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3 years ago

Write 2.1 (periodic decimal, only 1 repeats) as a mixed number. Show your work.

Mathematics

2 answers:

zvonat [6]3 years ago

8 0

Answer:

2 1/10

Step-by-step explanation:

.1 is the same as 1/10 and the 2 is well a normal boring 2

garri49 [273]3 years ago

7 0

Answer: 2 1/9 is the mixed number that is equivalent to 2.1111 repeating

Step-by-step explanation:

Try dividing 1÷9 on a calculator to get the decimal value of 1/9.

Then just keep 2 as the whole number in front of the fraction.

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The length of an equilateral triangle is increased by 7 inches, so the perimeter is now 36 inches. Find the original length of e

STALIN [3.7K]

The original length is 5 inches per side.

4 0

4 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

x = 2
y = -1

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

3 years ago

In the expression 3x+7-9n+12, there are how many terms? *

azamat

There are four terms in that expression.

6 0

3 years ago

Read 2 more answers

EASY, ASAP!

Lady bird [3.3K]

Answer:

Number 1: x = 5

Number 2: y = 3, x = 1

Number 3: x = 40

Step-by-step explanation:

For Number 1 you have to keep in mind that quadrilaterals have an interior angle measurement of 360°.

With that in mind, all the angles must add up to 360° (duh).

(20x - 16) + (81) + (16x + 10) + (15x + 30)

20x - 16 + 81 + 16x + 10 + 15x + 30 = 360

That's a bloody mess! We should really combine like terms.

20x - 16 + 81 + 16x + 10 + 15x + 30

51x + 105 = 360

That looks a lot better, basic algebra from here, where we droppin' bois?

51x = 255

x = 5

--------------------------------------------------

This one's real easy.

In a parallelogram, the sides opposite from each other are equal, therefore:

2y + 2 = 4y - 4

and

x + 6 = 7x

Both are very easy to solve, here:

2y + 2 = 4y - 4

2y + 6 = 4y

6 = 2y

3 = y

Easy!

x + 6 = 7x

6 = 6x

1 = x

Are you kidding me? This is easy stuff, kid.

--------------------------------------------------

In a Rhombus, in case you didn't know, its diagonals (the lines connecting points diagonal to each other) are ALWAYS perpendicular to one another (intersect at 90°) which means:

2x + 10 = 90

2x = 80

x = 40

--------------------------------------------------

That will be all, ya boi Keith.

4 0

3 years ago

17. If the numerator is larger than the denominator, then the value of the fraction is

kipiarov [429]

Answer:

Step-by-step explanation:

The numerator being bigger would make it an improper fraction, making it larger than one.

6 0

3 years ago