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Galina-37 [17]
1 year ago
5

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub

e of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy
The inequality that represents this scenario is
1. 8.5x +20>54
2. 8.5x-20<54
3. 54-8.5x<20
4. 54- 8.5x>20
Mathematics
2 answers:
kakasveta [241]1 year ago
8 0

Answer:

4. 54- 8.5x>20

Step-by-step explanation:

Catherine only has $54, so she cannot spend more than that.

The canvas will cost at least $20, but we don't know how much exactly.

The tubes cost $8.50 each.

So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.

So, we transpose those facts into the inequity:

54 - 8.5x > 20

s344n2d4d5 [400]1 year ago
8 0

Answer:

Opcion 4

54- 8.5x>20

Step-by-step explanation:

We must identify the quantities.

<u><em>Painting canvas </em></u>

more than $ 20

<u><em>Paint tubes (x): </em></u>

$ 8.50 per tube = 8.50x

<u><em>Available money: </em></u>

$ 54

Then the expenses must not exceed $ 54, and the budget for the painting canvas must be greater than $ 20

The money after buying the paint tubes is:

54-8.50x

We know that this amount must be greater than $ 20 because you need to buy the painting canvas. So  the inequality is:

54-8.50x> 20

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Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made =  x

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Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x  times 3 hours  = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y  times 2 hours  = 2y

So, total time taken to make x necklace and y bracelets =  3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets =  18 x + 15 y

So according to the question:

x + y =  25 ..... (1)

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Solving the above system  substitute y =  25- x in (1)

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1 year ago
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