Let the both the parts be 'x' and 'y'
x>y
We know that 4x = 5y
so x = 5y/4
x + y = 54
Replacing x we get
(5y/4) + y = 54
(5y +4y)/4 = 54
9y = 216
y = 24
Replacing y in ' x+y = 54'
we get x = 30
Hence the larger part is 30 whereas the smaller part is 24
1/5 are dogs.
1/5 x 2700 = 540
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Answer: There are 540 dogs.
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A) -2.8 > -3.5 is true. There are infinite solutions.
B) -7.75 < -8.45 is false. There is no solution.
C) 6.52 < 6.5 is is false. There is no solution.
D) -11.1 > 10.7 is false. There is no solution.
Answer:
1. a) 8 cm × 8 cm = 64 sq cm
b) (64 cm²) × 6 squares = 384 sq cm
2. 152 sq cm
Step-by-step explanation:
1. The area of any rectangle is the product of its length and width. For a square, length and width are the same. The square faces of your die have length and width of 8 cm, so the area is (8 cm) × (8 cm) = 64 sq cm.
A cube has 6 faces of identical size, so the total surface area is 6 times the area of one face. Your cube's surface area is 6 × 64 sq cm = 384 sq cm.
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2. A rectangular prism (cuboid) has 6 faces—3 pairs that are the same size. The area is the total of the areas of these pairs of faces. It can be computed by ...
A = 2(LW + WH + LH)
For your rectangular prism, this is ...
A = 2((8 cm)×(6 cm) + (6 cm)×(2 cm) + (8 cm)×(2 cm))
= 2(48 sq cm + 12 sq cm + 16 sq cm)
= 2×(76 sq cm)
= 152 sq cm
