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Question 1 A)Use the addition and division properties of equality to rearrange the equation Q=RS − TQ=RS − T for the quantity of interest S.(3 points) Responses S=Q−TRS=Q−TRcap s is equal to the fraction with numerator cap q minus cap t and denominator cap r S=Q+T−RS=Q+T−Rcap s is equal to cap q plus cap t minus cap r S=QRTS=QRTcap s is equal to cap q over cap r cap t S=Q+TRS=Q+TRcap s is equal to the fraction with numerator cap q plus cap t and denominator cap r Question 2 A)Use the division property of equality to rearrange the equation V=lwhV=lwh for the quantity of interest h.(3 points) Responses h=lwVh=lwVh is equal to l w over cap v h=Vlwh=Vlwh is equal to cap v over l w w= V−lhw= V−lhw= V−lhw= V−lh h=Vl−wh=Vl−wh is equal to cap v over l minus w Question 3 A)A jaguar can travel at a speed of 50 feet per second. To find out how long it would take the jaguar to travel 100 yards, we would need to convert yards to what unit?(3 points) Responses yards yards feet feet miles miles inches inches

1 answer

Question 1: Rearranging the equation \( Q = RS - T \) for \( S \)

To isolate \( S \) in the equation \( Q = RS - T \), we will use the addition and division properties of equality.

  1. Start with the original equation: \[ Q = RS - T \]

  2. Add \( T \) to both sides: \[ Q + T = RS \]

  3. Now, divide both sides by \( R \): \[ S = \frac{Q + T}{R} \]

The correct response is: S = \(\frac{Q + T}{R}\)

Question 2: Rearranging the equation \( V = lwh \) for \( h \)

To isolate \( h \) in the equation \( V = lwh \), we will use the division property of equality.

  1. Start with the original equation: \[ V = lwh \]

  2. Divide both sides by \( lw \): \[ h = \frac{V}{lw} \]

The correct response is: h = \(\frac{V}{lw}\)

Question 3: Converting yards to what unit for distance traveled

To find out how long it would take the jaguar to travel 100 yards, we would typically convert yards to a unit compatible with feet since the speed is given in feet per second.

Since \( 1 \text{ yard} = 3 \text{ feet} \), it is necessary to convert yards into feet.

The correct response is: feet