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3 years ago

Which pair of expressions is equivalent using the Associative Property of Multiplication?

Mathematics

2 answers:

ehidna [41]3 years ago

8 0

Answer: $6(4a\cdot2)=(6\cdot4a)\cdot2$

Step-by-step explanation:

The associative property of multiplication says that when we multiply three or more than three real numbers, the product is always the same nevertheless of their regrouping by using parenthesis.

i.e. $a\cdot(b\cdot c)=(a\cdot b)\cdot c$

Hence, the right option is $6(4a\cdot2)=(6\cdot4a)\cdot2$

ki77a [65]3 years ago

6 0

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: 11 = 1 /3 : 6<br><br> plz help

GenaCL600 [577]

<h3>Let the number be x</h3>

$x:11 = \frac{1}{3} :6$

Divide the numbers

$\frac{x}{11} = \frac{ \frac{1}{3} }{6} \\ \frac{x}{11} = \frac{1}{18}$

Multiply all terms by the same value to eliminate fraction denominators

$11 \times \frac{x}{11} = 11 \times \frac{1}{18}$

Cancel multiplied terms that are in the denominator

$x = 11 \times \frac{1}{18}$

Multiply the numbers

$x = \frac{11}{18}$

<h2>Solved ✔︎</h2>

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Answer:

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Step-by-step explanation:

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a father is 5s years more than twice as old as his son. the difference in their ages is 25 years. How old is the father

swat32

In order to solve these sort of problems, we can set up 2 equations from the 2 statements.

$f = 5 + 2s \\ f - s = 25$
We can subsitute the value of f, our first equation, into the second equation and solve like this:
$5 + 2s - s = 25 \\ 1s + 5 = 25 \\ 1s + 5 - 5 = 25 - 5 \\ s = 20$
Then we put the the son's age, 20, back into one of our equations and solve for the other value.

$f = 5 + 2(20) \\ f = 40 + 5 \\ f = 45$
Thus, the father is 45 years old and the son is 20 years old.

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Afina-wow [57]

Answer:

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