x equals 4 and y equals 5 . so the formula would be 5x+12y=80 and if we need 4 of the small boxes we sub x for 4 and we get 5(4) =20. Next, 80 minus 20 is 60, and the equation would now be 12y=60. we now divide both sides by 12 and we get left with y=5. 5x + 12y = 80 5(4) + 12(5)=80 20+60=80. That is all. I hope that doesn't sound confusing
Answer:
- 24 cm²
- 6400 -1600π ≈ 1373.45 square units
Step-by-step explanation:
1. You can look at this several ways.
It can be considered to be a stack of 1+2+3 = 6 squares that are 2 cm on a side, so have a total area of 6 × (2 cm)² = 24 cm².
You can lop off one of the squares sticking out and put it into the empty corner to form a 6 cm by 4 cm rectangle with an area of (6 cm)(4 cm) = 24 cm².
You can consider it to be a 6 cm square with 3 squares cut out of it that are 2 cm on a side: (6 cm)² -3(2 cm)² = (36 -12) cm² = 24 cm².
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2. The shaded area is the difference in areas of a square 80 units on a side and a circle of 40 units radius. If we let d represent the side dimension of the square, then the area formulas are ...
Square area = d²
Circle area = π(d/2)²
So the difference area is ...
shaded area = d² -(π/4)d² = d²(1 -π/4)
For d=80, the shaded area is ...
shaded area = 80²(1 -π/4) = 6400 -1600π ≈ 1373.45 square units
Answer:
Ana baked 5 cookies and wanted to divide 1.5 of the cookies to her friends and the rest to her family. How many cookies were given to her friends?
Step-by-step explanation:
Answer:
The total weight would be 5 lbs 12 oz.
Step-by-step explanation:
First, combine the ounces:
13 + 15 = 28 ounces
Next, convert that into pounds and ounces.
28 oz = 1 lb + 12 oz
Finally, add the weight back to the 4 lb.
1 lb + 4 lb + 12 oz = 5 lb + 12 oz
