Answer:
8 complete stacks
Step-by-step explanation:
Total magazine = 60
Total books = 42
Each stack will have 7 magazines and 4 books.
Each stack = 7 magazines + 4 books
How many complete stacks of 7 magazines and 4 books can Ms. Martin make?
Number of stack of 7 magazines possible = total magazines / magazines per stack
= 60/7
= 8 4/7
Complete stacks with 7 magazines = 8
Number of stack of 4 books possible = total books / books per stack
= 42/4
= 10 1/2
Complete stacks with 4 books = 10
If 7 magazines on each stacks can make 8 complete stacks
Then, 4 books on each stack can make 8 complete stacks
Note: after 8 stacks using 7 magazines each, magazines will not be available to complete other stacks
Answer: C
Step-by-step explanation:
First, simplify the inequality:
x - 2 ≤ 1 add 2 to both sides
x ≤ 3
If x is less than or equal to 3, the graph should be decreasing, starting from 3. (C)
<h3>
Answer: 5/6</h3>
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Work Shown:
- A = number who passed test, and did the hw
- B = number who passed test, but didn't do the hw
- C = number who failed test, but did the hw
- D = number who failed test, and didn't do the hw
With a class total of 19, we know that A+B+C+D = 19.
12 students passed the test, which leaves 19-12 = 7 people who failed the test.
Of these 7 people who failed the test, 4 of them didn't do the hw. This leads to D = 4.
Note how C+D = 7 becomes C+4 = 7 and it solves to C = 3.
Since 13 people did the hw, we can say A+C = 13. Plug in that value of C we found earlier, to find that A = 10.
Lastly, solving A+B = 12 leads to B = 2.
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To summarize what we found so far:
Now onto the question your teacher is asking: "What is the probability that a student completed the homework given that they passed the test?"
The key phrase here is "given that they passed the test". Because of this phrase, we'll ignore anyone who didn't pass. We'll focus solely on the 12 students who passed. Of those 12 who passed, we found that A = 10 people did the hw.
Therefore, the probability of picking someone who did the hw, given the passed the test, is 10/12 = 5/6
Answer: 
Step-by-step explanation:
For this exercise you need to use the folllowing formula for calculate the Surface area of a Rectangular prism:
Where "l" is the length, "w" is the width and "h" is the height of the prism.
In this case you can identify that:
Therefore, substituting values, you get that the surface area of the shoe box is:
The 20% of this surface area is:
Since she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap, you get that total amount of square inches of gift wrap that she needs is:
