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netineya [11]
3 years ago
14

Out of 32 students in the class 5 said they rode their bikes to school based on their results how many of the 800 students in th

e school rode their bikes toschool
Mathematics
1 answer:
ZanzabumX [31]3 years ago
7 0
The ratio is 5:32.
To make this equivalent we need to find the ratio between 800 and 32:

800/32
25
Now, multiply 5 and 25

25*5
125

Hope this helped!
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Use the augmented matrix method to solve the following system of equations. Your answers may be given as decimals or fractions.
Alexandra [31]

Answer:

x\ =\ \dfrac{21}{5}

y\ =\ \dfrac{3}{5}

z = 2

Step-by-step explanation:

Given equations are

x - 2y - z = 2

x + 3y - 2z = 4

-x + 2y + 3z = 2

from the given equations the augmented matrix can be written as

\left[\begin{array}{ccc}1&-2&-1:2\\1&3&-2:4\\-1&2&3:2\end{array}\right]

R_2=>R_2-R_1\ and\ R_3=>R_3+R_1

=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&5&-1:2\\0&0&2:4\end{array}\right]

R_2=>\dfrac{R_2}{5}

=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\0&0&2:4\end{array}\right]

R_1=>R_1+2.R_2

=\ \left[\begin{array}{ccc}1&0&-1-\dfrac{2}{5}:2+\dfrac{4}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]

=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]

R_3=>\dfrac{R_3}{2}

=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&1:2\end{array}\right]

R_1=>R_1+\dfrac{7}{5}R_3\ and\ R_2+\dfrac{1}{5}R_3

=\ \left[\begin{array}{ccc}1&0&0:\dfrac{14}{5}+\dfrac{7}{5}\\\\0&1&0:\dfrac{2}{5}+\dfrac{1}{5}\\\\0&0&1:2\end{array}\right]

So, from the above augmented matrix, we can write

x\ =\ \dfrac{21}{5}

y\ =\ \dfrac{3}{5}

z = 2

7 0
3 years ago
R+5=3r+7 solve each equation. Combine like terms
sveta [45]
R+5=3r+7
  -5      -5
    r=3r+2
 -3r -3r
   -2r=2 
÷-2 ÷-2
r=-1

8 0
3 years ago
Find the volume of a cuboid of length 8cm, width 9cm and height 4cm​
Varvara68 [4.7K]

Answer:

288 cm³

Step-by-step explanation:

cuboid formular: lengtg×width×height

8 0
2 years ago
Read 2 more answers
A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the
Aloiza [94]

Answer:

P’(-1, 1), I’ (1, 2), G’(1,0)

Step-by-step explanation:

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3 years ago
How do you get the answer for 10x4= _ x 5
andrezito [222]
10 • 4 = _ • 5

10•4=40

40/5=8
8 0
3 years ago
Read 2 more answers
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