A. This is correct. When you transfer n to the other side, that would be the reciprocal power of a.
b. This is incorrect, because this contradicts with choice a.
c. This is correct. When a number is raised to a "1/n" fraction, that is equivalent to the nth root of the number.
d. This is incorrect, because it is not equivalent to the given equation.
<em>Thus, the answers are A and C.</em>
Answer:
<h3>y = -34/5</h3>
Step-by-step explanation:
![\dfrac{4y+5}{3}=\dfrac{y-8}{2}\qquad\text{multiply both sides by }\ 2\cdot3=6\\\\6\!\!\!\!\diagup^2\cdot\dfrac{4y+5}{\not3_1}=6\!\!\!\!\diagup^3\cdot\dfrac{y-8}{\not2_1}\\\\2(4y+5)=3(y-8)\qquad\text{use distributive property}\\\\(2)(4y)+(2)(5)=(3)(y)+(3)(-8)\\\\8y+10=3y-24\qquad\text{subtract 10 from both sides}\\\\8y=3y-34\qquad\text{subtract 3y from both sides}\\\\5y=-34\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{34}{5}}](https://tex.z-dn.net/?f=%5Cdfrac%7B4y%2B5%7D%7B3%7D%3D%5Cdfrac%7By-8%7D%7B2%7D%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%20%7D%5C%202%5Ccdot3%3D6%5C%5C%5C%5C6%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E2%5Ccdot%5Cdfrac%7B4y%2B5%7D%7B%5Cnot3_1%7D%3D6%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E3%5Ccdot%5Cdfrac%7By-8%7D%7B%5Cnot2_1%7D%5C%5C%5C%5C2%284y%2B5%29%3D3%28y-8%29%5Cqquad%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5C%282%29%284y%29%2B%282%29%285%29%3D%283%29%28y%29%2B%283%29%28-8%29%5C%5C%5C%5C8y%2B10%3D3y-24%5Cqquad%5Ctext%7Bsubtract%2010%20from%20both%20sides%7D%5C%5C%5C%5C8y%3D3y-34%5Cqquad%5Ctext%7Bsubtract%203y%20from%20both%20sides%7D%5C%5C%5C%5C5y%3D-34%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%205%7D%5C%5C%5C%5C%5Cboxed%7By%3D-%5Cdfrac%7B34%7D%7B5%7D%7D)
We know that
if <span>Allison can complete a sales route by herself in 6 hours
then
100% of the sales route---------------> 6 hours
x%--------------------------> 1 hour
x=100/6-----> x=16.67%/hour
Allison </span><span>working with an associate, she completes the route in 4 hours
</span>then
100%------------------> 4 hours
x%----------------> 1 hour
x=100/4-----> x=25%
An associate in 1 hour complete-------> 25%-16.67%----> 8.33%
then
an associate complete in 1 hour--------> 8.33%
x hour--------------------------> 100%
x=100/8.33-----> x=12 hours
the answer is
12 hours
Answer:
3 out of 51
Step-by-step explanation:
If he removed one number two card from the deck then there should be three left since there are 4 of each number card in a deck so therefore there should be 51 cards in the deck but only three number two cards left in the deck