1. The information given in the problem is:
 - <span>The length of a rectangular garden is 8 feet longer than the width.
 - </span><span>The garden is surrounded by a 4-foot sidewalk.
 - The area of the sidewalk is 320 ft</span>².
 2. So, the length of the rectangular garden is:
 L1=8+W1
 3. The formula for calculate the area of the sidewalk, is:
 A2=L2xW2
 "A2" is the area of the sidewalk (A2=320 ft²).
 "L2" is the length of the sidewalk.
 "W2" is the widht of the sidewalk.
 4. The length of the sidewalk (L2) is:
 L2=L1+4+4    (4 feet on each side)
 L2=L1+8
 5. When you substitute L1=8+W1 into the equation L2=L1+8, you obtain:
 L2=8+W1+8
 L2=W1+16
 6. The widht of the sidewalk is:
 W2=W1+4+4
 W2=W1+8
 7. Now, you must substitute the length and the widht of the sidewalk into the formula A2=L2xW2:
 A2=L2xW2
 A2=(W1+16)(W1+8)
 320=W1²+16W1+8W1+128
 W1²+16W1+8W1+128-320=0
 W1²+16W1+8W1-192=0
 8. When you solve the quadratic equation, you obtain the value of W1:
 W1=16.97 ft
 9. Finally, you must substitute the value of W1 into the formula L1=8+W1:
 L1=8+W1
 L1=8+16.97 
 L1=24.97 ft
 10. Therefore, the dimensions of the garden are:
 L1=24.97 ft
 W1=16.97 ft
        
             
        
        
        
Answer:
512ft³
Step-by-step explanation:
A rectangular prism is made up of 32 cubes, each measuring 1 /4 of a foot per side. What is the volume of the rectangular prism?
Since we have 32 cubes with each side = 1/4 foot
= 32 × 1/4 foot
= 8 
Hence, the volume of the rectangular prism = 8 × 8 × 8
= 512ft³
 
        
             
        
        
        
10. -8 1/2, -7.2, 47/9, 5 1/4, 6.75
        
             
        
        
        
Let the distance of Judy from intersection is x and distance of Jackie from intersection is y.
We convert the given information to equations, step by step.
Point 1: When Jackie is 1 mile farther from the intersection than Judy.
This means y is 1 mile more than x.
So,
y = 1 + x
Point 2: The distance between them is 2 miles more than Judy’s distance from the intersection. 
Distance between is x+ y.
So, x+y is 2 miles more than y.
x+y = y + 2
⇒
x = 2
From point 1 we have:
y = 1 + x = 1+ 2 = 3
So,
Distance of Judy from intersection is 2 miles and distance of Jackie from intersection is 3 miles.
        
             
        
        
        
Both the heads and tails will have a probability of 0.5 with a fair coin. ... TO find probability that foe the 7th toss head appears exactly 4 times.