Ratio and Proportion: 450:15=225: X
X=7.5
X=30
X=15
X=60
Correct Answer : A
Set up the proportion as fractions:
= 
First, simplify the left side ratio:
= 30
This means for every 15 units on the left, there are 450 units. To maintain this proportion, the ratio on the right must behave similarly:
30 =
Now, solve for 𝑋X by cross-multiplying:
30⋅𝑋=225
Simplify to find X:
𝑋= 
= 7.5
This correct calculation verifies that 𝑋=7.5, matching the proportion given.
Thus, the answer is A. X = 7.5.
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Related Questions
Correct Answer is A
Explanation
To solve the proportion 15/3=𝑋/5, you can use cross-multiplication:
15×5=3×𝑋
Calculate the left side:
15×5=75
Now set up the equation:
75=3𝑋
Solve for X by dividing both sides by 3:
𝑋=75/3=25
Thus, the value of X is 25.
Correct Answer is C
Explanation
To determine which expression is the largest, you can consider each ratio or fraction and evaluate its decimal equivalent or compare its relative value. Each expression lists a ratio of 1 to another number, so essentially, we're looking at fractions:
- A
- B
- C
- D
Among these, the largest fraction is the one with the smallest denominator, because the whole (1 in this case) is divided into fewer parts, making each part larger. Therefore, the largest fraction, and thus the largest expression, is: C 1:2
Correct Answer is B
Explanation
Use the conversion factor where;
1 kilogram equals 1000 grams.
Given 2 kilograms, the conversion to grams is:
2kilograms×1000grams/kilogram=2000grams
Thus, 2 kilograms is equivalent to 2000 grams.
The correct answer is: B 2,000 grams.
Correct Answer is B
Explanation
To solve the division problem
413 ÷0.05
Adjust the division to simplify the operation.
Dividing by 0.05 is equivalent to multiplying by the reciprocal of 0.05.
Reciprocal of 0.05 is
= 20
Hence, the operation becomes:
413 × 20
Calculating the multiplication:
413×20 = 8260
Therefore, the answer is: B 8,260
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