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denis-greek [22]
3 years ago
8

Find the greatest common factor of 15x 2 y 3 and -20x 3 yz.

Mathematics
2 answers:
vekshin13 years ago
7 0
Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get 
3x^2y. 
anastassius [24]3 years ago
4 0

Answer:

5x^{2} y

Step-by-step explanation:

A polynomial has a common factor when the same quantity, whether number or letter, is found in all terms of the polynomial.

We can express the terms as follows, and find their common factor.

15x^{2} y^{3}   =  5*5*5*x*x*y*y*ÿ

-20x^{3} yz = -5*5*5*5*x*x*x*y*z

In this way, you can find the elements common to both terms

5x^{2} y(3y^{2} )(-4xz)

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What are the primary colors?
lawyer [7]
Red, yellow, and blue.
6 0
2 years ago
Read 2 more answers
Find the 22nd term of the following sequence:<br> 5, 8, 11, ...<br> 63 <br> 71<br> 14<br> 68
Wittaler [7]

68 is the 22nd term of the following sequence.

<u>Step-by-step explanation:</u>

  • The given sequence is with the same common difference between the two consecutive number in the series thus it is said to be the  Arithmetic progression ( AP).
  • For finding the nth term in the AP we have a formula tn = a + (n-1) × d
  • Here a is the first term , n is the number of the term to be founded and d is the common difference between the two consecutive number in the series.
  • Thus here tn = 5 + ( 22 - 1 ) × 3.
  • On subtracting we get tn = 5 + (21 ) × 3
  • On multiplying we get tn = 5 + 63
  • After adding we get tn = 68. It is the 22nd term in the given series.
5 0
3 years ago
Justine and Meagan played a trivia game. Justine answered a question incorrectly and lost 7 points. Then Meagan answered correct
Nataliya [291]

Answer:

m = -j, or in this case, m=-(-7)

Step-by-step explanation:

Assuming that Justine's score is represented by j and Meagan's score is represented by m, we know that j will always be the opposite of m.

To represent opposite, we put a negative sign before the variable.

This makes the current number, even if it's negative, the opposite value.

Let's test it out.

Since Justine's score is -7, substituting it into the equation makes it  m=-(-7). We know that two negatives make a positive, so m=7.

Now let's assume Justine's score is 7. Plugging it into the equation, we get m=-(7). That's the same thing as m = -1(7), and -1 times 7 is -7.

Hope this helped!

8 0
3 years ago
(3+5)x7-[10+(45-15)\5]
Gelneren [198K]
Use\ PEMDAS\\\\(3+5)\times7-[10+\frac{(45-15)}{5}]=(8)\times7-(10+\frac{30}{5})\\\\=56-(10+6)=56-16=\boxed{\boxed{40}}
7 0
2 years ago
You order from a catalog the following office supplies: 10 boxes of paper, each box is 6 pounds and 36 boxes of pens, each box w
babymother [125]

$40.50 10 boxes at 6lbs = 60lbs

             36 boxes at 12 ounces = 432 ounces dived by 16(16 oz in a lbs)= 27 lbs

             60 lbs plus 27 lbs = 87 lbs total weight

 87lbs - 20lbs($12)= 67lbs - 30 lbs($10)= 37lbs x .50($.50 per pound)= $18.50

$12+$10+$18.50= $40.50

6 0
2 years ago
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