Answer:
x (Falafel) = $5.50
y (Turkey BLT) = $7.50
z (Paninis) = $6.00
Step-by-step explanation:
Step 1: Write out systems of equations
5x + 15y + 20z = 260
8x + 18y + 14z = 263
12x + 16y + 12z = 258
There are multiple ways to solve for this systems of equations. I will use an augmented matrix for this:
Top row: [5 15 20 | 260]
Middle row: [8 18 14 | 263}
Bottom row: [12 16 12 | 258]
We find RREF form of the augmented matrix to find our answers:
Top row: [1 0 0 | 11/2]
Middle row: [0 1 0 | 15/2]
Bottom row: [0 0 1 | 6]
And we have our answer!
Basically I can’t give you the answer as that’s cheating and I’m your teacher r
Answer:
51m
Step-by-step explanation:
For this equation, you want to use pythagoras' theorem (or pythagorean theorem) to work out the hypotenuse (diagonal line)
The formula for this is a²+b²=c², where c is the hypotenuse.
We can sub in the 2 sides for a and b, turning the equation into 24²+45²=c².
Working out the squares gives 576+2025=c², which can be solved to c²=2601.
To get c, we must square root both sides, which results in c=51m.
**This question involves pythagoras' theorem, which you may wish to revise. I'm always happy to help!
1. In each graph, the two lines are parallel to each other.
2. Each set of equations have the same slope.
3. Equations that have the same slope as each other will always be parallel to each other.
Answer:
24501.42 cubic meters
Step-by-step explanation:
Volume of a cylinder
= pi r^2 h
Given diameter = 34
radius r = diameter/2
= 34/2 = 17
So radius r = 17
Height h = 27
Pi = 3.14
Volume = 3.14 x (17)^2 x 27
= 3.14 x 17 x17 x 27
Multiply through
= 24501.42 cubic meters
