Answer:
2/3
Step-by-step explanation:
1. add all the beads up together:
     20+10+30= 60
2. add the blue and yellow beads up:
     10+30= 40
3. put 40 over 60
     40/60 which equals 2/3
4. the final answer:
     2/3
 
        
             
        
        
        
Answer:
Amount of fencing: 32 feet
Amount of soil: 63 square feet
Step-by-step explanation:
Fencing: In a rectangle, the opposite side is the same length. So we do:
9+7+9+7 = <u>32 feet</u>
Soil: The soil is the area. Area is equal to length times width. Length is 9 and width is 7, so we do:
9 x 7 = <u>63 feet squared</u>
 
        
             
        
        
        
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:

where  is the number of months that Rachel has saved up money.
 is the number of months that Rachel has saved up money.
Dividing both sides by 35, we get the answer:

 
        
                    
             
        
        
        
Y-6=1/2(x-5) in slope intercept form
y-6=1/2x -5/2. multiply by 2 to remove fractions
2y-12=x-5. write in correct order
x - 2y = -7 standard form
        
             
        
        
        
The key calculation in this problem is figuring out <em>how many times 80 goes into 1,000,000</em>. I'll build up in steps here.
80 x 5 = 400. This gives us a building block on our way to 1,000,000. From here, we can go further and say that 400 x 5 = 2,000; that 2,000 x 5 = 10,000; and finally that 10,000 x 100 = 1,000,000. Altogether, starting from 80, that's
80 x 5 x 5 x 5 x 100 = 80 x 25 x 500 = <em>80 x 12,500</em>
So, since 80 goes into one million 12,500 times, it takes 12,500 minutes for the animal's heart to beat that 1,000,000 times.