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Mariana [72]
3 years ago
8

A discount bookstore sells hardcover books for $12 and paperback books for $6. The number of hardcover books, x, sold one day wa

s twice the number of paperback books, y, sold the same day. The total sales that day were $180. What is the system of equations that represents this situation
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer: the system of equations that represents this situation are

12x + 6y = 180

x = 2y

Step-by-step explanation:

Let x represent the number of hardcover books that were sold in a day.

Let y represent the number of paperback books that were sold in a day.

The discount bookstore sells hardcover books for $12 and paperback books for $6. The total sales that day were $180. It means that

12x + 6y = 180

The number of hardcover books sold that day was twice the number of paperback books. It means that

x = 2y

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xz_007 [3.2K]

Answer:

Center =  \boxed{1}, \: \boxed{ - 2} \: ; \: Radius =  \boxed{3}

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  - 2x + 4y - 4 = 0 \\  \\  ({x}^{2}  - 2x + 1 - 1) + ( {y}^{2}  + 4y + 4 - 4) - 4 = 0 \\  \\ ( {x}^{2}  - 2x + 1) + ( {y}^{2}  + 4y + 4) - 9 = 0 \\  \\  {(x - 1)}^{2}  +  {(y + 2)}^{2}  = 9 \\  \\ {(x - 1)}^{2}  +  {(y + 2)}^{2}  =  {3}^{2}  \\  \\ equating \: it \: with \\  \\  {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}  \\  \\ h = 1 \\ k =  - 2 \\ r = 3 \\  \\ center =  \boxed{1} \: \boxed{ - 2} \:  \: radius =  \boxed{3}

3 0
3 years ago
Morgan earned $70.00 at her job when she worked for 4 hours. How much money did she earn each hour?
Mila [183]

Answer:

divide the 70.00 by the four hours

Step-by-step explanation:

4 0
2 years ago
...................
Zinaida [17]

Answer:

easey, sub them

(x,y)

see if true

(0,1), 2(0)+1>-4, 1>-4, true

(4,-12), 2(4)+-12>-4, 8-12>-4, -4>-4, false

(5,-12), 2(5)+-12>-4, 10-12<-4, -2>-4, true

(-1,-1), 2(-1)+-1>-4, -2-1>-4, -3>-4, true

(-3,0), 2(-3)+0>-4, -6>-4, false

answers are

(0,1)

(5,-12)

(-1,-1)

Hopefully that helped you a little bit :)

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3 years ago
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Step-by-step explanation: The 100

7 0
3 years ago
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