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Flauer [41]
2 years ago
14

Use elimination to solve each system.

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
7 0

Answer:

$3 and $2

Step-by-step explanation:

let p represent popcorn and d drinks , then

2p + 3d = 12 → (1)

3p + 5d = 19 → (2)

multiplying (1) by 3 and (2) by - 2 and adding will eliminate p

6p + 9d = 36 → (3)

- 6p - 10d = - 38 → (4)

add (3) and (4) term by term to eliminate p

0 - d = - 2

- d = - 2 ( multiply both sides by - 1 )

d = 2

substitute d = 2 into either of the 2 equations and solve for p

substituting into (1)

2p + 3(2) = 12

2p + 6 = 12 ( subtract 6 from both sides )

2p = 6 ( divide both sides by 2 )

p = 3

Popcorn costs $3 and a drink costs $2

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(6x - 3) - (-3x + 2)
nadezda [96]

Answer:

Step-by-step explanation:

Simplifying

6x + -3 = (3x + -2)

Reorder the terms:

-3 + 6x = (3x + -2)

Reorder the terms:

-3 + 6x = (-2 + 3x)

Remove parenthesis around (-2 + 3x)

-3 + 6x = -2 + 3x

Solving

-3 + 6x = -2 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-3 + 6x + -3x = -2 + 3x + -3x

Combine like terms: 6x + -3x = 3x

-3 + 3x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0

-3 + 3x = -2 + 0

-3 + 3x = -2

Add '3' to each side of the equation.

-3 + 3 + 3x = -2 + 3

Combine like terms: -3 + 3 = 0

0 + 3x = -2 + 3

3x = -2 + 3

Combine like terms: -2 + 3 = 1

3x = 1

Divide each side by '3'.

x = 0.3333333333

Simplifying

x = 0.3333333333

6 0
2 years ago
Trigonometry<br> Reference Angles and Triangles<br> The value of Sin 440* is equal to?
Lunna [17]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qualit
Romashka-Z-Leto [24]

Answer:

a

\= x  =  82

b

s =  9.64

Step-by-step explanation:

From the question we are told that

    The data is  87  91  86  82  72  91   60  77  80  79  83  96

Generally the point estimate for the mean is mathematically represented as

    \= x  =  \frac{\sum  x_i }{n}

=>  \= x  =  \frac{87 +91 + 86 + \cdots  + 96}{12}

=>    \= x  =  82

Generally the point estimate for the standard deviation  is mathematically represented as

      s =  \sqrt{\frac{ \sum ( x_i  - \= x )^2 }{ n -1 } }

=>     s =  \sqrt{\frac{ ( 87 - 82  )^2 +( 91 - 82  )^2 + \cdots + ( 96 - 82  )^2  }{ 12 -1 } }

=>     s =  9.64

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3 years ago
180=2x+y which equation is used to find x
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180=2x+y
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steposvetlana [31]
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The reaction side are both aquas and the product is aquas and a solid precipitate. </span>
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