3x - 2 + 4x - 9 + 3x - 9 = 180
Then combine like terms
10x - 20 = 180
+ 20 + 20
10x = 200
/10 /10
x = 20
Then plug in for each angle
3 (20) - 2 = 58
4 (20) - 9 = 71
3 (20) - 9 = 51
Y = -5
work:
y = |5| - 10
y = 5 - 10
y = -5
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
