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3 years ago

Simplify 9/12 into simplest form

2 answers:

5 0

We divide both numbers by three bcz both are multiples of three
And by dividing them by three we get:
9……….3
— ➗ —. = 3/4
12……..3

HOPE IT HELPS!!!

Kryger [21]3 years ago

4 0

Both 9 and 12 can be divided by 3.
Divide both 9 and 12 by 3.
9/3=3 12/3=4
9/12=3/4
3/4 is the simplest form of 9/12

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3 years ago

Solve the system. If there is more than one solution, write the general solution. x + y - 2z = 9 3x + y + 2z = 15 x - 5y + 22z =

Margaret [11]

Answer:

Step-by-step explanation:

Given the system of equation

x + y - 2z = 9 ... 1

3x + y + 2z = 15 ...2

x - 5y + 22z = -27... 3

First let us reduce the system of equation into two with two unknowns.

Subtracting 1 from 3

y-(-5y) + (-2z-22z) = 9-(-27)

y+5y + (-24z) = 9+27

6y-24z = 36 ... 4

Multiplying equation 1 by 3 and subtracting from equation 2

3x + 3y - 6z = 27

3x + y + 2z = 15

On subtracting both;

(3y-y)+(-6z-2z) = 27-15

2y-8z = 12 ... 5

Equating 4 and 5

6y-24z = 36 ... 4

2y-8z = 12 ... 5

Multiplying equation 5 by 3 the equation becomes;

6y-24z = 36 ... 6

6y-24z = 36 ... 7

We can see that equation 6 and 7 are the same;

let y = k

6k - 24z = 36

k - 4z = 6

4z = k-6

z = k-6/4

Substituting y = k and z = k-6/4 into equation 1 to get x

From 1; x + y - 2z = 9 ... 1

x + k -2( k-6/4) = 9

x + k - (k-6)/2 = 9

x = 9+(k-6)/2-k

x = {18+(k-6)-2k}/2

x = (12-k)/2

The solutions to the system of equations are x = (12-k)/2, y = k, z = (k-6)/4 where k is any constant. This shows that the system of equation has infinite solutions.

7 0

3 years ago

Tell whether the difference between two negative integers is always, sometimes, or never positive. The difference between two ne

babymother [125]

Answer:

. 2) It’s positive only if the first integer is greater

3 0

3 years ago

Read 2 more answers

Piper used 1/5 meter of ribbon to create a border around a triangle if each side of the triangle is the same length how much rib

olasank [31]

Answer:

$\frac{1}{15}$

Step-by-step explanation:

as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,

let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5

$x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}$

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3 years ago

A person can pay 18$ for a membership at a museum and then go for just 1$ per visit. What is the maximum number of visits a memb

Studentka2010 [4]

<h3>Answer: 32</h3>

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Work Shown:

Let

x = number of visits

y = total cost in dollars

The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18

We want the total y to be at most $50. Therefore $y \le 50$ . The highest y can get is 50.

Let's replace y with x+18 and isolate x

$y \le 50$

$x+18 \le 50$ y is replaced with x+18

$x+18-18 \le 50-18$ subtract 18 from both sides

$x \le 32$

This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.

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3 years ago