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NemiM [27]
3 years ago
14

A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags of sand (b)

can also be carried by the hot air balloon? CHECK ALL THAT APPLY. I already know that 8 is one of them!
–4
–2
0
5
8
10

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
3 0
140+20b≤300  subtract 140 from both sides

20b≤160  divide both sides by 20

b≤8

Also note that you cannot have negative bags either as that would make no sense. So:

0≤b≤8

So 0, 5, 8 are the three values that apply to this situation.
lions [1.4K]3 years ago
3 0

Answer:

0

5

8

Step-by-step explanation:

answer in the picture

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3y\geqx-9\qquad|:3\\\\y\geq\dfrac{1}{3}x-3\\\\3x+y > -3\qquad|-3x\\\\y > -3x-3

\left\{\begin{array}{ccc}y\geq\dfrac{1}{3}x-3\\\\y > -3x-3\end{array}\right


y=\dfrac{1}{3}x-3\\\\for\ x=0\to y=\dfrac{1}{3}(0)-3=-3\to(0,\ -3)\\\\for\ x=3\to y=\dfrac{1}{3}(3)-3=1-3=-2\to(3,\ -2)\\\\y=-3x-3\\\\for\ x=0\to y=-3(0)-3=-3\to(0,\ -3)\\\\for\ x=-1\to y=-3(-1)-3=3-3=0\to(-1,\ 0)

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solid line. we shade above the line

y > -3x-3

the dotted line. shadow above the line

Answer in the attachment (the first graph).

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Step-by-step explanation:

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