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Luda [366]
3 years ago
14

The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and

1/2 hour to paint, and the economy model requires 2 hours to assemble and 1 hour to paint. The maximum number of assembly hours available is 30 per day, and the maximum number of painting hours available is 9 per day. (a) Write the system of inequalities that describes the constraints on the number of each type of wood chipper produced. (Let x represent the number of deluxe models, and let y represent the number of economy models.)
Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

3x + 2y ≤ 30

0.5x + y ≤ 9

Step-by-step explanation:

Number of deluxe model = x

Number of economy models = y

Assembly hours :

Maximum hours = 30

Deluxe model = 3 hours

Economy model = 2 hours

3x + 2y ≤ 30

Painting :

Maximum hours = 9

Deluxe model = 1/2 = 0.5 hours

Economy model = 1 hours

0.5x + y ≤ 9

Therefore the inequality constraints are:

3x + 2y ≤ 30

0.5x + y ≤ 9

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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

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3 years ago
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very positive about these results

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How to find trigonomic ratio ​
ycow [4]

Answer:divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

Step-by-step explanation:

divide the opposite sides, by the length of the hypotenuse. To get the cosine, divide the length of the adjacent side,by the length of the hypotenuse.

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Whoever answers gets brainlist!
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Answer: D

Step-by-step explanation: an irrational number cannot be written as the quotient of of two integers, it will produce a decimal number that probably goes on forever in a calculator

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<span>The sum of the interior angles of a triangle is 180 degrees
</span>
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3 years ago
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