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Nana76 [90]
3 years ago
10

Convert 5 1/8 to a fractional notation

Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0
Basically speaking, a fractional notation is the same as a fraction itself. Thus, the best way to express the given problem in here would be to turn it into a fraction. Since the given variable is a mixed number, meaning that it is a whole number and a fraction combined, it can be turned into just a fraction or more specifically, an improper fraction. To do this, we have to take the denominator and multiply it to the whole number. After that, the product would be added to the numerator. The sum would be the new numerator and the denominator would remain the same. Thus, the answer would be 41/8
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19. If a school board determines that there should be 3 teachers for every 50 students, how many teachers are needed for an enro
WINSTONCH [101]

Answer:

324 teachers

Step-by-step explanation:

3 teachers of every 50 students

__ teachers of 5400 students

so,

5400 \div 50 = 108

therefore,

3 \times 108 = 324

7 0
3 years ago
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3x-12+10=8-2x what does x equal?
nikitadnepr [17]
X=2 because first you have to combine like terms. Than you have to bring the Varible on one side. Finally you solve for the Varible and you get the answer2.
5 0
3 years ago
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What is the row echelon form of this matrix?
USPshnik [31]

The row echelon form of the matrix is presented as follows;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

\begin{bmatrix}-3 &6  &15  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

The conditions of a matrix in the row echelon form are as follows;

  1. There are row having nonzero entries above the zero rows.
  2. The first nonzero entry in a nonzero row is a one.
  3. The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

\begin{bmatrix}1 &-2  &-5  \\ 2& -6 &  4\\ 1&0  &-1  \\\end{bmatrix}

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 1&0  &-1  \\\end{bmatrix}

Subtracting Row 1 from Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&2  &4  \\\end{bmatrix}

Adding Row 2 to Row 3 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& -2 &  14\\ 0&0  &18  \\\end{bmatrix}

Dividing Row 2 by -2, and Row 3 by 18 gives;

\begin{bmatrix}1 &-2  &-5  \\ 0& 1 &  -7\\ 0&0  &1  \\\end{bmatrix}

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0
1 year ago
Given that cos (x) = 1/3, find sin (90 - x)
ddd [48]

Answer:

\sin(90^{\circ} - x)=\frac{1}{3}

Step-by-step explanation:

Given: \cos (x)=\frac{1}{3}

We have to find the value of \sin(90^{\circ} - x)

Since Given \cos (x)=\frac{1}{3}

Using trigonometric identity,

\sin(90^{\circ} - \theta)=\cos\theta

Thus, for  \sin(90^{\circ} - x) comparing , we have,

\theta=x

We get,

\sin(90^{\circ} - x)=\cos x=\frac{1}{3}

Thus, \sin(90^{\circ} - x)=\frac{1}{3}

3 0
3 years ago
Read 2 more answers
Maths question trigonometry help pleassssee
r-ruslan [8.4K]

Answer:

x=4.5

Step-by-step explanation:

Using sohcahtoa we know tangent is equal to (length of side opposite to the angle ) / (lenth of side adjacent to the angle)

therefore: tan (theta) = (x-3) / (x) = 1 / 3

now cross multiply

3(x-3) = x

now solve for x

3x - 9 = x

-9= -2x

x= 4.5

7 0
2 years ago
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