Not sure about this but, is it a line?
Lets plug in the answer choices and see which one works
A. x = -6
| -6 | < 3
6 < 3
False, so A is not the answer
B. x = -5
| -5 | < 3
5 < 3
False, so B isn't the answer
C. x = -1
| -1 | < 3
1 < 3
True, so C is the answer.
But lets just check D to make sure C is the answer.
D. x = 2
| 2 | < 3
2 < 3
False, so D isn't the answer either.
C is your answer :)
Given:Price of one taco = x; price of 2 tacos = 2xPrice of salad = $2.50Sales tax = 8% of the combined price of two tacos and a salad, namely .08(2x + 2.50)Tip = constant fee = $3.00Total bill = $13.80 Therefore the equation becomes
2x + 2.50 + .08(2x + 2.50) + 3 = 13.80 Solutions: 2x + 2.50 + .16x + .20 + 3 = 13.80 (using the distributive property to multiply 2x and 2.5 by .08).2.16x + 2.70 + 3 = 13.80 (combining like terms)2.16x + 5.70 = 13.80 (combining like terms)2.16x + 5.70 = 13.80 - 5.70 (subtraction property of equality)2.16x = 8.10x = 8.10/2.16 = 3.75 (division property of equality)
The cost of a single taco is $3.75
Answer:
D, E, C, A, and B.
Step-by-step explanation:
We wish to solve the equation:
Let’s go through this step-by-step.
1) Distributive Property:
2) Commutative Property of Addition (we rearrange them):
3) Combined Like Terms:
4) Addition Property of Equality* (we add <em>-1</em> to both sides):
5) Multiplication Property of Equality (we multiply both sides by -1):
So, our sequence is:
D, E, C, A, and B.
*A better choice would’ve been the Subtraction Property of Equality, but both are equally fine.
