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erik [133]
3 years ago
12

The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest hu

ndredth if needed. Find both unit rates. Which unit rate is typically used? Explain.
Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that in the weekly ad 5 pound bag of organic apples will cost 13.95 dollars

To find unit rate

Unit rate can be found in two ways either cost of 1 apple or no of apples for 1 dollars

I part:

5 apples = 13.95 dollars

1 apple = 13.95/5 (since direct variation)

Unit rate for one apple= 2.79 dollars

Part II:

13.95 dollars = 1 apple

1 dollar = 1/13.95 = 0.071

=0.07

But normally since apples are countable as 1,2 ... we use the first type of rate only unit rate per apple

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What are the steps to (3w^3+7^2-4w+3) and (w+3)
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<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> 
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Final result :<span> 3w3 + 7w2 - 4w + 3 over w + 3 </span>

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True or false? In a two-column proof, the right column contains a series of deductions.
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What is the opposite of 3.75 on a number line?​
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A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a cater
n200080 [17]

Answer:

The number of pies does the baker have left is 15.

Step-by-step explanation:

Given : A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a caterer buys one–sixth of his pies.

To find : How many pies does the baker have left?

Solution :

Let x be the number of pies does the baker have left.

According to question,

Number of pies buys,

One-fourth =\frac{1}{4}

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