Answer:
a. There are 48 angelfish.
b. There are 36 goldfish.
Step-by-step explanation:
the ration of clownfish to angelfish is 5:4 and there are 60 clownfish.
60:? 5x=60 x=12 12(4)=48
60:48 there are 48 angelfish
the ration of angelfish to goldfish is 4:3 and know we know there are 48 angelfish
48:? 4x=48 x=12 12(3)=36
48:36 there are 36 goldfish
![\huge \bf༆ Answer ༄](https://tex.z-dn.net/?f=%5Chuge%20%5Cbf%E0%BC%86%20Answer%20%E0%BC%84)
Let the capacity of bus be x students
And van be y students, now ;
From the given statements we get two equations ~
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:2x + 10y = 260 \: \: \: \: \: (1)](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A2x%20%2B%2010y%20%3D%20260%20%5C%3A%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%5C%3A%20%20%281%29)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:13x + 5y = 670 \: \: \: \: \: (2)](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A13x%20%2B%205y%20%3D%20670%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%282%29)
multiply the equation (2) with 2 [ it won't change the values ]
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:2x + 10y = 260 \: \: \: \: \: \: \: \: \: (1)](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A2x%20%2B%2010y%20%3D%20260%20%5C%3A%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%281%29)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:26x + 10y = 1340 \: \: \: \: \: (3)](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A26x%20%2B%2010y%20%3D%201340%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%283%29)
Now, deduct equation (1) from equation (3)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:26x + 10y - 2x - 10y = 1340 - 260](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A26x%20%2B%2010y%20-%202x%20-%2010y%20%3D%201340%20-%20260)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:24x = 1080](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A24x%20%3D%201080)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x = 1080 \div 24](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3Ax%20%3D%201080%20%5Cdiv%2024)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x = 45](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3Ax%20%3D%2045)
Therefore each bus can carry (x) = 45 students
Now, plug the value of x in equation (1) to find y ~
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:2x + 10y = 260](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A2x%20%2B%2010y%20%3D%20260)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:(2 \times 45) + 10y = 260](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A%282%20%5Ctimes%2045%29%20%2B%2010y%20%3D%20260)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:90 + 10y = 260](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A90%20%2B%2010y%20%3D%20260)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:10y = 260 - 90](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A10y%20%3D%20260%20-%2090)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:10y = 170](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3A10y%20%3D%20170)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:y = 170 \div 10](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3Ay%20%3D%20170%20%5Cdiv%2010)
![{ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:y = 17](https://tex.z-dn.net/?f=%7B%20%5Cqquad%7B%20%5Csf%7B%20%5Cdashrightarrow%7D%7D%7D%20%20%5C%3A%20%20%5C%3A%20%5Csf%20%5C%3Ay%20%3D%2017)
Hence, each van can carry (y) = 17 students in total.
Answer: The slope of the line is 2.
Step-by-step explanation:
Slope = change in y/change in x
Slope = (8-4)/(4-2)
Slope = (4)/(2)
Slope = 2
X+5 = x^2 - x + 2
0 = x^2 -2x - 3
0 = (x-3)(x+1)
x = -1,3
y = -1 + 5 OR y = 3+5
y = 4 OR y = 8
y = 4,8
So we have two ordered pairs, (-1,4) and (3,8).
Hope that helped!
can you mark my answer as brainliest btw?
The answer to your question is a. TRUE