Asked by Sarah Bradley on Jul 08, 2024

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Solve the proportion x5=720\frac { x } { 5 } = \frac { 7 } { 20 }5x=207 to determine x .

A) x= 7100\frac { 7 } { 100 }1007
B) x=2x = 2x=2 7
C) x= - 7100\frac { 7 } { 100 }1007
D) x=21
E) x= 74\frac { 7 } { 4 }47

Proportion

A statement that two ratios or fractions are equal.

X

Often used to represent an unknown value in algebraic expressions and equations.

Inches

A unit of length in the imperial and US customary systems, equivalent to 1/12 of a foot.

  • Solve basic algebraic proportions and linear equations.
verifed

Verified Answer

OL
Okta Liana SihalohoJul 12, 2024
Final Answer :
E
Explanation :
To solve a proportion, we cross-multiply, which means we multiply the numerator of one fraction by the denominator of the other fraction. So:
x⋅20=5⋅7x\cdot 20=5\cdot 7x20=57
Simplifying:
20x=3520x=3520x=35
Dividing both sides by 20:
x=3520=74x=\frac{35}{20}=\frac{7}{4}x=2035=47
Therefore, the correct answer is E.