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vitfil [10]
3 years ago
5

Find the 61st term of the arithmetic sequence -12,-28,-44...

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

-1.4152338

Step-by-step explanation:

Formula

axr raise power n-1

Common ratio is T2/T1

-28/-12 is 2.3

-28(2.3) raise power 60

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The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo
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Some parts are missing in the queston. Find attached the picture with the complete question

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Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

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  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

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3 years ago
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3 years ago
What is the value of this expression when b=5?<br><br> 6(2b-4)
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To find the height of a cube you simply need to know the length of the sides of a cube.

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All sides of a cube are equal because it is made up of squares. If a cube has a length of 3 cm, then it will also have a height of 3 cm.

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