Answer:
The number of cats at the shelter on Friday was 20.
Step-by-step explanation:
Hi there!
Let "x" be the number of cats and "y" the number of dogs.
The shelter spends $2 per cat and $7 per dog. If the total expenses on Friday was $82, then, two times the number of cats plus seven times the number of dogs is equal to 82:
2x + 7y = 82
We also know that the total number of cats and dogs was 26. Then, the number of cats plus the number of dogs is equal to 26:
x + y = 26
Let´s solve this equation for y and replace it in the first equation
y = 26 - x
Then:
2x + 7(26 - x) = 82
Apply distributive property:
2x + 182 - 7x = 82
Subtract 182 to both sides of the equation:
-5x = -100
divide both sides of the equation by -5
x = 20
The number of cats at the shelter on Friday was 20.
Have a nice day!
Answer:
11
Step-by-step explanation:
so we just make a system of equations:
x+y=36
say that x is the larger and y is the smaller
x-3=2y
so we can combine the equations and solve for x and y
re-arrange x-3=2y to be x=2y+3
x+y=36
x=2y+3
insert the value for x into x into x+y=36
2y+3+y=36
3y+3=36
y=11
now insert that back into x+y=36
11+x=36
x=25
Out of the two numbers x and y, 11 is the smaller number
Hope that helps :)
Step 1: Group this into two groups:
When you do that, be sure to group the "–" into the group with the 9 and make sure there's "+" between the groups.
Step 2: Factor out the GCF from both individual groups:
Step 3: Notice both groups have that (h+2)? That's a new GCF between the two groups, so factor that out:
Step 4: That 
piece can be factored further, since it's a difference of squares:
Now it's factored.
A linear equation is RISE over RUN (y/x) so the starting point would be -6 and from there its a straight line across
Answer:
stop rushing brat
Step-by-step explanation:
