The value of b is -6.
Explanation:
The expression is 
To determine the value of b, we shall solve the expression.
Applying exponent rule,
, we get,

Applying exponent rule,
, we have,

The expression is of the form,
then 
Applying this rule, we get,

Dividing both sides by 4, we have,

Hence, the value of b is -6.
The answer in the simplest form as a mixed number is 6 1/3
Answer:
No, because their respective prices are $0.75 and $2.25
Step-by-step explanation:
Let's assume that the price of each pretzel is x and the price of each soda is y
3x + 4y = 11.25_____ equation 1
5x + 2y = 8.25_____ equation 2
Multiply equation 2 by the figure 2 so as to have both equation sharing the same coefficient of y
10x + 4y = 16.5____ equation 1
3x + 4y = 11.25____ equation 2
Now subtract equation 2 from 1
7x = 5.25
X = 5.25/7
X = 0.75
Now substitute x = 0.75 in equation 1
10x + 4y = 16.5
10(0.75) + 4y = 16.5
7.5 + 4y = 16.5
4y = 16.5 - 7.5
4y = 9
Y = 2.25
Therefore,the cost of each pretzel is $0.75 while that of soda is $2.25
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!