Asked by Sarah Bradley on Jul 08, 2024
Verified
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.
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 7x⋅20=5⋅7
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.
x⋅20=5⋅7x\cdot 20=5\cdot 7x⋅20=5⋅7
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.
Learning Objectives
- Solve basic algebraic proportions and linear equations.
Related questions
Use Cross-Multiplication to Solve the Equation \(\frac { x - 3 ...
Solve the Linear Equation \(\frac { 1 } { 4 } ...
Hockey Goals and Assists Each Count as One Point ...
Solve the Following Proportion for the Unknown Quantities: 6: 7:5 ...
Solve the Following Proportion for the Unknown Quantity: 0 ...