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: 1 hour
Step-by-step explanation:
Let the distance they walked be 
in time 
and the distance they walked be 
in time 
,then
Walking speed=
Riding speed=
Also the total time taken=3 hours
∴
...(1)
Since the total distance= 20 km
∴![d_1+d_2=20\\\Rightarrow4t_1+12t_2=20\\\Rightarrow4t_1+12(3-t_1)=20..............[\text{from (1)}]\\\Rightarrow4t_1+36-12t_1=20\\\Rightarrow-8t_1=-8\\\Rightarrow\ t_1=1](https://tex.z-dn.net/?f=d_1%2Bd_2%3D20%5C%5C%5CRightarrow4t_1%2B12t_2%3D20%5C%5C%5CRightarrow4t_1%2B12%283-t_1%29%3D20..............%5B%5Ctext%7Bfrom%20%281%29%7D%5D%5C%5C%5CRightarrow4t_1%2B36-12t_1%3D20%5C%5C%5CRightarrow-8t_1%3D-8%5C%5C%5CRightarrow%5C%20t_1%3D1)
Thus, the they spent 1 hour time in walking.
If n is used as the initial amount of liquid in both A and B:
4(n-120) = n+120
4n-480 = n+120
3n = 600
n = 200
Each container originally held 200ml. Container A now has 80ml and Container B has 320ml
Answer: The answer is 4.63✨
Step-by-step explanation: You have to round to 4.625 to the nearest hundredth consider the thousandths’ value of 4.625, which is 5 and equal or more than 5. Therefore, the hundredths value of 4.625 increases by 1 to 3.
4.625 rounded to the nearest hundredth = 4.63
Ok, so what happend was 4 was added to every x, the whole thing was multiplied by -1 and -2 was added to the whole function
so
adding 4 to every x shifts the graph to the left 4 units
multiplying the whole function by -1 reflects it over the x axis
adding -2 to the whole function moves it down2 units
so that would be the first option
