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Brums [2.3K]
3 years ago
10

Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 an

d the product of the two numbers is 1.
Mathematics
1 answer:
Butoxors [25]3 years ago
5 0

a^3+b^3=(a+b)^3-3ab(a+b)\\\\a+b=4,\ ab=1\\\\\text{Substitute:}\\\\a^3+b^3=(4)^3-3(1)(4)=64-12=52

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The ratio of men to women in New York is 3:4. What is the fraction of men in NYC? A.  3/4 B.  1/4 C.  1/3 D.  3/7 
Bad White [126]
The question is not clear: the fraction of men to everyone in NYC will be 3/7
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There are 9 books eack book 3/4 of a pound which is the total weight of the books?
Pavel [41]

Total Weight = Weight of the book + Weight of the CD + Weight of the box

 

Total Weight = 1 1/4 pound + 1/5 pound + 3/10 pound

 

Total Weight = 5/4 + 1/5 + 3/10

 

To add these fractions, you need to put them over a common denominator.  To do that, find the least common multiple of 4, 5, and 10.  Below is a table of the multiples.  The least multiple they have in common is 20, shown in orange.  So use 20 as your least common denominator.

 

          1      2      3      4     5      6     7

4 x      4     8     12    16   20    24   ...

5 x      5    10    15    20   25    30   ...

10 x   10   20   30    40    50    60   ...

 

Can you finish it from here?

3 0
3 years ago
After plotting the data where x represents the length of the side of a polygon, and f(x) represents the area of the polygon, Jac
Zigmanuir [339]

Answer:

See the attachment

Step-by-step explanation:

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3 0
3 years ago
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Each packet of the cooking oil weighs 2/5th of a kilogram and one kilogram of the cooking oil costs $6.5. Sara went to the groce
Reika [66]

Answer:

C) $20.80

Step-by-step explanation:

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If 1 kg of cooking oil = $6.5

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Cross Multiply

1kg × $X = 2/5kg × $6.5

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Hence 2/5kg of oil cost $2.6

Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6

The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:

1 packet of oil = $2.6

8 packets of oil =

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Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80

7 0
3 years ago
Cody said that dividing a unit fraction by a whole number is the same as multiplying the unit fractions by a unit fraction with
LekaFEV [45]

Answer:

True

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We can prove it with an example.

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4 0
3 years ago
Read 2 more answers
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