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asambeis [7]
4 years ago
15

You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is

1 ft:1.47 cm.
If a toothpick is 6.3 cm tall, how many toothpicks tall will your model be?

Answer: The model will be 6 toothpicks tall.

Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.5 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.

The model will be approximately how many cotton swabs tall?
Mathematics
1 answer:
adelina 88 [10]4 years ago
8 0

Alright, let's begin! We start with 37.8 and then divide it with..7.6! Now, we try to get the answer of that.

37.8 ÷ 7.6 = 4.973.

However, we need to bring it down to an estimate. It would then be 4.97. Although, we need to also see if our answer is correct.

4.97 × 7.6 = 37.7

There is more answers closer to the number but this should be the correct answer due to it being the answer of all the steps I used.

But wait! We need the round the answer to the nearest whole number. So, it would be 38.

So, overall, it will be 38 cotton swabs tall.

Hope this helps!

If you are needing any other help, tell me in the comments below this answer! If you want any contact tell me and I'd be glad to help.

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What are the steps to (3w^3+7^2-4w+3) and (w+3)
Crazy boy [7]
<span>Equation at the end of step  1  :</span><span> <span> Step  2  :</span></span><span>Equation at the end of step  2  :</span> <span> Step  3  :</span><span> 3w3 + 7w2 - 4w + 3 Simplify /  w + 3 </span>Checking for a perfect cube :

<span> 3.1 </span>  <span> 3w3 + 7w2 - 4w + 3</span>  is not a perfect cube

Trying to factor by pulling out :

<span> 3.2 </span>     Factoring: <span> 3w3 + 7w2 - 4w + 3</span> 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -4w + 3 
Group 2: <span> 3w3 + 7w2</span> 

Pull out from each group separately :

Group 1:   (-4w + 3) • (1) = (4w - 3) • (-1)
Group 2: <span>  (3w + 7) • (w2)</span>

<span>Bad news !! Factoring by pulling out fails :

</span>The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

<span> 3.3 </span>   Find roots (zeroes) of :      <span> F(w) = 3w3 + 7w2 - 4w + 3</span>
Polynomial Roots Calculator is a set of methods aimed at finding values of  w  for which   F(w)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  w  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is <span> 3.

 </span>The factor(s) are:

of the Leading Coefficient : <span> 1,3
 </span>of the Trailing Constant : <span> 1 ,3

 </span>Let us test ....

<span><span>  P   Q   P/Q   F(P/Q)    Divisor</span><span>     -1     1      -1.00      11.00   </span><span>     -1     3      -0.33      5.00   </span><span>     -3     1      -3.00      -3.00   </span><span>     1     1      1.00      9.00   </span><span>     1     3      0.33      2.56   </span><span>     3     1      3.00      135.00   </span></span>


Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

<span> 3.4 </span>   Polynomial Long Division
Dividing : <span> <span>3w3 + 7w2 - 4w + 3</span> 
                              ("Dividend")
</span> By         :   <span> w + 3    ("Divisor")
</span>

<span><span>dividend <span> 3w3 </span>+<span> 7w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* 3w2</span> </span> <span> 3w3 </span>+<span> 9w2 </span>    </span><span>remainder  -<span> 2w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* -2w1</span> </span>  -<span> 2w2 </span>- 6w   </span><span>remainder      2w + 3 </span><span>- divisor<span> <span>* 2w0</span> </span>      2w + 6 </span><span>remainder      - 3 </span></span>

Quotient : <span> <span>3w2 - 2w + 2</span> 
</span> Remainder : <span> -3 
</span>

Final result :<span> 3w3 + 7w2 - 4w + 3 over w + 3 </span>

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4 years ago
29. Write iſ as an improper fraction, and multiply the
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Answer: 29 = 5/6

Step-by-step explanation:

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4 0
3 years ago
A weight-loss clinic advertised that last month its patients, on average,8lb lost . Assuming that average refers to the mean, wh
Ipatiy [6.2K]

Answer:

Given:

A weight-loss clinic advertised that last month its patients, on average, lost 8 lbs

Average refers to mean

a. Last month all of their patients lost at least 8 lbs.

Answer: Mean or average is a measure of central tendency or in other terms refers to the central value of the dataset. If the value of mean/average is 8lb, it signifies that there are some patients who have lost weights more than 8 lbs. So, this statement is False

b. Last month at least one of their patients lost exactly 8 lbs.

Answer: It is a possibility that all the patients have lost their weights greater than or less than 8 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost exactly 8lbs. So, this statement is False.

c. Two months ago some of their patients lost at least 8 lbs.

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e. Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs.

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7 0
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