12x 5 =(4x 2 )(C)12, x, start superscript, 5, end superscript, equals, left parenthesis, 4, x, squared, right parenthesis, left parenthesis, C, right parenthesis C=

3x³

Step-by-step explanation:

Given the expression

12x^5 =(4x^2 )(C)

We are to find the value of C

Rewriting the equation will give;

(4×3)x²•x³ = 4x²C

4x²•3x³ = 4x²C

Divide both sides by 4x²

4x²•3x³/4x² = 4x²C/4x²

3x³= C

Hence the function C is 3x³

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.