1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nevsk [136]
3 years ago
14

Does anyone know how to turn a fraaction percent into a decimal like this:

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0
3 divided by 8 and 17 divided by 30
You might be interested in
Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours. Write an equation to represent the rela
hichkok12 [17]
I’m not sure but this seems right


Y=6.25X
4 0
3 years ago
Please help!!<br> Write a matrix representing the system of equations
frozen [14]

Answer:

(4, -1, 3)

Step-by-step explanation:

We have the system of equations:

\left\{        \begin{array}{ll}            x+2y+z =5 \\    2x-y+2z=15\\3x+y-z=8        \end{array}    \right.

We can convert this to a matrix. In order to convert a triple system of equations to matrix, we can use the following format:

\begin{bmatrix}x_1& y_1& z_1&c_1\\x_2 & y_2 & z_2&c_2\\x_3&y_2&z_3&c_3 \end{bmatrix}

Importantly, make sure the coefficients of each variable align vertically, and that each equation aligns horizontally.

In order to solve this matrix and the system, we will have to convert this to the reduced row-echelon form, namely:

\begin{bmatrix}1 & 0& 0&x\\0 & 1 & 0&y\\0&0&1&z \end{bmatrix}

Where the (x, y, z) is our solution set.

Reducing:

With our system, we will have the following matrix:

\begin{bmatrix}1 & 2& 1&5\\2 & -1 & 2&15\\3&1&-1&8 \end{bmatrix}

What we should begin by doing is too see how we can change each row to the reduced-form.

Notice that R₁ and R₂ are rather similar. In fact, we can cancel out the 1s in R₂. To do so, we can add R₂ to -2(R₁). This gives us:

\begin{bmatrix}1 & 2& 1&5\\2+(-2) & -1+(-4) & 2+(-2)&15+(-10) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\0 & -5 & 0&5 \\3&1&-1&8 \end{bmatrix}

Now, we can multiply R₂ by -1/5. This yields:

\begin{bmatrix}1 & 2& 1&5\\ -\frac{1}{5}(0) & -\frac{1}{5}(-5) & -\frac{1}{5}(0)& -\frac{1}{5}(5) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3&1&-1&8 \end{bmatrix}

From here, we can eliminate the 3 in R₃ by adding it to -3(R₁). This yields:

\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3+(-3)&1+(-6)&-1+(-3)&8+(-15) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&-5&-4&-7 \end{bmatrix}

We can eliminate the -5 in R₃ by adding 5(R₂). This yields:

\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0+(0)&-5+(5)&-4+(0)&-7+(-5) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&-4&-12 \end{bmatrix}

We can now reduce R₃ by multiply it by -1/4:

\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\ -\frac{1}{4}(0)&-\frac{1}{4}(0)&-\frac{1}{4}(-4)&-\frac{1}{4}(-12) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}

Finally, we just have to reduce R₁. Let's eliminate the 2 first. We can do that by adding -2(R₂). So:

\begin{bmatrix}1+(0) & 2+(-2)& 1+(0)&5+(-(-2))\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 1&7\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}

And finally, we can eliminate the second 1 by adding -(R₃):

\begin{bmatrix}1 +(0)& 0+(0)& 1+(-1)&7+(-3)\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 0&4\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}

Therefore, our solution set is (4, -1, 3)

And we're done!

3 0
3 years ago
Laura has $30 to spend on food for the week. Which inequality represents this? x &lt; 30 x &lt; 30 x &gt; 30 x &gt; 30
Llana [10]
X is less than or equal to $30, she can spend $30, she cant spend more, she can spend less.

The answer should look like X<30 with a line under the less than sign, i hope this helps.
7 0
3 years ago
In a bag of marbles, 10 are blue, 30 are yellow, 20 are red, and 40 are green.AN marbles is taken from the bag without looking.
antoniya [11.8K]

Answer:

see below

Step-by-step explanation:

10 are blue, 30 are yellow, 20 are red, and 40 are green.

There are 100 marbles in the bag

The color that has the most marbles is green

P( green) = 40/100 = 40%

P( yellow) = 30/100 = 30%

P( red) = 20/100 = 20%

P( blue) = 10/100 = 10%

You will be more likely to pick a green marble

5 0
3 years ago
- A contractor plans to build a rectangular office complex. The floor area on the first floor of the
Neko [114]

Answer:

Width = 30

Step-by-step explanation:

Area = 18x * 10y = 180xy

Length = 6xy

Width = ?

Since the shape of the office complex is a rectangle,

Area of a rectangle = length × width

180xy = 6xy × width

Width = 180xy / 6xy

Width = 30

4 0
3 years ago
Other questions:
  • Please help me solve this!
    12·1 answer
  • The table represent the function f(x) if g(x) =4x -8 which statement is true see picture please thank you inadvance
    15·1 answer
  • 23. 10c2 - 21c = -4c + 6
    10·1 answer
  • Last week’s and this week’s daily high temperatures are shown in the table below. High Temperatures for This Week and Last Week
    13·2 answers
  • How do you calculate angles on parallel lines
    9·1 answer
  • 5t + 5 = 30 solve for t
    5·2 answers
  • Which equation can be used to solve for the unknown number? Seven less than a number is thirteen.
    14·2 answers
  • I REALLY NEED HELP!!!
    12·2 answers
  • X-y=-10<br> 2x+4y=22 Solving Systems by Substitution
    15·1 answer
  • Chocolate brownie recipe is as follows:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!