Answer:
v = -8
Step-by-step explanation:
First we would have to distribute the 8(-5 - 7v). To do this we would multiply 8 by -5 and 8 by -7v to get 
. After this, we would have to simplify like terms by subtracting 56v from -5v to get 
. We now have to get the variable on one side and to do that, we can add 40 to both sides to get 
. Finally to get the variable alone, we would have to divide both sides by -61 to get 
.
Brainliest would be appreciated!
Ok, it's all pretty much like the "$50 coat is on sale for $35".
<span>If the regular price of the coat is $50 and now it is on sale for $35, then it will cost you $15 less, like this: </span>
<span>$50 - $35 = $15 </span>
<span>You could also say the coat was discounted by $15, or the coat was reduced by $15, or you'll save $15 if you buy that coat ($50 - $15 = 35). </span>
<span>You could also put it in terms of percentages. If the discount is $15, you can figure that $15 is what percent of the regular price, like this: </span>
<span>$15 = X% of $50 </span>
<span>$15 = X% x $50 (divide both sides by 50 to isolate X) </span>
<span>15/50 = X% </span>
<span>.30 = X% (multiply by 100 to convert to a non-decimal) </span>
<span>30% = X </span>
<span>So, you can say all of the following and they all mean the same thing: </span>
<span>1. the $50 coat is on sale for $35 </span>
<span>2. the $50 coat is discounted by $15 </span>
<span>3. the $50 coat is reduced by $15 </span>
<span>4. you'll save $15 if you buy this coat </span>
<span>5. the $50 coat is on sale for 30% off </span>
<span>6. the $50 coat is discounted by 30% </span>
<span>7. you'll save 30% if you buy this coat </span>
<span>8. 30% savings! </span>
<span>9. Save 30%! </span>
<span>So, how does that apply to the $18,000 a year? Ok, if Shelby earns $18,000 this year and then earns $19,500 next year, then she gets an additional $1,500 ($19,500 - $18,000 = $1,500). In the coat problem, everything was discounted, on sale, going down. In this problem, everything is going up, increasing. </span>
<span>You know the dollar increase is $1,500. To figure the percent increase, you need to figure out that $1,500 is what % of $18,000. Remember, it's not the $19,500 that was increased; it was an increase on the $18,000: </span>
<span>$1,500 = X% of $18,000 </span>
<span>1,500/18,000 = X% </span>
<span>.083333 = X% </span>
<span>8.3333% = X </span>
<span>One more: If Shelby get a 10% increase in her salary at the end of one year, that's the same as saying that Shelby gets her salary plus she gets 10% more, like this: </span>
<span>$18,000 + (10% of $18,000) = </span>
<span>$18,000 + $1,800 = </span>
<span>$19,800 end of first year </span>
<span>For the second year, her salary begins at $19,800 and increases 10%, like this: </span>
<span>$19,800 + (10% x $19,800) = </span>
<span>$19,800 + $1,980 = </span>
<span>$21,780 end of second year </span>
<span>You can do it from here.</span>
Answer:
Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.
Step-by-step explanation:
For the given situation let the number of tv sets be x and number of dvd players be y.
Now we have to minimize the cost as it costs $75 to refurbish a tv set and $40 to refurbish a dvd player.
i.e. Minimize z=75x+40y
it gives subject to the constraints
4x+2y≥100......(1)(100 hours each week. It takes 4 hours to refurbish a tv set and 2 hours to refurbish a dvd player.)
x+y≥35.......(2)(weekly sales target is to refurbish at least 35 tv sets or dvd players.)
To plot equation (1) we need to find coordinates of points lying on line (1)
put x=0 gives 2y=100⇒y=50
put y=0 gives 4x=100⇒x=25
So we got points (0,50) and(25,0) for (1)..............(3)
Similarly for equation (2)
put x=0 gives y=35
put y=0 gives x=35
so we got points (0,35) and(35,0) for (2).................(4)
with the help of (3) and (4) we plot the following graph (assume x≥0 and y≥0)
The unbounded feasible region determined by constraints gives the corner points as A(0,50),B(15,20)and C(35,0).
from we get the value of z is minimum at point B (15,20) .
hence we got our optimal solution at B (15,20), where x is the number of tv sets and y is the number of dvd players .therefore Ruhana and her team should refurbish 15 tv sets and 20 dvd players each week to minimize the cost.
The answer would be 1. The commutative postulate for multiplication. Hope this helped! Good luck! :)
