Answer: 7/12
Step-by-step explanation:
From the question, we are told that Chelsea plays soccer 4/12 of the year and swims 3/12 of the year before taking a break from playing sports.
The fraction of the year that Chelsea spend participating in sports will be the addition of the fraction used for playing soccer and the fraction use for swimming. This will be:
= 4/12 + 3/12
= 7/12
 
        
             
        
        
        
3.5 times as much flour as chocolate chips....
f = 3.5c
f = 1 3/4 (or 1.75)
1.75 = 3.5c
1.75 / 3.5 = c
0.5 = c......chocolate chips needed would be 1/2 a cup
        
             
        
        
        
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:

w(2w + 3) = 9
From this, we get that:

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
 .
.
This polynomial has roots  such that
 such that  , given by the following formulas:
, given by the following formulas:
 
 
 
In this question:


Thus a quadratic equation with 
Then

 

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958
 
        
             
        
        
        
Answer:
SORRY I DID NOT UNDERSTAND
 
        
             
        
        
        
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.