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3 years ago

Please answer this box for me i need a lot of help

Mathematics

2 answers:

stira [4]3 years ago

8 0

Answer: 12

Step-by-step explanation: the denominator is the bottom number, so 6 and 4. The smallest number they BOTH have in common is 12. Hope this helps :)

aleksklad [387]3 years ago

6 0

Answer:

The least common denominator would be 12.

Step-by-step explanation:

Because if you look at each row of multiples, 12 is the smallest number that they both have in common.

See for your self:⤵⤵⤵

1/6 ➡ 6 12 18 24 30

3/4 ➡ 4 8 12 16 20

Hope this helps :)

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Factor 48m + 42n to identify the equivalent expressions

Ksenya-84 [330]

The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

Solution:

Given that, we have to factor the given expression

Given expression is:

48m + 42n

The equivalent expressions can be found by factoring out the common factors of 48 and 42

Let us first find the factors of 48 and 42

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Thus the common factors are: 1, 2, 3, 6

Let us factor out 2 from given expression

$48m + 42n = 2(24m+21n)$

Now factor out 3 from given expression

$48m + 42n = 3(16m + 14n)$

Now factor out 6 from given expression

$48m+42n=6(8m + 7n)$

Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

7 0

3 years ago

To add 20.4 + 3.75 + 4.25, Crystal first added 3.75 and 4.25. Which property did Crystal use to add mentally?

evablogger [386]

Answer:

Associative Property of Addition

Step-by-step explanation:

From the list of given options, option A correctly answers the question and this is because

$a + b + c = a + (b + c)$ --- (1)

$a + b + c = (a + b) + c$ --- (2)

The above illustrations only apply to Associative Property of Addition

In Crystal's case:

$20.4 + 3.75 + 4.25 = 20.4 + (3.75 + 4.25)$

This can be compared to (1) above

Hence;

Option A answers the question

3 0

3 years ago

Which BEST explains the expression x( y z + 1 2 )? A) x depends on ( y z + 1 2 ). B) ( y z + 1 2 ) depends on x. C) x and ( y z

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Answer:

D) x and ( y z + 1 2 ) are independent of each other

Step-by-step explanation:

Assuming this is not intended to be describing a function named x with an argument of yz+12, the variables in any expression are assumed to be independent of each other, unless additional information is provided showing their dependencies.

Here, there is no such additional information, so we must assume ...

x and (yz +12) are independent of each other

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Additional comment

The assumption stated in the answer is intended to ensure we're not concerned with something of the form ...

g(x)

which is an expression saying 'g' is dependent on 'x'. If we know 'g' is a function name, then g(yz+12) will make 'g' be dependent on (yz+12).

Similarly, if x(a) is intended to mean that x is a function of 'a', then the corresponding x(yz+12) will mean that x is dependent on (yz+12). This would be quite unusual, since letters toward the end of the alphabet are usually used for variable names, while letters in the middle of the alphabet are used for function names.

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Step-by-step explanation:

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