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Re: The amounts S and T are positive and are related by the equation S=<#permalink>18 Sep 2020, 06:55
Plugging in values is going to it is in the easiest method to fix this problem. Lots of numbers would certainly work. You could use S = 10, k = 20, and T = 2 due to the fact that 10 = 20/2.

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Now, if you boost S by 50%, you obtain 15. Usage this to uncover the new T:> S = k/T> 15 = 20/T> 15T = 20> T = 20/15 = 4/3So, T goes native 2 come 4/3. Calculation the percent decrease:> Percent adjust = Difference/Original × 100%> Percent adjust = ⅔ / 2 × 100% = ⅓ × 100% = 33 ⅓%

Re: The amounts S and also T room positive and also are related by the equation S=<#permalink>24 Sep 2020, 07:37
The amounts S and T are positive and also are connected by the equation S=K/T, wherein k is a constant. If the value of S rises by 50 percent, climate the value of T decreases by what percent?A. 25%B. 33 ¹/₃%C. 50%D. 66 ²/₃%E. 75%
Solution:Notice that S = k/T means ST = k. Because the value of S rises by 50 percent, S has actually a multiplier that 1.5. Now we deserve to let m = the multiplier of T and also create the equation: (1.5S)(mT) = k1.5m(ST) = k1.5m(k) = k1.5m = 1m = 1/1.5 = 2/3Since m, the multiplier the T, is 2/3, we view that the value of T should decrease through 1/3 or 33 ⅓% to preserve the offered relationship between S and T.Alternate Solution:Let’s let S = 4 and also T = 3. We view that ST = k = 12. Now, if S rises by 50%, its new value is 6, and so 6T = k = 12, and we view that T must now equal 2. Making use of the percent readjust equation (New - Old)/Old x 100, the percent change of the value of T, indigenous 3 come 2, is: (2 - 3)/3 x 100 = -⅓ x 100 = -33.3%, or a 33.3% decrease.Answer: B_________________
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Re: The quantities S and also T space positive and are connected by the equation S=<#permalink>25 Sep 2020, 08:47
The quantities S and T room positive and also are connected by the equation S=K/T, where k is a constant. If the worth of S rises by 50 percent, then the value of T decreases by what percent?S" = K/T" = K/1.5T = 2K/3T = (1-1/3)K/TIMO B_________________
Re: The quantities S and also T room positive and also are related by the equation S=<#permalink>25 Sep 2020, 08:55
Given s=k/tLet s 100 ;t =k/100Later through 50% rise of S we gett=k/150% increase(k/100-k/150)k/1003-2/3;1/3 ;33.33%Option B
The quantities S and also T are positive and are connected by the equation S=K/T, wherein k is a constant. If the worth of S increases by 50 percent, climate the value of T reduce by what percent?A. 25%B. 33 ¹/₃%C. 50%D. 66 ²/₃%E. 75%
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