Ratio and Proportion: 0.6: X:: 7:42
X=2.4
X=0.6
X=1.2
X=3.6
Correct Answer : D
The ratio 0.6:X=7:42 can be written in proportion as:
\(\frac{0.6}{X}=\frac{7}{42}\)
The value of X is determined by cross-products
\(0.6\ast42=7X \)
25.2=7X
Divide both sides by 7
\(\frac{25.2}{7}=\frac{7X}{7}\)
\(3.6=X\)
Thus, the value of X is 3.6
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Related Questions
Correct Answer is C
Explanation
To add fractions, find the least common divisor of the denominators of 3 and 9, which is 9.
Then
\(\frac{2}{3}+\frac{4}{9}=\frac{3\left(2\right)+4(1)}{9}=\frac{6+4}{9}=\frac{10}{9}=1\frac{1}{9}\)
Correct Answer is C
Explanation
0.6 divided by 0.12 is determined using a calculator as follows
\(\frac{0.6}{0.12}=5\)
Correct Answer is C
Explanation
The ratio 15:1000=X:100 can be written in proportion as:
\(\frac{15}{1000}=\frac{X}{100}\)
The value of X is determined by cross-products
\(15\ast100=1000X\)
\(1500=1000X\)
Divide both sides by 1000
\(\frac{1500}{1000}=\frac{1000X}{1000}\)
\(1.5=X\)
Thus, the value of X is 1.5
Correct Answer is ["5.3"]
Explanation
Total time taken to cover 24-mile course is the total time taken to cover course in phases.
\(Total\ \ time=\left(1+1.2+1.5+1.6\right)hrs=5.3\ hrs\)
The young adult female will take 5.3 hours to cover a 24-mile race.
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