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Firdavs [7]
3 years ago
15

Jeremy lost his dog, and wants to make some signs to put up in the neighborhood. The cost to make 8 paper signs and 2 laminated

signs is $12.00. The cost to make 10 paper signs and 10 laminated signs is $30.00. What is the cost of 1 laminated sign?
Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

cost to make paper signs = $1

cost to make laminated signs = $2

Step-by-step explanation:

Let

x = cost to make paper signs

y = cost to make laminated signs

8x + 2y = 12 (1)

10x + 10y = 30 (2)

Multiply (1) by 5

40x + 10y = 60 (3)

10x + 10y = 30 (2)

Subtract (2) from (3) to solve for x

40x - 10x = 60 - 30

30x = 30

x = 30/30

x = $1

Substitute x = 1 into (1)

8x + 2y = 12

8(1) + 2y = 12

8 + 2y = 12

2y = 12 - 8

2y = 4

y = 4/2

y = $2

cost to make paper signs = $1

cost to make laminated signs = $2

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9514 1404 393

Answer:

  (c)  27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

Step-by-step explanation:

As with many multiple-choice questions, you only need to look at something that will discriminate the correct answer from the wrong one.

The highest-degree product term is the product of the highest-degree terms in the factors:

  (3x^5)(9x^6) = 27x^11

This matches choice C only.

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In case you're interested in actually performing the rest of the multiplication, the distributive property applies.

  (1 +3x^5)(17x^2 +9x^6 -20)

  = 1(17x^2 +9x^6 -20) +3x^5(17x^2 +9x^6 -20)

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Writing these terms in order of decreasing exponents gives ...

  = 27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

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3 years ago
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A farmer planted 2/5 of his forty acres in corn and another 3/10 of his land in wheat
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7/10

Step-by-step explanation:

8 0
3 years ago
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Anvisha [2.4K]

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Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

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Step by step solution :

STEP

1

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1.1     Pull out like factors :

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Equation at the end of step

1

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STEP 2

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2.1   Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

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2.2    Divide both sides by  7  

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Solve Basic Inequality :

2.3      Subtract  10/7  from both sides

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Inequality Plot :

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One solution was found :

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