Gabriel and his sister have arrived at expressions that give the same result when evaluated (except on some computers for some values of x and y*). We have no basis for deciding which of the two equivalent expressions is "correct."

The distributive property lets you "collect terms" by adding the coefficients of terms with the same variable:

x + x + 0.5x = x(1 + 1 + 0.5) = 2.5x . . . . for example

When we collect terms in the sister's expression, we find it is identical to Gabriel's expression.



* About computer evaluation

The internal representation of numbers in binary computers is such that many numbers cannot be represented exactly. As a consequence, the order in which numbers get added can make a difference in the resulting value. In some cases, it may be preferable to compute x+x+0.5x, rather than 2.5x. This can depend, too, on the precise computer language used and the manner in which it is translated to the machine language actually exe

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.

mississippi is the answer

i hope i rawr xd