Answer:
<em> Anna's wand can cast 70 spells</em>
<em></em>
Step-by-step explanation:
Elsa's wand can cast 53 spells
her wand casts 17 fewer cells than her sister Anna's
Amount of spells cast by Anna's wand = ?
We write the question down in the form of an equation
![x - 17 = 53](https://tex.z-dn.net/?f=x%20-%2017%20%3D%2053)
where
is the amount of spells Anna's wand can cast.
we then proceed to solve by collecting like terms to different sides of the equation. We'll have
![x = 53 + 17](https://tex.z-dn.net/?f=x%20%3D%2053%20%2B%2017)
which leaves us with
![x = 70](https://tex.z-dn.net/?f=x%20%3D%2070)
This means that<em> Anna's wand can cast 70 spells.</em>
Simplfy then combine like terms so the anwser Simplified and Evaluated is -17x-19
A change in any one of the underlying factors that determine what quantity people are willing to buy at a given price will cause a shift in demand. Graphically, the new demand curve lies either to the right (an increase) or to the left (a decrease) of the original demand curve.
Answer: C
<u>Step-by-step explanation:</u>
![\dfrac{x+1}{x-5} - \dfrac{x-2}{x+3}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B1%7D%7Bx-5%7D%20-%20%5Cdfrac%7Bx-2%7D%7Bx%2B3%7D)
= ![\dfrac{x+1}{x-5}(\dfrac{x+3}{x+3}) - \dfrac{x-2}{x+3}(\dfrac{x-5}{x-5})](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%2B1%7D%7Bx-5%7D%28%5Cdfrac%7Bx%2B3%7D%7Bx%2B3%7D%29%20-%20%5Cdfrac%7Bx-2%7D%7Bx%2B3%7D%28%5Cdfrac%7Bx-5%7D%7Bx-5%7D%29)
= ![\dfrac{x^{2}+4x+3}{(x-5)(x+3)} - \dfrac{x^{2}-7x+10}{(x-5)(x+3)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E%7B2%7D%2B4x%2B3%7D%7B%28x-5%29%28x%2B3%29%7D%20-%20%5Cdfrac%7Bx%5E%7B2%7D-7x%2B10%7D%7B%28x-5%29%28x%2B3%29%7D)
= ![\dfrac{x^{2}+4x+3-(x^{2}-7x+10)}{(x-5)(x+3)}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E%7B2%7D%2B4x%2B3-%28x%5E%7B2%7D-7x%2B10%29%7D%7B%28x-5%29%28x%2B3%29%7D)
= ![\dfrac{11x-7}{(x-5)(x+3)}](https://tex.z-dn.net/?f=%5Cdfrac%7B11x-7%7D%7B%28x-5%29%28x%2B3%29%7D)