Answer:
8 rabbits
22 chickens
Step-by-step explanation:
c = chickens
r = rabbits
heads - c + r = 30
legs - 2c + 4r = 76
We can now use these two equations to create one by isolating the variable (c) in the first equation.
c = 30 - r
2c + 4r = 76
2(30 - r) + 4r = 76
60 - 2r + 4r = 76
2r = 16
r = 8
Now we know that there are 8 rabbits, which means that there has to be 22 chickens in order to have 30 heads.
Answer: False, x=14
Step-by-step explanation:
3(14) = 42
42+2=44
x=14
Answer:
x = -2
y = -5
Step-by-step explanation:
We can solve this algebraically (substitution or elimination) or graphically. I will be using elimination:
Step 1: Add the 2 equations together
-8y = 40
y = -5
Step 2: Plug <em>y </em>into an original equation to find <em>x</em>
-3(-5) + 10x = -5
15 + 10x = -5
10x = -20
x = -2
And we have our final answers!
Answer:
Girl's basketball team has more seniors
Step-by-step explanation:
A varsity boy's basketball team has ratio of seniors to juniors that is 7:4.
Let there are 7x seniors and 4x juniors in boy's basketball team.
ATQ,
7x+4x = 12
11x = 12
x = 12/11
Seniors = 
The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2.
Let there are 7x seniors and 4x juniors in girl's basketball team.
3x+2x = 12
5x = 12
x = 12/5
Seniors = 
As we can see that girl's basketball team has more seniors as compared to the boy's team.