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ipn [44]
3 years ago
11

During a special sale, all video games cost $26 and all movies cost $14. Derrick plans to spend some or all of his $220 in birth

day money on these movies and video games. Let "x" represet the number of games Derrick can buy and "y" represent the number of movies he can buy. Write the inequality that describes this situation in standard form.
Mathematics
1 answer:
BigorU [14]3 years ago
7 0

Answer:

13x+7y\leq 110

Step-by-step explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of x video games + cost of y movies \leq 220

Therefore, the inequality is 26x+14y\leq 220

Divide this inequality by 2

13x+7y\leq 110

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5 0
3 years ago
Solve the following system of equations for all three variables.
GrogVix [38]

Answer:

(x,y,z) -> (2,4,1)

Step-by-step explanation:

-7x + y + z = -9

-7x + 5y - 9z = -3

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Pick two pairs:

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7x - 6y + 4z = -6

and

-7x + y + z = -9

-7x + 5y - 9z = -3

Eliminate the same variable from each system:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

+ 5y - 9z = -3

- 6y + 4z = -6

<u><em>-1y - 5z = - 9</em></u>

-7x + y + z = -9

-7x + 5y - 9z = -3

-7x + y + z = -9

7x - 5y + 9z = 3

<u><em>-4y - 10z = -6</em></u>

Solve the system of the two new equations:

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-4y - 10z = -6          ->           -4y - 10z = -6      ->   -4y - 10z = -6

10z = 30

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-4y - 10(3) = -6

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Thus, y = -6

Substitute into one of the original equations:

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7x + -3  = -9

7x  = -6

x =

4 0
3 years ago
What solid figure is this
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7 0
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Answer:

C.The probabilities are equal.  

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FALSE, as both have same probabilities.

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TRUE, both have same probability = 1/10

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3 0
3 years ago
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