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vagabundo [1.1K]
3 years ago
12

Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅

4) = (3a ⋅ 4) ⋅ 5 5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4 5(3a ⋅ 4) = 5 ⋅ 3a ⋅ 4 6
Mathematics
2 answers:
cluponka [151]3 years ago
8 0

Answer:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Step-by-step explanation:

The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.

In this sense, the associative property for the sum is mathematically given by:

(x+y)+z=x+(y+z)

and for the multiplication by:

(xy)z=x(yz)

Now, let:

x=5\\y=3a\\z=4

Using the Associative Property of Multiplication:

(xy)z=x(yz)\\\\Replacing\hspace{3}the\hspace{3}values\\\\(5\cdot 3a)\cdot4=5(3a\cdot 4)

Therefore the equivalent expressions are:

5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4

Grace [21]3 years ago
4 0
I'm pretty sure is 5 5(3a . 4)=(5.3a)
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Step-by-step explanation:

2v ÷ e + 3

we want to find the value of the expression when v = 10 and e = 5

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2v ÷ e + 3

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Vika [28.1K]

\longrightarrow{\mathfrak{\frac{-9}{6}÷\frac{3}{-2}}}

\longrightarrow{\sf{\frac{-\cancel{9}}{\cancel{6}}\times\frac{-\cancel{2}}{\cancel{3}}}}

\longrightarrow{\sf{\frac{3}{3}}}

\longrightarrow{\boxed{\bf{1}}}

Identity applied -

\star{\:\:\:\:\:\:\boxed{\bf{\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}}}}

4 0
3 years ago
Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the numb
kipiarov [429]

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

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