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nasty-shy [4]
2 years ago
6

you are in a room with other students and are asked to get in groups of 3. when finished, there are 21 groups of 3. how many stu

dents are in the room?
Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
5 0
63 because you multiply the numbers
Nataliya [291]2 years ago
4 0

Answer:

63

Step-by-step explanation:

Total groups: 21

number of students in each group: 3

total = 21 *3 =63

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Which of the following is not a Pythagorean triple?
Ierofanga [76]

Answer:

  (7, 24, 26)

Step-by-step explanation:

A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.

_____

<em>Additional comment</em>

For an odd integer n, a triple can be formed as ...

  (n, (n²-1)/2, (n²+1)/2)

That is, the following will be Pythagorean triples.

  • (3, 4, 5)
  • (5, 12, 13)
  • (7, 24, 25)
  • (9, 40, 41)
  • (11, 60, 61)

Another series involves even numbers and numbers separated by 2:

  (2n, n²-1, n²+1)

  • (8, 15, 17)
  • (12, 35, 37)
  • (16, 63, 65)

In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.

It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.

8 0
2 years ago
The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?
IrinaK [193]

Answer:

h=12ft

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

  • Volume = length × width × height , V=l*w*h

With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

l=6ft

w=9ft

h= ?

  • We don't know the height, but that's just fine. We will plug in all our values and isolate h.

V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h

5 0
3 years ago
1. Yvonne closes her eyes and picks a candy from the bag, hoping for a blueberry. What are the chances she will pick a blueberry
elixir [45]

how many candy in the bag

5 0
3 years ago
It was -5Cin Copenhagen and -12C in Oslo. Which city was colder?
aleksandr82 [10.1K]
-12°C is colder than -5°C.
7 0
2 years ago
Solve the Following Inequality Select the possible range of solution to make the Statement True.
Bas_tet [7]

Answer:

4, 5, 6

Step-by-step explanation:

- 6m < -24

-m < -4

m > 4

m has to be greater than 4

6 0
3 years ago
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