450
If he used 1/3 of the stock bottle, then you have
150=1/3x
Now, you multiply both sides by 3, which gives you
450=x
So, originally there were 450 bottles in the stock bottle
It's definitely A, gotta be.
<span><span><span><span><span><span>x</span><span>=</span><span>2</span><span>(</span><span>y</span><span>+</span><span>3</span><span>)</span></span></span></span></span></span><span>x=<span><span>9</span><span><span>2(y−37)</span></span><span></span>
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Let's say her speed was x miles/hour during the first 3 miles runThen, time = distance/speedt1 = 3/x eq1 In the next 4 miles run, her speed = x-1 miles/hourTime taken:t2 = 4/(x-1) eq2 Now, total time:t1 + t2 = 1 3/5 hourssubstitute t1 and t2 from eqs. 1 and 2 3/x + 4/(x-1) = 1 3/5=> 3/x + 4/(x-1) = 8/5
=> 3(x-1) + 4x = 8x(x-1)/5=> 35x - 15 = 8x2 - 8x=> 8x2 - 43x + 15 = 0=> (8x-3)*(x-5) = 0=> x = 3/8 or 5 miles/hourx can not be 3/8 miles/hour because in that case, the speed during 4 miles run would be 3/8-1 = negative numberi.e. speed during 3 miles segment = 5 miles/hourand speed during 4 miles segment = 5-1 = 4 miles/hour
