Answer:
<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>
Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality

Where
represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

Solving for 

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.
Answer:
A red 5 is chosen from the deck. The card is put back into the deck and the a red card is chosen.
Step-by-step explanation:
An independent event is one whose outcome is not dependent on any other event. There are two types of cards in the deck. If a red card is selected it will be from the series 1 - 20, if the card is put back into deck and then again a red card is selected it will be again from the series 1 - 20. This is an independent event since its outcome is same irrespective of the events.
Answer:
6
Step-by-step explanation:
If a number and a variable were together in a term, the number would the the coefficient. The coefficient would multiply the variable.
In '6x', the number '6' is the coefficient. '6' would be multiplying 'x'.
The correct answer should be 6.
In order to solve it you have to get x by itself.
1. Simplify. 1/4 + 1/2 + x is also the same as 3/4 + x. So you have 3/4 + x = -3/4.
2. Then you subtract 3/4 on both sides to get x by itself. x = -3/4 - 3/4
3. Simplify. x = -1 1/2 or -1.5 depending on whether you need the answer in a fraction or a decimal.
The correct answer is B: y ≥ 1/3x - 1
(0,0) ⇒ within the shaded area
0 ≥ 1/3(0) - 1
0 ≥ 0 - 1
0 ≥ -1
True
(0, -3) ⇒ not within the shaded area
-3 ≥ 1/3(0) -1
-3 ≥ 0 - 1
-3 ≥ -1
False