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Drupady [299]
3 years ago
12

If a and b are positive integers, what is the value of the product ab ? the least common multiple of a and b is 48. the greatest

common factor of a and b is 4
Mathematics
1 answer:
rjkz [21]3 years ago
8 0
A and b have the greatest common factor 4, so suppose a=4x, b=4y
the least common multiple of 4x and 4y is 4xy, and 4xy=48, so xy=12
ab=4x*4y=16xy=16*12=192

(the integers are either 4 and 48 or 12 and 16, but that's not what is being asked here.)

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Give the degree of the polynomial <br> -3w+x^6y^5-2+5y^4w^3x^2
Jlenok [28]

Answer:

Here the degree of the polynomial is 11.

Step-by-step explanation:

To find the degree of the multivariate polynomials, we need to add up the powers of all the variables.   So the total degree is given by the sum of all the powers of the highest powers terms.

Now in the given polynomial -3w+x^6y^5-2+5y^4w^3x^2

the term with the highest total powers is x^6y^5 and thus the total power is 6+5=11.

And hence the degree of this polynomial is 11.

5 0
3 years ago
Farm has chickens and cows. All the cows have 4 legs and all the chickens have 2legs.
mixas84 [53]

Answer:

19 cows and 3 chickens

18 cows and 5 chickens

17 cows and 7 chickens

16 cows and 9 chickens

15 cows and 11 chickens

Step-by-step explanation:

For example, the first one

19 cows x 4 legs=76 legs and

3 chickens x 2 legs= 6 legs

4 0
2 years ago
Read 2 more answers
Two friends Ana and Juan are buying books by joining the History Book
Travka [436]

Answer:

Ana  spent $17  per book on average.

Juan  spent $14.78  per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

                                                 = $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana  spent $17  per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

                                                 = $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan  spent $14.78  per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

8 0
3 years ago
*Help ASAP Please! Studying for finals and I'm stuck on this question!*
Nezavi [6.7K]
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2

If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12

Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).

I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
8 0
3 years ago
How do you do this??????
slava [35]

Answer:

2:1

Step-by-step explanation:

There are 14 spoons (not sure what they are) and 7 eyes so it is 14:7

simplified it is 2:1

Hope this helps :)

4 0
3 years ago
Read 2 more answers
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