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Fantom [35]
3 years ago
13

5. You must use 2 eggs to make 6 dozen cookies. How many eggs are needed to make 42 dozen cookies?

Mathematics
2 answers:
Natali5045456 [20]3 years ago
7 0
14 eggs will be needed
Llana [10]3 years ago
6 0
Its 2 eggs for every 6 dozens
6/2 multiply top and bottom by 7 because 6x7=42 dozens, so 2x7=14 so 14 eggs
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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
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
aliina [53]

Answer:

41 units

Step-by-step explanation:

Rectangles have right angles, so we can use Pythagorean theorem to find the diagonal.

c² = a² + b²

c² = 9² + 40²

c² = 81 + 1600

c² = 1681

c = 41

4 0
3 years ago
What is mean BIJUS ?​
sergeinik [125]

Answer:

abbreviation, shorthand or slang term: BIJS.

( I hope this was helpful) >;D

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3 years ago
Ayayayayauauauaua help
Cerrena [4.2K]

Answer:

I cant do them all for you, but essentially every equation there is an a, plug in 10 for a. Every equation  with b, plug in 9 and every equation with c plug in 4. Then Solve/simplify

Step-by-step explanation:

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nasty-shy [4]

Answer:

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Step-by-step explanation:

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