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a truck that can carry no more than 6400 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 250 lb and each piano weighs 475 lb. Write and graph an inequality to show how many refrigerators and how many pianos that truck could carry . WIll 12 refridgerators and 8 pianos overload the truck? Explain.

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survivalyosh
I'm not going to do the entire question, but I'll do the first part.

For the first part, you have to set up an inequality. Use context clues, such as no more than (the one used in this sentence) to figure out what the symbol should be for the inequality.
In this case, because it is NO MORE THAN 6400, it would be:

6400[tex] \leq[/tex]250r + 475p

where r represents the # refrigerators, and p represents the # pianos


Now that you have the equation, make the graph, then for the 3rd part, plug in 12 and 8 to r and p to see if it keeps the inequality true.

Hope this helps! :)

Answer: 250 r+ 475p≤ 6400

12 refrigerators and 8 pianos will overload the truck.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • Truck capacity: 6400 (no more than means that the weight of the products must be equal to 6400 lbs or less)
  • Weight of one piano: 475
  • Weight of one refrigerator: 250

So, the inequality that represents this case is :

250 r+ 475p≤ 6400

Where:

r = number of refrigerators

p = number of pianos

For 12 refrigerators and 8 pianos we simply replace the values:

250 (12) + 475 (8) ≤ 6400

3000+3800≤ 6400

6800≤ 6400

6800 lbs will overload truck.  Because 6800lbs exceeds the capacity of the truck.(6400 lb)

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