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masha68 [24]
3 years ago
15

joe goes to a mexican resturant and orders nachos. He can have just cheese or any of the following: chicken, onions, sour cream,

or olives. how many different variations of nachos are possible
Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
Since there is no specific order at which he can select the ingredient, in this case we shall use the combinations to compute for the variation of nachos Joe can have. This will be given by:
5C1
=5
We therefore conclude that Joe will have 5 variations

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A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?
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Answer:

60 feet

Step-by-step explanation:

4 0
2 years ago
solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
Help please!!!! thank you in advance. asap too​
qaws [65]
You can check the following
C=4
C=5
C=11
4 0
2 years ago
3.617 to 2 decimal places
gavmur [86]
3.61 is the answer because there is only two numbers after the decimal
8 0
3 years ago
Read 2 more answers
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