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sammy [17]
3 years ago
9

Use the indicated properties of realnumbers to complete the blanks of the following statements.

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

13. 50+43=43+50

14. 5+(7+6)=(5+7)+6

15.  -15+0=0-15=-15

16.  \frac{3}{4}*\frac{4}{3}=1

17. 25*4=4*25

Step-by-step explanation:

Let "a", "b", and "c" real numbers.

- Commutative Property of Addition states that:

 a+b=b+a

- Associative Property of Addition states that:

(a+b)+c=a+(b+c)

- Additive Identity Property states that:

a+0=0+a=a 

- Commutative Property of Multiplication states that:

a*b=b*a

- Multiplicative Inverse Property states that:

a*\frac{1}{a}=1    (a\neq 0)

Knowing these properties, we can solve the exercise:

13. By the Commutative Property of Addition:

50+43=43+50

14. By the Associative Property of Addition:

5+(7+6)=(5+7)+6

15. By the Additive Identity Property:

-15+0=0-15=-15

16. By the Multiplicative Inverse Property:

\frac{3}{4}*\frac{4}{3}=1

17. By the Commutative Property of Multiplication:

25*4=4*25

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There are 500 students in a high school senior class. Of these 500 students, 300 regularly wear a necklace to
andre [41]

Answer:

<u>1. P(N) =  3/5</u>

<u>2. P(R) =  2/5</u>

<u>3. P(N and R) = 1/4</u>

<u>4. P(N or R) = 3/4</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of students in a high school senior class = 500

Number of students that regularly wear a necklace = 300

Number of students that regularly wear a ring = 200

Number of students that wear a necklace and a ring = 125

2. What is P(N), the probability that a senior wears a necklace?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)

<u>P(N) =  3/5</u>

3. What is P(R), the probability that a senior wears a ring?

Substituting with the real given values:

P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)

<u>P(R) =  2/5</u>

4. What is P(N and R), the probability that a senior wears a necklace and a ring?

Substituting with the real given values:

P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)

<u>P(N and R) = 1/4</u>

5. What is P(N or R), the probability that a senior wears a necklace or a ring?

P(N or R) = P(N) + P(R) - P(N and R)

Substituting with the real given values:

P(N or R) = 3/5 + 2/5 - 1/4

P(N or R) = 5/5 - 1/4

P(N or R) = 1 - 1/4

<u>P(N or R) = 3/4</u>

5 0
3 years ago
Can you answer these please! I really need help! And I'm so not even joking only 16 17 18 and 19
frozen [14]
16.) 38.25= 4.25h
divide by 4.25 on both sides
       h=9
17.)214= 1/3x
divide by 1/3 on both sides
x= 642
18.)70= 2x
divide by 2 on both sides
x=35
19.)18.69= 5.25+1.68x
subtract 5.25 on both sides
13.44=1.68x
divide by 1.68 on both sides
x=8
4 0
3 years ago
What is (4x + 2) - (2x + 1)?
daser333 [38]
2x + 1

You can find that by switching the signs in the second set of parenthesis and then adding. 
7 0
3 years ago
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