Answer:
x = 6
Step-by-step explanation:
An inverse variation is
xy = k where k is the constant of variation
8*9 = k
72 = k
xy = k
Let y = 12
x*12 = 72
Divide each side by 12
12x/12 =72/12
x = 6
Answer:
It would require 40 teaspoons
Step-by-step explanation:
Given that;
A cookie recipe requires 3 teaspoons of baking soda for 36 cookies
The amount of teaspoons of baking soda required per cookie is;
r = 3/36 teaspoons per cookie
So, for 480 cookies i would require;
N = r × 480 cookies
Substituting r, we have;
N = 3/36 teaspoons per cookie × 480 cookies
N = 40 teaspoons
It would require 40 teaspoons
The new size of cube's side is 6. V new cube = 6*6*6 = 216
The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
<h3>Inequalities </h3>
From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle
From the given information,
Line DE is about half the length of line DF
That is,
ED = 1/2 DF
Also,
Line FE is about one-third of the length of line DF
That is,
EF = 1/3 DF
Then, we can write that
ED + EF = 1/2DF + 1/3DF
ED + EF = 5/6 DF
Since,
5/6 DF < DF
Then,
ED + EF < DF
Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
Learn more on Inequalities here: brainly.com/question/1447311
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