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2 years ago

The rational number halfway between 2/4 and 1/8

Mathematics

2 answers:

arsen [322]2 years ago

8 0

Answer: 5/16, or 0.3125

First, add the two fractions. Both fractions must have the same denominator.

2/4 → 4/8

1/8

4/8 + 1/8 = 5/8

Now, divide by 2:

5/8/2 = 5/16

I also found another way to solve this, if you're interested:

First, convert both fractions to their sixteenths form:

2/4: 8/16

1/8: 2/16

Then, identify the number midway between the numerators, being 5.

So, the answer is 5/16

galben [10]2 years ago

6 0

Answer:

one third or 0.333333...

Step-by-step explanation:

a rational number is a number that can be written as a ratio between two numbers. they an be repeating like 1/3 or terminating like 1.36.

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What is the 15th term of the sequence 20, 16, 12, 8, 4, ...?

Leviafan [203]

Answer:

C -36

Step-by-step explanation:

8 0

2 years ago

The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge

Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

$5x+4y+5z=-1$

$x+y+2z=1$

$2x+y-z=-3$

Firs we find determinant of system of equations

Let a matrix A= $\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right]$ and B= $\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]$

$\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}$

$\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0$

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply $R_1\rightarrow R_1-4R_2$ and $R_3\rightarrow R_3-2R_2$

$\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]$

Apply $R_2\rightarrow R_2-R_1$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]$

Apply $R_3\rightarrow R_3+R_2$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]$

Apply $R_3\rightarrow- \frac{1}{2}$ and $R_2\rightarrow R_2-R_3$

$\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Apply $R_1\rightarrow R_1-R_3$

$\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0

2 years ago

Look at the table representing the distance covered by a car accelerating from 0 miles per hour. The table shows a relationship.

vfiekz [6]

quadratic

second

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8 0

2 years ago

The first terms of a geometric sequence are 0.778,-2.33,7,-21, and 63. What is the 6th term?

aliya0001 [1]

Answer:

-189

Step-by-step explanation:

If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term

3 0

2 years ago

Graph the inequality;y>-5x+3

Evgesh-ka [11]

Start your dot on 3 on the y axis. Move is downwards on the y axis by 5 everytime you move over once on the x axis. Shade all the stuff above the line since it says y is greater than -5x+3

7 0

2 years ago