How do you simplify 4+6(7x+7)

2 answers:

4 0

Alright!

To simplify 4 + 6(7x + 7), we must combine like terms. Right off the bat, we can see what we have to do thanks to the order of operations.

* original equation
4 + 6(7x + 7)

* alright, so - since we can't do anything in the parenthesis, we now have to see what we can do multiplication wise.
4 + 42x + 42

* alright, so we could multiply the two 7's by 6, but now what? well, we can't do anything else to the 42x because of the variable, so we have to now add 4 and 46!

and our simplified equation is... 42x + 46! =)

12345 [234]2 years ago

3 0

4+6(7x+7)
= 4 + 42x + 42
= 42x + 46

hope it helps

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katen-ka-za [31]

Answer:

750 < p < 1500

Step-by-step explanation:

The total cost of the affair for p attendees is ...

750 +2.25p

The average cost is that number divided by p. The answer choices suggest that "between" means that the cost per person cannot be 2.75 or 3.25. Applying the limits to the average cost, we get ...

2.75 < (750 +2.25p)/p < 3.25

2.75 < 750/p + 2.25 < 3.25 . . . . . . . . separating the fraction parts

0.50 < 750/p < 1.00 . . . . . . . . . . . . . . subtract 2.25

2 > p/750 > 1 . . . . . . . . . . . . . . . . . . . . . take the reciprocal*

1500 > p > 750 . . . . . . . . matches choice 4

_____

* Taking the reciprocals of numbers with the same sign reverses their order:

2 < 3 but 1/2 > 1/3

An alternate approach to the solution would be to multiply by p:

0.50p < 750 < 1.00p

To solve this requires it be made into two inequalities:

0.50p < 750 ⇒ p < 1500