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klemol [59]
3 years ago
12

A small pie factory needs to ship 360 pies a day to stay profitable. 180 pies are baked every 3 hours. Of the baked pies, 20% go

directly to freezer storage and 80% are loaded on a truck for delivery. Find the constant of proportionality for the number of pies baked and loaded on a truck for delivery. A.48 B. 60 C. 96 D. 144
Mathematics
1 answer:
luda_lava [24]3 years ago
8 0

Answer:

Constant of proportionality should be 48.

Step-by-step explanation:

Given that a small pie factory needs to ship 360 pies a day to stay profitable. 180 pies are baked every 3 hours. Of the baked pies, 20% go directly to freezer storage and 80% are loaded on a truck for delivery.

Now we need to find about what is the constant of proportionality for the number of pies baked and loaded on a truck for delivery.

Number of baked pies = 180

Number of pies loaded on truck for delivery = 80% of baked pies

= 0.80(180)= 144 in 3 hours.

So number of pies loaded per hour = 144/3= 48

Hence constant of proportionality should be 48.

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When 5 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
wariber [46]

Answer:

-1

Step-by-step explanation:

You can write it as...

x^{2} -5=4x

Carry the 4x

x^{2} -4x-5=0

Then use the quadratic formula to solve, since you want to find the negative solution, you don't need to find the positive solution, so we will have

(4-\sqrt{16+20}) /2=\frac{4-6}{2}=\frac{-2}{2} =-1

Therefore our answer is -1

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MakcuM [25]

m = \frac{y2-y1}{x2-x1}

m = \frac{4-16}{-6-6} \\m = \frac{-12}{-12} \\\\m = 1

Therefore, the slope of the line is 1. In case if you want to know the equation.

y=mx+b\\y=x+b\\4=-6+b\\4+6=b\\10=b\\

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

y=mx+b\\y=x+b\\16=6+b\\16-6=b\\10=b\\

It's the same, you can use any orders given.

Overall, the slope is 1 and the equation is y=x+10

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Answer:

D. be congruent

Step-by-step explanation:

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Hope this helps chu

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Anuta_ua [19.1K]

Answer:

36,960

Step-by-step explanation:

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