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ch4aika [34]
3 years ago
6

What is the perimeter of a square with side length 5 4/5? As a mixed number.

Mathematics
2 answers:
mezya [45]3 years ago
8 0
29/5+29/5+29/5+29/5= 23 1/5
Mariana [72]3 years ago
8 0
The perimeter of a square is P = 4(side length).  Here, P = 4(5 4/5), or
P = 4(29/5).  This is the same as P = 116/5.  You can reduce that to a mixed number by dividing 5 into 116:  P = 23 1/5.
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Solve the system of equations.
Xelga [282]

Answer:

  b.  x=1, y=2, z=3

Step-by-step explanation:

The system of equations ...

  • 3x +2y +z = 10
  • 9x -6y +z = 0
  • x -y -3z = -10

has solution (x, y, z) = (1, 2, 3) . . . . matches choice B.

_____

While it is convenient to solve this using a graphing calculator or web site, one can easily solve the system by hand.

Subtract the second equation from 3 times the first:

  3(3x +2y +z) -(9x -6y +z) = 3(10) -(0)

  12y + 2z = 30 . . . . simplify

Dividing this result by 2 gives ...

  6y +z = 15 . . . . . . [eq4]

Subtract 3 times the third equation from the first:

  (3x +2y +z) -3(x -y -3z) = (10) -3(-10)

  5y +10z = 40 . . . . simplify

  y + 2z = 8 . . . . . . . divide by 5 . . . . . [eq5]

The two equations [eq4] and [eq5] can be solved any of the ways you usually solve two equations in two variables. Here, we'll use the first equation to write an expression for z that we can substitute into the second equation.

  z = 15 -6y . . . . . subtract 6y from [eq4]

  y + 2(15 -6y) = 8 . . . . . substitute for z in [eq5]

  -11y +30 = 8 . . . . . simplify

  -11y = -22 . . . . . . . subtract 30

  y = 2 . . . . . . . . . . . divide by the coefficient of y

  z = 15 -6(2) = 3 . . . . substitute for y in our equation for z

Substituting these values for y and z into the third original equation gives ...

  x - 2 -3(3) = -10

  x -11 = -10 . . . . . . . . simplify

  x = 1 . . . . . . . . . . . . add 11

The solution to the above system of equations is (x, y, z) = (1, 2, 3).

_____

<em>Comment on the problem statement</em>

Math is generally unforgiving of imprecision. The given system of equations has no variable "z", and some other typos are apparently involved. That is why we rewrote the system to the equations shown above.

It is very easy to mistake z for 2, or g for 9, or o for 0, or 1 for 7. There are other confusions that are possible, as well. Letters I (eye) and l (ell) are easily confused, and may be confused with 1 (one) as well. Sometimes y and 4, or 4 and 9, can also be written so as to be difficult to tell apart. Great care must be taken when handwriting these symbols.

7 0
3 years ago
Which of the following is an improper integral:
Alla [95]

Answer:

∫₀² ln(x²) dx

Step-by-step explanation:

An integral is an improper integral if one or both endpoints is infinity, if the function is undefined at one or both endpoints, or if the function is discontinuous between the endpoints.

ln(x²) is undefined at x = 0.

6 0
3 years ago
Do 4-11 for brainliest questions are really easy.
nasty-shy [4]

Yes, yes here is the and your answer Tu respuesta es fácil, solo divídela entre 3 y ahí tienes tu respuesta. De nada por ayudarlo a resolver las preguntas 4 a 11

Step-by-step explanation:

6 0
3 years ago
*please help and explain how you got the answer!*
stepan [7]

Answer:

0

Step-by-step explanation:

A= (4-1)^3

simplify A to be 3^3

Which gives us 27

B=(2*3)^2-9

simplify B

first multiply the 2 numbers in paranthesis which gives us 6. raise it to the power of 2 which is 39 and then subtract 9. Gives us 27.

C=15^3*4-12

Simplify the exponent first. 3*4 gives us 12 and 12-12 equals 0. Anything raised to the power of 0=1

If A-B^C is the equation we can write 27-27 raised to the power of 1 which is 0

7 0
3 years ago
What is this ????&gt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;&lt;
Nat2105 [25]

Answer:

(x, y)

(7, 0)

Bike Trail is at 7, 0... It is 7 spots to the right (on the x axis) and 0 spots up or down (on the y axis)

Step-by-step explanation:

bike trail is the correct answer :)

Hope this helpss

6 0
3 years ago
Read 2 more answers
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