For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
That's pretty expensive its usually cheaper. I would look for another gym. This isn't really a question though.
If the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb
Let the gray suitcase be represented by g
Let the pink suitcase be represented by p
Let the blue suitcase be represented by b
The gray suitcase weighs 11 lb more than the pink suitcase
g = p + 11........(1)
The pink suitcase weighs 5 lb than the blue suitcase.
p = b + 5
b = p - 5...........(2)
Total of 3 suitcases = 127 lb
p + b + g = 127............(3)
Substitute equations (1) and (2) into equation (3)
p + p - 5 + p + 11 = 127
3p + 6 = 127
3p = 127 - 6
3p = 121
p = 121/3
p = 40.3 lb
Substitute p = 40.3 into equation (2)
b = p - 5
b = 40.3 - 5
b = 35.3
The blue suitcase weigh 35.3 lb
Learn more here: brainly.com/question/11865047
Answer:
The area of the shelf is 86.59 square inches
Step-by-step explanation:
The formula of the area of the circle is A = π r², where
- r is the radius of the circle
∵ The corner shelf is 
of a circle
→ That means its area is the area of the circle
∴ The area of the corner shelf = × area of the circle
∵ Area of the circle = π r²
∴ The area of the corner shelf = × π r²
∵ The radius of the shelf is 10.5 inches
∴ r = 10.5 inches
→ Substitute the values of r in the formula of the area
∴ The area of the corner shelf = × π × (10.5)²
∴ The area of the corner shelf = 86.59014751
→ Round it to the nearest hundredth
∴ The area of the corner shelf = 86.59 square inches
∴ The area of the shelf is 86.59 square inches
if 4 to 6 then 16 to 24, but if its 4 minus 6, its -8 cups
