Johnathan has 2500 kg of sand delivered to a construction site every day. About how many tons of sand does he have delivered to the site after 4 weeks?

Answer 1

77 imperial tons or 70 metric tons

We have 2500kg of sand being delivered every day to a construction site for 4 weeks (let's assume delivery occurs every day and doesn't skip weekends). How much sand is that?

#2500(kg)/color(red)cancel(color(black)"day")(7color(red)cancel(color(black)"day")/color(red)cancel(color(black)"week"))(4color(red)cancel(color(black)"week"))=70,000kg#

Ok, so we now know the total amount of sand delivered expressed in kilograms. But we're asked for tons.

Depending on where you live, the term "ton" can mean either 2,000 pounds or 1,000 kilograms. So let's do it both ways. I'll differentiate the 2 by calling the 2,000 pounds one an "imperial ton" and the other I'll call a "metric ton".

First imperial ton - I'll do this by using a conversion to pounds first, then to tons:

#70,000color(red)cancel(color(black)(kg))((2.2color(red)cancel(color(black)"pounds"))/(1color(red)cancel(color(black)"kg")))((1"ton")/(2000 color(red)cancel(color(black)"pounds")))=77 "imperial tons"#

Now metric ton:

#70,000color(red)cancel(color(black)"kg")((1 "ton")/(1000 color(red)cancel(color(black)"kg")))=70 "metric tons"#
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Answer 2

To calculate the amount of sand delivered to the construction site after 4 weeks, we need to determine the total amount of sand delivered per day and then multiply it by the number of days in 4 weeks.

Given that Johnathan has 2500 kg of sand delivered to the site every day, we first convert this to tons. Since 1 ton is equal to 1000 kg, Johnathan receives (2500 , \text{kg} \div 1000 = 2.5 , \text{tons}) of sand per day.

Now, to find out how many tons of sand Johnathan receives in 4 weeks, we multiply the daily amount by the number of days in 4 weeks. There are (7 , \text{days/week} \times 4 , \text{weeks} = 28 , \text{days}) in 4 weeks.

So, (2.5 , \text{tons/day} \times 28 , \text{days} = 70 , \text{tons}) of sand delivered to the construction site after 4 weeks. Therefore, Johnathan has 70 tons of sand delivered to the site after 4 weeks.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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