The sum of polynomials involves adding the polynomials
The other polynomial is 
The sum of the polynomials is given as:
One of the polynomials is given as:
Represent the other polynomial with Q.
So, we have:
Substitute the expressions for P and Sum
Make Q the subject
Evaluate like terms
Hence, the other polynomial is
Read more about polynomials at:
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Answer:
Mean is 84
Step-by-step explanation:
9514 1404 393
Answer:
replace recipe quantities:
1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5
Step-by-step explanation:
The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.
The numbers in the recipe (ignoring units or ingredients) are ...
1/4, 1/2, 1, 1 1/2, 2
Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.
1/4 × 5/2 = 5/8
1/2 × 5/2 = 5/4 = 1 1/4
1 × 5/2 = 5/2 = 2 1/2
(1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4
2 × 5/2 = 5
Then, to make the larger recipe, rewrite it with the quantities replaced as follows:
old value ⇒ new value
1/4 ⇒ 5/8
1/2 ⇒ 1 1/4
1 ⇒ 2 1/2
1 1/2 ⇒ 3 3/4
2 ⇒ 5
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For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes
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<em>Additional comment</em>
If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)
The probability of picking a nickel first would be: 4/10
The probability of picking a dime first would be: 6/10
The merchandise shop sells 80 CDs for every 1 vinyl record. We have to find how many vinyl records they are likely to sell if the merchandise shop sells 760 CDs:
80 CDs -------------------- 1 vinyl record
760 CDs --------------------- x vinyl records
---------------------------------------------------------
80 : 760 = 1 : x
80 x = 760
x = 760 : 80
x = 9.5 or 9 ( we need a whole number )
Answer: They are likely to sell 9 vinyl records.
