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(1)/(4)v=2+3
Given the equation, what is the value of

6v-17+18-19+20" ? "
Choose 1 answer:
(A) 14
(B) 32
(C) 
122
(D) 144

14v=2+3 \frac{1}{4} v=2+3 \newlineGiven the equation, what is the value of\newline6v17+1819+20? 6 v-17+18-19+20 ? \newlineChoose 11 answer:\newline(A) 1414\newline(B) 3232\newline(C) 122122\newline(D) 144144

Full solution

Q. 14v=2+3 \frac{1}{4} v=2+3 \newlineGiven the equation, what is the value of\newline6v17+1819+20? 6 v-17+18-19+20 ? \newlineChoose 11 answer:\newline(A) 1414\newline(B) 3232\newline(C) 122122\newline(D) 144144
  1. Combine constants: Combine the constants on the right side of the equation.\newline2+3=52 + 3 = 5\newlineSo, (1)/(4)v=5(1)/(4)v = 5
  2. Multiply by 44: Multiply both sides of the equation by 44 to solve for vv.4×(14)v=4×54 \times \left(\frac{1}{4}\right)v = 4 \times 5v=20v = 20
  3. Substitute v=20v=20: Now that we have the value of vv, we can substitute it into the expression 6v17+1819+206v - 17 + 18 - 19 + 20. Substitute v=20v = 20 into the expression. 6v17+1819+20=6(20)17+1819+206v - 17 + 18 - 19 + 20 = 6(20) - 17 + 18 - 19 + 20
  4. Perform multiplication: Perform the multiplication first according to the order of operations.\newline6(20)=1206(20) = 120\newlineSo, the expression becomes 12017+1819+20120 - 17 + 18 - 19 + 20
  5. Combine all constants: Now, combine all the constants in the expression.\newline12017+1819+20=120+18+201719120 - 17 + 18 - 19 + 20 = 120 + 18 + 20 - 17 - 19\newline=15836= 158 - 36\newline=122= 122
  6. Final value: The final value of the expression 6v17+1819+206v - 17 + 18 - 19 + 20 is 122122. Therefore, the correct answer is (C) 122122.