Answer:
The cost of her dinner without tax or tip is <u>$22</u>.
Step-by-step explanation:
Given:
Anna enjoys having dinner at a restaurant in a town where the sales tax on meals is 10%.
She leaves 15% tip before the sales tax is applied, and the tax is calculated on the pre-tip amount.
She spends a total of $27.50 on her dinner.
Now, to find the cost of her dinner without tax or tip.
Let the cost of dinner without tax or tip be 
So, the tax is:




And, the tip is:




<u><em>As given, she spends a total $27.50 on her dinner.</em></u>
Now, to get the cost of her dinner without tax or tip:



<em>Dividing both sides by 1.25 we get:</em>


Therefore, the cost of her dinner without tax or tip is <u>$22</u>.
Answer:
0.027
Step-by-step explanation:
The slope can be found by the "rise over run", that is, is the change in variable y divided by the change in variable x.
In this question,

Substituting the values:

Answer: 0.06 feet per feet of highway.
Answer:
-4y/3
Step-by-step explanation:
If we have -4xy/3x, we just cancel the x since it is in the numerator and denominator. That leaves us with just -4y/3
Answer:
(6, -
)
Step-by-step explanation:
Given the 2 equations
3x - 4y = 20 → (1)
4x - 2y = 25 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the y- term
- 8x + 4y = - 50 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 30 ( divide both sides by - 5 )
x = 6
Substitute x = 6 into either of the 2 equations and evaluate for y
Substituting into (1)
3(6) - 4y = 20
18 - 4y = 20 ( subtract 18 from both sides )
- 4y = 2 ( divide both sides by - 4 )
y =
= - 
Solution is (6, -
)