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Anarel [89]
4 years ago
10

A construction company needs to remove 4 1 6 tons of dirt from a construction site. They can remove 8 9 tons of dirt each hour.

What is the total number of hours it will take to remove the dirt
Mathematics
1 answer:
andre [41]4 years ago
8 0

Answer:4.674hours

Step-by-step explanation:

1hr-89tons

24hrs-xtons

X=24×89

X=2136tons

24hrs-2136tons

Yhr-416tons

Y=24×416\2136

Y=4.674hrs

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Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l
Bezzdna [24]

Answer:

43,200 serial numbers can be generated

Step-by-step explanation:

The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many serial numbers can be generated

3 letters, from the first five of the alphabet

3 digits, from a set of 10

So

T = P_{5,3}*P_{10,3} = \frac{5!}{(5-3)!}*\frac{10!}{(10-3)!} = 43200

43,200 serial numbers can be generated

8 0
3 years ago
For one History test, Keith had to answer 40 questions. Of these 40 questions, Keith answered 28 of them correctly. What percent
muminat

Answer:

Keith scored 70% on the History test.

Step-by-step explanation:

We have been given that for History test, Keith had to answer 40 questions. Of these 40 questions, Keith answered 28 of them correctly.

To find the percentage Keith got on History test, we will have to figure out 28 is what percent of 40.

\text{Percentage scored by Keith on History test}=\frac{28}{40}\times 100

\text{Percentage scored by Keith on History test}=0.7\times 100

\text{Percentage scored by Keith on History test}=70

Therefore, Keith scored 70% on the History test.

5 0
4 years ago
5) A theatre can be rented for different hours. The cost is $100 for deposit and $200 per hour. Write a function rule to find th
IgorLugansk [536]

Answer:

Step-by-step explanation:

Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:

= 100 + 200(n)

= 100 + 200n

The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:

= 100 + 200n

= 100 + 200(4)

= 100 + 800

= $900

6 0
3 years ago
What is 5 over 3 to the -2 power
dybincka [34]
Five over there to the power of negative two is
Three squared over five squared
Which is 9 over 25
6 0
3 years ago
What is 20 + 5 + 2 + 3 + 1 minus 1 ​
Yuri [45]

20 + 5 + 2 + 3 + 1 minus 1 =30

4 0
3 years ago
Read 2 more answers
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