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3 years ago

Which equation is another way to show 2/3 A. 1/2 ÷ 3 = _ B. 1/3 ÷ 2 = _ C. 2 ÷ 1/3 = _ D. 2 ÷ 3 = _ E. 3 ÷ 2 = ___

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

Step-by-step explanation:

A. 1/2 ÷ 3 = 1/6

B. 1/3 ÷ 2 = 1/6

C. 2 ÷ 1/3 = 6/1

D. 2 ÷ 3 = 2/3

E. 3 ÷ 2 = 3/2

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Answer:

1/22

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2 years ago

natima [27]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.

The store keeps an inventory of 80 shovels, then

x+y+z=80

The store always buy twice as many spade shovels as square, so

x=2z

The total cost of all shovels is

16x+9.60y+12.80z=1,072

a) The system of three equations is

$\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.$

b) In matrix form this is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)$

c) The determinant is

$\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16$

d) Find three determinants:

$\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608$

$\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368$

$\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304$

So,

$x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19$

e) If the store doubled all prices and inventory, then the new matrix is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)$

7 0

3 years ago

Which equation is another way to show 2/3 A. 1/2 ÷ 3 = ___ B. 1/3 ÷ 2 = ___ C. 2 ÷ 1/3 = ___ D. 2 ÷ 3 = ___ E. 3 ÷ 2 = ___​

Which equation is another way to show 2/3 A. 1/2 ÷ 3 = _ B. 1/3 ÷ 2 = _ C. 2 ÷ 1/3 = _ D. 2 ÷ 3 = _ E. 3 ÷ 2 = ___