Answer:
The weight of Paula's dog is 36 pounds.
Step-by-step explanation:
SO we would draw one box for the weight of Carla's dog. Then we would draw 3 boxes for the weight of Paula's dog.
To find how much does Paula's dog weigh we divide the total weight of the dogs by the total number of boxes.
So then you would calculate 48 divided by 4.
The weight of Carla's dog is 12 pounds.
Therefore the weight of Paula's dog is 3x12=3x10+3x2=30+6=36 pounds.
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Answer:</h2><h2>
volume of the cylinder = 2π
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Step-by-step explanation:
The height of a cylinder is twice the radius of its base.
Let the height of the cylinder = 2x
Let the radius of the cylinder = x
By formula, volume of the cylinder = π
h
here r = x, h = 2x
substituting the values in the equation, we get
volume of the cylinder = π
h = π
(2x)
volume of the cylinder = 2π
Perpendicular lines have slopes that are negative reciprocals. example: line a has a slope of 2/3, line b has a slope if -3/2 if they are perpendicular.
Answer:
A: C = 2: 1
Step-by-step explanation:
Please see the attached pictures for the full solution.
Further explanantion (2nd image):
The reason why the ratio of A: C is equal to the ratio if 2A: 2C is that the number of parts of A and C is equal, which is 2 parts. If I were to divide both 2A and 2C by 2 to find the ratio of A: C, I would obtain 15: 15/2. However, ratios are expressed as whole numbers and thus, we would multiply the whole ratio by 2 again and the answer would still be 30: 15. This ratio is not in the simplest form since both can be divided by 15. Thus, dividing both sides of the ratio by 15 will leave us with the final answer of
A: C= 2: 1.
☆ An alternative method is to simplify the ratio 3B: 2C at the beginning.
3B: 2C
= 36: 15
= 12: 5
Multiply the first ratio by 2 so 3B has 12 parts in both ratios:
2A: 3B
= 10: 12
Combining the 2 ratios together,
2A: 3B: 2C
= 10: 6: 5
2A: 2C
= 10: 5
= 2: 1
A: C= 2: 1