For a chinese new year celebration, james and zhou are making a dragon costume similar to the one shown above.

in total, the costume requires 56.6 meters of fabric. zhou already has 15 meters of fabric, and james just purchased 17.6 meters of fabric. how much more fabric is needed for the costume?
a.
39 meters
b.
25 meters
c.
24 meters
d.
32.6 meters

C. 24 meters

Step-by-step explanation:

Given:

Total length of fabric required for the costume = 56.6 m

Length of fabric Zhou already has = 15 m

Length of fabric James just purchased = 17.6 m

To find how much more length of fabric is required to make the complete costume.

Solution:

Let the length of fabric in meters still required be  =

The total length can be given as :

⇒

⇒

The total fabric required = 56.6 m

So, the equation to find will be:

Subtracting both sides by 32.6

∴

Thus, 24 meters of fabric is still required to make the costume.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.