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DIA [1.3K]
3 years 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 best represents this scenario is .
The number of tubes of paint Catherine can buy is
Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer;

4 or more tubes or paint.

Step-by-step explanation:

54- 8.50x > 20

-54               -54

 

-8.50x > -34

now you have to divide by -8.50 on both sides to get x alone.

-8.50x/-8.50 > -34/-8.50

x=4

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2 3 5 7

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1 plus 1 minus 24n -55n
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A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two identical pastures. The mater
Dahasolnce [82]

Answer: The largest dimensions that are possible would be 50 foot by 125 foot.

Step-by-step explanation:

Since we have given that

Amount a farmer has available = $1500

Let x be the side perpendicular to the river.

Let y be the side parallel to the river.

Number of section perpendicular to the river = 3

cost of material for the side parallel to the river = $6 per foot

Cost of material for the side perpendicular to the river = $5 per foot

So, total cost becomes

Cost=6y+5(3x)=1500\\\\Cost=6y+15x=1500\\\\y=\dfrac{1500-15x}{6}}

Area would be

A=x\times y\\\\A=x(\dfrac{1500-15x}{6})\\\\A=\dfrac{1}{6}(1500x-15x^2)\\\\A'=\dfrac{1}{6}(1500-30x)

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So, it becomes,

\dfrac{1}{6}(1500-30x)=0\\\\1500-30x=0\\\\1500=30x\\\\x=\dfrac{1500}{30}\\\\x=50

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So, the largest dimensions that are possible would be 50 foot by 125 foot.

7 0
3 years ago
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