1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergeinik [125]
3 years ago
8

Which is a complete list of factors of each term in the expression 15 + 20 x?

Mathematics
1 answer:
BigorU [14]3 years ago
3 0

Answer:

  A:

     15: 1, 3, 5, 15

     20x: 1, 2, 4, 5, 10, 20, x

Step-by-step explanation:

When finding divisors of a number, it is often convenient to start with the <em>prime</em> factors. Those may be raised to some power.

For the numbers here, the prime factors are ...

  15 = 3·5

  20 = 2²·5

One of the reasons this is useful is that each of these prime factors has an exponent. The number of divisors is the product of these exponents incremented by 1. That is, the number of divisors will be ...

  for 15: (1+1)(1+1) = 4

  for 20: (2+1)(1+1) = 6

Knowing this can help you make sure you have found all of the divisors. This number includes 1 and the number itself.

Then the divisors are ...

  15 ⇒ 1, 3, 5, 15 . . . . . . . . . . . 4 divisors

  20 ⇒ 1, 2, 4, 5, 10, 20 . . . . . 6 divisors

__

For the variables, it is a little hard to tell what is intended. At least, a list of the individual variables is required. Hence x is added to the list for 20x.

The "complete" list of factors is ...

  • 15: 1, 3, 5, 15
  • 20x: 1, 2, 4, 5, 10, 20, x

_____

<em>Further comment on variable factors</em>

If the variables were to be included in the divisor list the way the prime factors are, then we would first start by listing the prime factors:

 {2, 2, 5, x}

Then we would form the possible subsets:

  { }, {2}, {5}, {x}, {2, 2}, {2, 5}, {2, x}, {5, x}, {2, 2, 5}, {2, 2, x}, {2, 5, x}, {2, 2, 5, x}

and finally, form the products of the contents of these subsets:

  1, 2, 5, x, 4, 10, 2x, 5x, 10, 4x, 10x, 20x

Apparently, the answer choices for this question do not recognize 2x as a factor of the second term. The treatment for numbers is obviously different from the treatment for variables, but it is hard to tell what the rules for variables are from the answer choices here. (Consult your teacher and/or text.)

You might be interested in
Solve the inequality 47.75 + x &lt; 50 to determine how much more weight can be added to Li's suitcase without going
ehidna [41]

Answer:

Answer Choice A

Step-by-step explanation:

I took this assignment

(please give brainliest)

8 0
3 years ago
Read 2 more answers
If $20.18 Pesos is equal to $1 US dollar, tell me how much money Mr. P would have left if he had $100 US Dollars but spent $918
frozen [14]

Answer:

Conversion rates US Dollar / Mexican Peso

10 USD 209.37500 MXN

20 USD 418.75000 MXN

50 USD 1046.87500 MXN

100 USD 2093.75000 MXN

7 0
2 years ago
4. Find x if PQ = RS,<br> PQ = 9x - 7, and RS = 29.
Gnoma [55]

Answer:

x=4

Step-by-step explanation:

Because we know that PQ = RS, we can use the transitive property to replace PQ in the first equation with 29:

9x-7=29

1) Add 7 to both sides:

9x=36

2) divide by 9 on both sides:

x=4

4 0
3 years ago
Find the coordinates of the midpoint of the segment whose endpoints are R(9, 3) and S(-1, -9).
amm1812

Answer:

(4, -3 )

General Formulas and Concepts:

<u>Pre-Algebra I</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Midpoint Formula: (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )

Step-by-step explanation:

<u>Step 1: Define</u>

R (9, 3)

S (-1, -9)

<u>Step 2: Find midpoint</u>

  1. Substitute:                    (\frac{9-1}{2}, \frac{3-9}{2} )
  2. Subtract:                       (\frac{8}{2}, \frac{-6}{2} )
  3. Divide:                          (4, -3 )
4 0
2 years ago
Mr.mathis owes $269 on a auto loan. write an integer to represent this situation
Bogdan [553]
He has -269 dollars available, symbolizing he is in debt.
4 0
2 years ago
Other questions:
  • he theater club is hosting a one-act competition to raise $1,220 for new costumes. It plans to sell tickets for $8 each and woul
    12·2 answers
  • Tell whether the triangle with the given side lengths is a right triangle.
    15·1 answer
  • ♦HURRY PLEASE!!! ♦<br><br> ↓<br> Don't worry about the answer choice that is highlighted : )
    10·2 answers
  • What is the value of 11.5
    15·1 answer
  • 2. Raul and Josephine buy a plasma TV from Sparky’s Electronics on an installment plan
    5·1 answer
  • Please help fast<br> Question is below<br> v v v v v v
    9·2 answers
  • A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table t
    6·2 answers
  • PLZ HELP ME!!!!! NO LINKS!!!!!!!!!!
    8·1 answer
  • Please help with this question​
    14·1 answer
  • There are 15 boys and 13 girls in a class. what are the probabilities of choosing a boy? answer as decimal
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!