The answer is D) Seventh and eighth grade students at the school preferred an eagle mascot.
This is because both Tiger and Eagle had 40 votes, so it couldn't be A) or B), as they both had the same number of votes. It also couldn't be C) because more fifth and sixth grade students voted for tiger than eagle. It could only be D) as more seventh and eighth grade students DID actually vote for the eagle mascot rather than the tiger mascot.
The answer to the system of equations is x = 3, y = -2 and z = 5.
In order to find this you can use elimination to create two equations with only x and y. First we will add equation one with equation 2 multiplied by 2.
-x + 2y + 2z = 3
6x + 2y - 2z = 4
---------------------
5x + 4y = 7
Then we can add equation 2 with equation 3.
3x + y - z = 2
2x + y + z = 9
------------------
5x + 2y = 11
Now we can use these two equations together to solve for y. It will be easiest if we multiply the second one by -1.
5x + 4y = 7
-5x - 2y = -11
------------------
2y = -4
And then we can solve for y.
2y = -4
y = -2
With that answer we can go back to any equation with just y and x and solve for x.
5x + 4y = 7
5x + 4(-2) = 7
5x - 8 = 7
5x = 15
x = 3
Now we can use x and y in any equation to find z.
2x + y + z = 9
2(3) + (-2) + z = 9
6 - 2 + z = 9
4 + z = 9
z = 5
For these equations, we are going to use the slope formula, as defined below (
is slope and 
and 
are coordinate points):
We can simply "plug in" the coordinates we are given:
Our answers are:
Answer: It is 26.27083333
26.27 if rounded
Answer:
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
Step-by-step explanation:
Let $x be the cost of 1 pound of salmon.
The swordfish costs $0.20 per pound less than the salmon, then $(x-0.20) is the cost of 1 pound of swordfish.
Melissa buys 2.5 pounds of salmon and pays $2.5x for salmon.
Melissa buys 1.25 pounds of swordfish and pays $1.25(x-0.20) for swordfish.
She pays a total of $31.25, then
Solve this equation.
Costs:
1 pound of salmon - $8.40
1 pound of swordfish - $8.20
Combined - $16.60
