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KiRa [710]
3 years ago
10

The gross weight of a truck containing 30 pigs is 8 tons 1,123 pounds and 6 ounces. The average weight of one pig is 95 pounds 1

0 ounces. Find the following: a.The net weight of the pigs in the truck. b. The weight of the empty truck.

Mathematics
1 answer:
NikAS [45]3 years ago
4 0

Answer:

  • a) 2868 lbs 12 oz
  • b) 7 tons 254 lbs 10 oz

Step-by-step explanation:

a) There are 16 ounces in a pound, so 10 ounces is 10/16 = 5/8 lb. The total weight of the pigs is their number multiplied by their average weight:

... weight of pigs = 30 × 95 5/8 lb = ((30·95) + (30·5/8)) lb

... = (2850 + 150/8) lb = (2850 +18 3/4) lb = 2868 lb 12 oz

b) The truck tare weight is the gross weight less the weight of the pigs.

... truck tare = truck gross - truck load

... = (8×2000 lb) + (1123 lb) + (6/16 lb) - (2868 3/4 lb)

... = 17123 3/8 lb - 2868 3/4 lb = (17123 -2868) lb +(3/8 -3/4) lb

... = 14255 lb - 3/8 lb

... = 14254 5/8 lb

... = 14000 lb + 254 lb + 5/8 lb

... truck tare weight = 7 tons 254 lbs 10 oz

_____

Many graphing calculators will handle calculations with fractions very nicely.

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PLEASE HELP LAST QUESTION
igomit [66]

ANSWER:

a) y = 15x + 75

b) 50 weeks

EXPLANATION:

P A R T   A

2 weeks, 105 dollars --> (2, 105)

5 weeks, 150 dollars --> (5, 150)

<u />

<u>if we use slope intercept form (y=mx+b), we must:</u>

1) find the slope

y2 - y1 -->> 150 - 105 = 45

x2 - x1 -->> 5 - 2 = 3

45/3 = 15

2) find the y intercept

y = 15x + b -->> 150 = 15 (5) + b -->> 150 = 75 + b -->> 75 = b

--------------------------------------------------------------------------------------------

P A R T   B

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