Which graph best represents the solution set of y> 5/3 x+2

Anna007 [38]

Since 7= 21/3 and you are subtracting 8/3, you subtract 8 from 21. That gives you 13/3 or 4 1/3 depending on how you look at it.

5 0

3 years ago

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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

luda_lava [24]

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.

8 0

4 years ago

What is the area of this trapezoid?

Sonja [21]

Answer:

$\boxed{Area \: of \: trapezoid = 126 \: {in}^{2}}$

Given:

AB = 12 in.

DF = 2 in.

FE = 12 in.

EC = 2 in.

BE = 9 in.

Step-by-step explanation:

$Area \: of \: trapezoid = \frac{1}{2} (sum \: of \: parallel \: sides) \times height$

Parallel sides are:

AB = 12 in

DC = DF + FE + EC

= 2 + 12 + 2

= 16 in.

Height:

BE = 9 in.

$Area \: of \: trapezoid = \frac{1}{2}(12 + 16) \times 9 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2 } \times 28 \times 9 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 14 \times 9 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 126 \: {in}^{2}$