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 B
Explanation
To calculate the total number of legs in the group, we need to consider both the legs of the girls and the legs of the cats.
Each girl has 2 legs. Since there are 7 girls:
7×2=14legsfromthegirls
Each cat has 4 legs. Since each girl has 7 cats, there are a total of:
7×7=49cats.
Thus, the total number of legs for the cats is:
49×4=196legsfromthecats.
Adding the number of legs from the girls and the cats gives:
14+196=210legsintotal
The correct answer is B 210.
Correct Answer is A
Explanation
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.
Correct Answer is B
Explanation
To find out how much the patient will pay after a 15% discount, first calculate the amount of the discount and then subtract it from the original total charge.
1. Calculate the discount:
15%×532.00
=0.15×532.00
=79.80USD
2. Calculate the final amount the patient pays:
532.00−79.80
=452.20USD
The patient will pay 452.20 USD in full today.
Therefore, the correct answer is: B $452.20
Correct Answer is A
Explanation
To add the mixed numbers 
and 
, First add the whole numbers part separately and the fraction part separately
5 + 7 = 12
Now convert the fractions part with a common denominator and then perform the addition.
- Find a common denominator: The least common multiple (LCM) of 4 and 3 is 12. So, convert each fraction:
= 
= 
= 
= 
- Add the two fractions:
+ = 
= 
- Now combine the whole number part with the fraction part
12 + = 
Thus, the answer is A 12 7/12.
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