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zhannawk [14.2K]
3 years ago
15

Which of the following statements demonstrates the associative property of multiplication?

Mathematics
2 answers:
Oxana [17]3 years ago
8 0

Answer:

The correct answer is : 4 · (3 · 6) = (4 · 3) · 6

Step-by-step explanation:

Associative property of multiplication ;

(a\times b)\times c=a\times (b\times c)

So, from the given statements, statement which demonstrates the associative property of multiplication is :

4 · (3 · 6) = (4 · 3) · 6

4\times (3\times 6)=(4\times 3)\times 6

4\times 18 =12\times 6

96 = 96

diamong [38]3 years ago
4 0
The last one. I hope I helped!   :)

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\bold{FIRST\ you\ have\ to\ DISTRIBUTE}

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MS. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts so
puteri [66]

x - 3y = 6 and x + y = 110 represents the system of equations used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week

number of CDs Kitts sold last week "x" is 84 and number of CDs she sold this week "y" is 26

<h3><u>Solution:</u></h3>

Let "x" be the number of CDs Kitts sold last week

Let "y" be the number of CDs she sold this week

<em><u>Given that Last week she sold 6 more than 3 times the number of CDs that she sold this week</u></em>

Number of CDs Kitts sold last week = 6 + 3(number of CDs that she sold this week)

x = 6 + 3y ----- eqn 1

x - 3y = 6 ------- eqn 2

<em><u>Given that Ms. Kitts sold a total of 110 CDs over the 2 weeks</u></em>

Number of CDs Kitts sold last week + number of CDs she sold this week = 110

x + y = 110 ----- eqn 3

Thus eqn 2 and eqn 3 represents the system of equations used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week

<em><u>Let us solve the above equations to find values of "x" and "y"</u></em>

Substitute eqn 1 in eqn 3

6 + 3y + y = 110

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<h3>y = 26</h3>

From eqn 3,

x + 26 = 110

x = 110 - 26 = 84

<h3>x = 84</h3>

Thus number of CDs Kitts sold last week = x = 84

Number of CDs she sold this week = y = 26

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