Answer:
The cost of 1 taco = $4
The cost of 1 quesadilla = $7.50
Step-by-step explanation:
Let the cost of tacos be x and the cost of quesadillas be y.
<h3><u>Given condition:</u></h3>
x + 3y = 26.50 ------------------(1)
3x + y = 19.50 -------------------(2)
Multiply Eq. (2) by 3
3(3x + y) = 19.50 * 3
9x + 3y = 58.5 -----------------(3)
Subtract Eq. (3) from (1)
x + 3y - 9x - 3y = 26.50 - 58.50
x - 9x = -32
-8x = -32
8x = 32
Divide 8 to both sides
x = $4
Put x = 4 in (1)
4 + 3y = 26.50
Subtract 4 to both sides
3y = 26.50 - 4
3y = 22.50
Divide 3 to both sides
y = $7.50
So,
The cost of 1 taco = $4
The cost of 1 quesadilla = $7.50
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Answers:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
1) 
Rewriting the expression:

Multiplying the exponents:

Simplifying:

2) 
Rewriting the expression:

Multiplying the exponents:

Simplifying:

3) 
Rewriting the expression:

Since
:

4) 
Multiplying numerator and denominator by
:

Simplifying:

5) 
Rewriting the expression:

Simplifying:

Since we do not want the square root in the denominator, we can multiply numerator and denominator by
:

Finally:

Answer:
slope =( y2 - y1 ) ÷ (x2 - x1)
Step-by-step explanation:
p1 ( -1 , -2)
p2 (4 , 2 )
slope =

2 - 4 * 5p + 1
Simplified, this equation looks like this:
4 * 5p = 20p
2 - 1 = 1
20p + 1 is the simplified form of this equation.