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asambeis [7]
3 years ago
10

Use compatible numbers to estimate the quotient 5,514÷82

Mathematics
2 answers:
SpyIntel [72]3 years ago
6 0

Answer:

70.

Step-by-step explanation:

Given  : 5,514÷82

To find : use compatible numbers to estimate the quotient .

Solution : We have given 5,514÷82

Step 1: Find compatible numbers.

Compatible number : Compatible numbers are numbers that are close to the numbers they're replacing that divide evenly into each other.

Here, 5, 514

Estimate of  5, 514  is 5600.

Now estimate of 82 is 80.

Step 2: Divide the 5600 ÷ 80.

Step 3 : Cancel out zeroes

560 ÷ 8.

70.

So, the estimate of  5,514÷82 is 70.

Therefore, 70.

Sphinxa [80]3 years ago
5 0
The answer is 67 because 67 x 82 is 5,494 which us close to 5,514
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Answer:

13. 1/2, 5/8, 3/4

16. 7/12, 3/5, 2/3

Step-by-step explanation:

make them have the same denominator.

13) 1/2 x 4 = <u>4/8</u>, <u>5/8</u>, 3/4 x 2= <u>6/8</u>

16) Grab two fractions let's say 3/5 and 2/3

Multiply 3/5 denominator (5) with 2/3 numerator (2)

It's 10 and place it above the number you multiplied the numerator from so it's above 2/3.  Do it again but with 2/3 denominator (3) and 3/5 numerator (3). Multiply 3 and 3 you get 9. Place the 9 above 3/5. We know that 9 is less than 10 so 3/5 is less than 2/3. You can do this with any two fractions.

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3 years ago
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3 0
1 year ago
How many times does 9 go int 67
AnnZ [28]


°° Awesome question!

I'll show you how to solve this kind of question:

First, you can multiply 9 times any number to see if it's smaller than 67. If it is, it is OK to keep multiplying 9 by more numbers. Let's try this!

9 × 1 obviously equals 9, so we can keep going up.

9 × 2 = 18. Not quite there yet!

Sometimes it is OK for you to skip some numbers, Watch:

9 × 5 = 45. We can keep going. At this point you don't need to go backwards and do 9 × 3 or 9 × 4, because the products will only get farther away from 67.

9 × 6 = 54. We're getting closer!

Let's try to skip one number:

9 × 8 = 72 - HOLD UP! Oh no! We went over a little too much!

Let's try a number in between 6 and 8 - That would be 7, right?

9 × 7 = 63 - We were right on point! Obviously you can't multiply 9 by 8 again because you would get a bigger number - the 72.

__________________________________________________________

That was just one way to go about it, but there's another way, too!

You can divide 9 by 67 and see what you get. You may have a remainder, but you can just throw that out the window when we're all done:

9 ÷ 67 = 7.4444444444444444 The 4 just repeats on and on again, and we don't want that. So just throw those 4's out the window so you're left with 7.

Based on all this work, 9 goes into 67 7 times.

↑   ↑   ↑  Hope this helps! :D

4 0
3 years ago
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vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

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Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

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The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

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Answer:

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Step-by-step explanation:

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6 0
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