Question

Which property of arithmetic is shown in the equation (6 + x) + 5 = 6 + (x + 5)? A. Commutative B. Associative C. Closure D. Distributive Priscilla's age is k years while Mary's age is b years. If Mary is 15 years older than Priscilla, which of the following statements is correct? A. 2k + b = 15 B. b - k = 15 C. k - b = 15 D. 2b + k = 15 Find the next two terms of the sequence: 2, 5, 10, 17, ......., ......... A. 24, 35 B. 26, 35 C. 26, 37 D. 27, 38 Given that x = 4, y = 7, evaluate 2xy + 3(x + y). A. 79 B. 89 C. 99 D. 109

          Which property of arithmetic is shown in the
equation (6 + x) + 5 = 6 + (x + 5)?
A. Commutative
B. Associative
C. Closure
D. Distributive
Priscilla's age is k years while Mary's age is b
years. If Mary is 15 years older than Priscilla,
which of the following statements is correct?
A. 2k + b = 15
B. b - k = 15
C. k - b = 15
D. 2b + k = 15
Find the next two terms of the sequence: 2, 5,
10, 17, ......., .........
A. 24, 35
B. 26, 35
C. 26, 37
D. 27, 38
Given that x = 4, y = 7, evaluate 2xy +
3(x + y).
A. 79
B. 89
C. 99
D. 109

Show more…

Which property of arithmetic is shown in the
equation (6 + x) + 5 = 6 + (x + 5)?
A. Commutative
B. Associative
C. Closure
D. Distributive
Priscilla's age is k years while Mary's age is b
years. If Mary is 15 years older than Priscilla,
which of the following statements is correct?
A. 2k + b = 15
B. b - k = 15
C. k - b = 15
D. 2b + k = 15
Find the next two terms of the sequence: 2, 5,
10, 17, ......., .........
A. 24, 35
B. 26, 35
C. 26, 37
D. 27, 38
Given that x = 4, y = 7, evaluate 2xy +
3(x + y).
A. 79
B. 89
C. 99
D. 109

Added by Alfred D.

Intermediate Algebra

Julie Miller, Molly O'Neill, Nancy Hyde 5th Edition

Chapter 0

Instant Answer

Solved by Expert Sarah Gift

08/27/2024

Step 1

The equation \( (6+x)+5=6+(x+5) \) demonstrates the Associative Property of Addition, which states that the way in which numbers are grouped does not change their sum. Answer: B. Associative Show more…

Show all steps

lock

Thanks for your feedback!

Play audio

Feedback

Powered by NumerAI

Sarah Gift and 91 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 Which property of rynthetic is shown in the equation? 6 plus x quantity plus 5 equals 6 plus quantity x plus 5.

00:09 So we are changing the grouping.

00:12 We first group 6 and x and x and 5, but the number still occur in the same order, 6 and 5, 6 then x and 5.

00:21 So commutative would mean that the order changed, so it's not that one.

00:24 Associate means the grouping changed and that is that one.

00:28 Okay.

00:28 Closure simply means that when i add real numbers, it's still real.

00:35 When i add integers, it's still integer.

00:37 That's not being displayed here.

00:39 Distributive would mean that when i multiply something times and sum, then i can just sum up the terms being multiplied.

00:48 So there's no multiplication going on here, so we don't have a distributive property.

00:53 Okay, and priscilla's ages k years while mary's age is b years.

00:57 If mary is 15 older than priscilla, which is the first, following statement is correct.

01:01 So mary b is equal to priscilla k plus another 15 years.

01:09 Okay, so let's see which of these is incorrect.

01:12 So 2k and 2b are not involved in this.

01:15 Okay, b minus k or k minus b equals to 15.

01:19 So i subtract the k over, then we would get b minus k is equal to 15.

01:25 So that's answer choice b...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later