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PilotLPTM [1.2K]
3 years ago
15

Each basket at the farm stand holds 3 pounds of potatoes or 6 pounds of tomatoes. If there are 21 pounds of potatoes and 6 pound

s of tomatoes, how many baskets are needed?
Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0

Answer: 8 baskets are needed.

Step-by-step explanation:

You have 6 pounds of tomatoes and 1 basket holds 6 pounds of tomatoes.

You have 21 pounds of potatoes and 1 basket holds 3 pounds of potatoes.

21/3 = 7

7 + 1 = 8

zavuch27 [327]3 years ago
3 0

Answer:

<u><em>8 stands</em></u>

Step-by-step explanation:

<u><em>Potatoe stands can hold 3 lb</em></u>

<u><em>Tomato stands can hold 6 lb</em></u>

<u><em>So there are 21 pounds of potatoes and 6 pounds of tomatos</em></u>

<u><em>we only need 1 stand for the tomatos (1 stand can hold 6 pounds of tomatoes)</em></u>

<u><em>to find how many stands we need for the potatoes we can divide</em></u>

<u><em>21 / 3 = 7</em></u>

<u><em>so in conclusion we need 7 stands for potatoes and 1 stand for the tomatos</em></u>

<u><em>8 stands in all</em></u>

<u><em /></u>

<h2><u><em>Hope This Helps! ;) </em></u></h2>

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<h3>Answer: Choice B</h3>

The set notation includes all values from -5 to 0, but the domain only includes the integer values

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==========================================================

Further explanation:

Let's go through the answer choices one by one

  • A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that -5 \le x \le 0 is the correct order as well.
  • B. This is true. A value like x = -1.2 is in the set \left\{x| -5 \le x \le 0\right\} since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write \left\{x| x\in\mathbb{Z}, \ -5 \le x \le 0\right\}. The portion x \in \mathbb{Z} means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers".
  • C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
  • D. This is false. Writing -5 \ge x \ge 0 would not make any sense. This is because that compound inequality breaks down into -5 \ge x \ \text{ and } \ x \ge 0. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
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