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Schach [20]
3 years ago
13

Find the product and the quotient. 1/3 x 1/6 = 1/6 dividend by 3 =

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

1. 1/18

2.1/18

Step-by-step explanation:

In order to multiply fractions, you just multiply it straight out. Numerator to numerator, denominator to denominator.

1*1=1

6*3=18

So, the answer is 1/18.

To divide fractions, you flip the second number. If the number is 3, you flip the 3 to the denominator to make 1/3. Then, you multiply using the rule above.

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2х5y-3z-=14<br> x-2y+=-12<br> -x+ Зу-2z =13
lukranit [14]

Answer:

x = -34/3, y = 1/3, and z = -35/3

Step-by-step explanation:

2х+5y-3z-=14   <u>let's call this </u><u>equation 1.</u>

x-2y=-12   <u>let's call this </u><u>equation 2.</u>

-x+Зу-2z =13  <u>let's call this </u><u>equation 3.</u>

<u>USING </u><u>EQUATION 1</u><u> AND </u><u>EQUATION 3</u><u>.</u>

2х+5y-3z-=14   (EQUATION 1)

-x+Зу-2z =13  (EQUATION 3)

<u>LET'S GET RID OF </u><u>z</u><u>, BY MAKING THE COEFFICIENT OF </u><u>z</u><u> IN THE TWO EQUATION THE SAME. WE WILL MULTIPLY </u><u>EQUATION 1</u><u> BY </u><u>2</u><u> AND </u><u>EQUATION 3</u><u> BY </u><u>3</u><u>.</u>

2х+5y-3z-=14   (EQUATION 1) * 2

-x+Зу-2z =13  (EQUATION 3) * 3

4х+10y-6z-=28   <u>let's call this </u><u>equation 4.</u>

-3x+9у-6z =39  <u>let's call this </u><u>equation 5.</u>

<u>TO GET RID OF </u><u>z</u><u>, WE WILL HAVE TO SUBTRACT </u><u>EQUATION 5</u><u> FROM </u><u>EQUATION 4</u><u> PLEASE TAKE NOTE OF THE SIGNS (-) (+).</u>

4х+10y-6z-=28   (EQUATION 4)

- (-3x+9у-6z =39) (EQUATION 5)

(4x - 3x) + ((+10y) - (+9y)) + ((-6z) - (-6z)) = (28 - 39)

x + y + 0 = -11

x + y = -11  <u>let's call this </u><u>equation 6.</u>

<u>USING </u><u>EQUATION 2</u><u> AND </u><u>EQUATION 6</u><u>, LET'S FIND </u><u>x</u><u> AND </u><u>y</u><u>.</u>

x-2y=-12  (EQUATION 2)

x + y = -11  (EQUATION 6)

<u>x</u><u> has the same coefficient in both equations, which is </u><u>1</u><u>. Let's get rid of </u><u>x</u><u> so we can find the value of </u><u>y</u><u>.</u>

<u>We will subtract </u><u>equation 6</u><u> from </u><u>equation 2</u><u>. Take note of the signs.</u>

x-2y=-12  (EQUATION 2)

- (x + y = -11)  (EQUATION 6)

(x - x) + ((-2y) - (+y)) = ((-12) - (-11))

0 + -3y = -1

-3y = -1

<u>Divide both sides by </u><u>-3</u><u>.</u>

-3y/-3 = -1/-3

y = 1/3

<u>LET'S SUBSTITUTE THE VALUE OF </u><u>y</u><u> INTO</u><u> EQUATION 2</u><u> TO GET THE VALUE OF </u><u>x</u><u>.</u>

x-2y=-12  (EQUATION 2)

x-2(1/3)=-12  

x -2/3 = -12

<u>Add </u><u>2/3</u><u> to both sides.</u>

x -2/3 + (2/3) = -12 + (2/3)

x + 0 = -34/3

x = -34/3

<u>LET'S SUBSTITUTE THE VALUES OF </u><u>x</u><u> and </u><u>y</u><u> INTO</u><u> EQUATION 1</u><u> TO GET THE VALUE OF </u><u>z</u><u>.</u>

2х+5y-3z-=14   (EQUATION 1)

2(-34/3)+5(1/3)-3z-=14  

-68/3 + 5/3 - 3z = 14

-21 - 3z = 14

<u>Add </u><u>21</u><u> to both sides.</u>

-21 + (21) - 3z = 14 + (21)

0 - 3z = 35

-3z = 35

<u>Divide both sides by </u><u>-3</u><u>.</u>

-3z/-3 = 35/-3

z = -35/3 <em>or</em>  

Therefore, x = -34/3, y = 1/3, and z = -35/3

Please thank, rate 5 stars, and give brainliest. Thank you.

6 0
3 years ago
A truck carrying 771.849 pounds of sand travels to a construction yard and loses 489.132 pounds of sand along the way. How much
damaskus [11]
771.849-489.132=282.717 lbs left.
4 0
4 years ago
Need answer fast as possible
k0ka [10]

Answer:15

Step-by-step explanation:

The box on the left is square in a square all side are equal

7 0
3 years ago
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True or False: Like the edges of a filled-in area, the endpoints of a polygon do not need to conform to snap points.
kirill [66]

Answer:

The answer is "False."

Explanation:

An area is considered the amount of space that an object occupies. A filled-area subjects the object to be made  up of lines. These lines connect with each other to form an "edge."

The connection of the lines in order to define the object's shape or area are considered "snap points." Remember that "polygons" are made of line segments, where their endpoints meet with each other in order to define its closed shaped. <u>Thus, it needs to conform to "snap points."</u>

This explains the answer.

8 0
3 years ago
PLEASE HELP.I will give you the brainiest quickly
kotegsom [21]

Answer:

It's B :)

Step-by-step explanation:

4 0
3 years ago
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