Ratio and Proportion: 200:2 = 20: X (Enter numeric value only.)
0.2
2
0.1
3
Correct Answer : A
Set up a proportion where the ratios must be equal.
= 
This can be solved by cross-multiplying:
200×𝑋=2×20
200𝑋=40
Now, solve for X by dividing both sides by 200:
𝑋= 
= 0.2
Thus, the value of X is 0.2.
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Related Questions
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
Correct Answer is A
Explanation
Calculate the total number of people needing servings:
70(students)+3(staff)=73people
Each cake provides 24 servings.
Divide the total number of people by the number of servings per cake and then round up to the nearest whole number (because you can't order a fraction of a cake):
73 ÷ 24 ≈ 3.04
Since you can't have a fraction of a cake, round up to 4 to ensure there are enough servings for everyone. Thus, the committee should order:
4 cakes.
Correct Answer is A
Explanation
To multiply 2 and 
, first covert 2 into an improper fraction.
2 = 
Now Multiply the two by Multiplying the numerators separately and denominators separately.
×
=
=
Simplify by dividing by a common factor
Convert the simplified improper fraction into a mixed fraction.
5 ÷ 4 = 1
Thus, the correct answer from the provided choices is: A 1
Correct Answer is A
Explanation
The product of X and 24 is mathematically represented by multiplying X by 24, which is:
24𝑋
Therefore, the correct answer is: A 24X
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