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mr Goodwill [35]
3 years ago
10

Henry has a rope that is 9 meters long. He cuts away a plece that is 1.31 meters long. How long is the remaining plece of rope?

Mathematics
2 answers:
Olin [163]3 years ago
8 0

Answer: 7.69 meters long

Step-by-step explanation:

Since henry is cutting away rope, he is subtracting.

The rope is 9 meters long for the whole but he subtracts 1.3 meters from the 9 meters.

So, 9 - 1.31 = 7.69

Blababa [14]3 years ago
3 0
Take 9 and subtract 1.31. It equals 7.69 meters
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Solve the system of linear equations.
sweet-ann [11.9K]

Answer:

  • dependent system
  • x = 2 -a
  • y = 1 +a
  • z = a

Step-by-step explanation:

Let's solve this by eliminating z, then we'll go from there.

Add 6 times the second equation to the first.

  (3x -3y +6z) +6(x +2y -z) = (3) +6(4)

  9x +9y = 27 . . . simplify

  x + y = 3 . . . . . . divide by 9 [eq4]

Add 13 times the second equation to the third.

  (5x -8y +13z) +13(x +2y -z) = (2) +13(4)

  18x +18y = 54

  x + y = 3 . . . . . . divide by 18 [eq5]

Equations [eq4] and [eq5] are identical. This tells us the system is dependent, and has an infinite number of solutions. We can find them in terms of z:

  y = 3 -x . . . . solve eq5 for y

  x +2(3 -x) -z = 4 . . . . substitute into the second equation

  -x +6 -z = 4

  x = 2 - z . . . . . . add x-4

  y = 3 -(2 -z)

  y = z +1

So far, we have written the solutions in terms of z. If we use the parameter "a", we can write the solutions as ...

  x = 2 -a

  y = 1 +a

  z = a

_____

<em>Check</em>

First equation:

  3(2-a) -3(a+1) +6a = 3

  6 -3a -3a -3 +6a = 3 . . . true

Second equation:

  (2-a) +2(a+1) -a = 4

  2 -a +2a +2 -a = 4 . . . true

Third equation:

  5(2-a) -8(a+1) +13a = 2

  10 -5a -8a -8 +13a = 2 . . . true

Our solution checks algebraically.

6 0
3 years ago
What is the solution to this equation x+6=24
mihalych1998 [28]

x=18 if im not mistaken that was pretty easY

3 0
4 years ago
Read 2 more answers
Mario is paid a salary of $500 plus 8% of sales. Calculate his total income if his sales total $10,890 in the
Gre4nikov [31]

Answer:

His total income is of $1,371.2.

Step-by-step explanation:

His salary is of $500, plus 8% of his sales.

In this question:

Sales of $10,890. So his salary is given by:

S = 500 + 0.08*10890 = 500 + 871.2 = 1371.2

His total income is of $1,371.2.

7 0
3 years ago
KGraph the function f(x) = 2x(x-4)(x+3).Use the graphing tool to graph the function.Click toenlargegraphKD130-
tekilochka [14]

Given:

The function given is,

f(x)=2x(x-4)(x+3)

Required:

To graph the given function.

Explanation:

We have the given function as follows:

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The graph of the function is shown below in the attachment:

Final Answer:

The graph of the function is shown in the attachment.

8 0
1 year ago
Which equation shows a line with a slope of 3 that passes through the point ((1,-2)
qaws [65]

Answer:

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Step-by-step explanation:

Slope m = 3

Using (1,-2)

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-2 = 3 + b

b = -5

then y = 3x - 5

7 0
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