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marusya05 [52]
2 years ago
14

The marching band walks 1/15 miles in 1.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your a

nswer on the grid. Then fill in the bubbles
Mathematics
1 answer:
ipn [44]2 years ago
6 0

Answer:

It will take 22.5 minutes to complete 1 mile

Step-by-step explanation:

From the question,

The marching band walks 1/15 miles in 1.5 minutes

First we will determine the miles cover in 1 minute

If the marching band walks 1/15 miles in 1.5 minutes

then, they will cover x miles in 1 minute

x = \frac{1/15 * 1}{1.5}\\

Then,

x = \frac{1/15 }{1.5}

x = 2/45 miles

∴ 2/45 miles are covered in 1 minute

Now,

If 2/45 miles are covered in 1 minute

Then, 1 mile will be covered in y minute

y = \frac{1 * 1}{2/45}

y =\frac{1}{2/45} \\y = \frac{45}{2}\\

∴ y = 22.5 minutes

Hence, it will take 22.5 minutes to complete 1 mile

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How many 5-digit numbers are there that are divisible by either 45 or 60 but are not divisible by 90?
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Answer:

2500 numbers

Step-by-step explanation:

Problem;

 Solving for the number of 5-digit numbers divisible either by 45 or 60 but not divisible by 90;

 Let us approach this in a step wise manner;

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To solve this problem, let us find the number of digits that are divisible by 45;  

  the first number divisible by 45 within this range is 10035

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The total number in this range is:

           \frac{last number - first number}{increment}  + 1  = \frac{99990 - 10035}{45}  + 1

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To solve this problem, let us find the number of digits that are divisible by 60;  

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   the last number divisible by  in this range is 99960

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\frac{99990 - 10080 }{90}

The total number in this range is:

               \frac{last number - first number}{increment}  + 1  = \frac{99960 - 10020}{60}  + 1  

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   the last number divisible by  in this range is 99990

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The total number in this range is:

         \frac{last number - first number}{increment} + 1  = \frac{99990 - 10080}{90} + 1

                                                  = 1000 numbers

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  Number of 5 digits  = number of 45  + number of 60 - number of 90

                                       = 2000 + 1500  - 1000

                                        = 2500 numbers

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