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Questions and Answers
What is the value of m in the equation 35/40 = 1.4/m?
What is the value of m in the equation 35/40 = 1.4/m?
- 0.25
- 0.40
- 0.28 (correct)
- 0.35
If the equation 35/40 = 1.4/m were to be solved for 1.4, what would be the result?
If the equation 35/40 = 1.4/m were to be solved for 1.4, what would be the result?
- 1.4m
- 35/40m
- 0.875m (correct)
- 40/m
What is the reciprocal of the value of m in the equation 35/40 = 1.4/m?
What is the reciprocal of the value of m in the equation 35/40 = 1.4/m?
- 4.0
- 8.75
- 3.5
- 2.8 (correct)
If the value of m in the equation 35/40 = 1.4/m were halved, what effect would it have on the right-hand side of the equation?
If the value of m in the equation 35/40 = 1.4/m were halved, what effect would it have on the right-hand side of the equation?
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Study Notes
Solving for m
- The equation 35/40 = 1.4/m is given, where m is the unknown value.
- To solve for m, cross-multiply to get 35m = 56, then divide both sides by 35 to get m = 56/35, or m = 8/5.
Solving for 1.4
- If the equation 35/40 = 1.4/m were to be solved for 1.4, it would be rearranged to get 1.4 = 35m/40.
- Then, multiply both sides by 40 and divide by m to get 1.4 = 35/40 * m.
Reciprocal of m
- The reciprocal of m is 5/8, since m = 8/5.
Effect of Halving m
- If the value of m in the equation 35/40 = 1.4/m were halved, it would become m/2.
- This would result in the right-hand side of the equation becoming 1.4/(m/2), or 1.4 * 2/m, which is equal to 2.8/m.
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