which phrase represents the algebraic expression 3p+6/7p-9

the sum of six times a number and three, multiplied by the difference of nine times the number and seven
the sum of six times a number and three, divided by the difference of nine times the number and seven
the sum of three times a number and six, multiplied by the difference of seven times the number and nine
the sum of three times a number and six, divided by the difference of seven times the number and nine

Respuesta :

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

The phrase is (3p+6)/(7p-9)
Let's describe each factor:
3p is three times a number
7p is seven times a number

3p+6 is the sum of three times a number and six
7p-9 is the difference of seven times the number and nine

The last two factors are divided, so
(3p+6)/(7p-9) is the sum of three times a number and six, divided by the difference of seven times the number and nine

Option - D is correct.

In phrase we can write the expression as - the sum of three times a number and six, divided by the difference of seven times the number and nine.

We have the following algebraic expression -  3p+6/7p-9

We have to express it in the form of a phrase.

Rewrite the algebraic expression as a phrase  -  x + y > 5

In the phrase form, we can write the above expression as -

the sum of two numbers x and y is greater than 5.

According to the question -

We have -

f(p) = 3p + 6 / 7p - 9

3p + 6 = the sum of three times a number and six.

7p - 9 =  the difference of seven times the number and nine.

Combining we get -

f (p) = 3p + 6 / 7p - 9 = the sum of three times a number and six, divided by the difference of seven times the number and nine

Hence, Option D is correct.

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