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Vilka
2 months ago
12

A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft, and it weighs 50 lbs. T

he second product's unit volume is 3 cu ft, and it weighs 40 lbs. If the company's trucks have 2300 cu ft of space and can carry 21,000 lbs., how many units of each can be transported in a single shipment with one truck?
Mathematics
1 answer:
Zina [12.3K]2 months ago
8 0
116 units of the first product and 380 units of the second product. Product 1 has a volume of 10 cu ft, while product 2 has a volume of 3 cu ft. The truck has a capacity of 2300 cu ft. Product 1 weighs 50 lbs and product 2 weighs 40 lbs, with the truck able to handle 21,000 lbs. Let X represent the units of product 1 and Y represent the units of product 2. The equations to solve are 10X+3Y=2300 and 50X+40Y=21000. Solving these equations gives us 116 for product 1 and 380 for product 2.
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Mike ran 2 km in 13 minutes.  If he continues at this same pace, how long will it take Mike to run 7 km?  Round your answer to t
PIT_PIT [12445]

Answer:

46 minutes.

Step-by-step explanation:

Running 2 km in 13 minutes translates to 6 minutes and 30 seconds per km.

minutes: 6 x 7 = 42

seconds: 30 x 7 = 210

second part: 210/60 = 3 minutes 30 seconds

adding everything together: 42 minutes + 3 minutes 30 seconds + 45 minutes 30 seconds, rounded equals 46 minutes

5 0
1 month ago
on a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on
Zina [12379]
In part one, the scale states that 1 on the map correlates to 100,000 in reality. Therefore, a distance of 12 cm on the map translates to (12 cm)(100,000) in real terms, giving us 12 cm equating to 1,200,000 cm. Since each meter equals 100 cm, thus the real distance is calculated as 1,200,000 cm divided by 100 cm/m, resulting in 1,200 m. Further, this equals 1.2 km when converted to kilometers. In the second part, the scale shows 1 on the map corresponding to 300,000 in the real world. So, 12 cm on this map translates to (12 cm)(300,000), resulting in 12 cm equating to 3,600,000 cm. As before, dividing this by 100 cm/m gives 3,600 m, and converting this to kilometers results in 3.6 km. Notably, 300,000 is three times 100,000, suggesting that the real distance here is also tripled in comparison, with the first scenario being 1.2 km and the second being 3.6 km, giving the final answer as 3.6 km, 3,600 m, or 3,600,000 cm.
5 0
2 months ago
Read 2 more answers
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