What is the value of W?

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

Answer:

w=5

Step-by-step explanation:

firstly angle SUT and angle SUV are congruent, hence:

w+10=3w

10=3w-w

10=2w

10/2=w

5=w

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There is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200 milliliters of

oksian1 [2.3K]

Et x = the volume of the 3.5% solution
<span>Let y = the volume 6% solution </span>

<span>(3.5%)x + (6%)y = (4.5%)(200) </span>
<span>0.035)x + 0.06y = 0.045(200) </span>
<span>0.035x + 0.06y = 9 ( Equation 1 )</span>

<span>x + y = 200 ( Equation 2 )</span>
<span>x = 200 - y </span>

<span>Substitute x = 200 - y into equation 1: </span>
<span>0.035x + 0.06y = 9 </span>
<span>0.035(200 - y) + 0.06y = 9 </span>
<span>7 - 0.035y + 0.06y = 9 </span>
<span>0.06y - 0.035y = 9 - 7 </span>
<span>0.025y = 2 </span>
<span>y = 2/(0.025) </span>
<span>y = 80 mL (the volume of 6% solution.)</span>

<span>Substitute y = 80 into equation 2: </span>
<span>x + y = 200 </span>
<span>x + 80 = 200 </span>
<span>x = 200 - 80 </span>
<span>x = 120 mL (the volume of the 3.5% solution.)</span>

<span>Therefore, Mr. Larson should combine 120 mL of the 3.5% solution </span>
<span>and 80 mL of the 6% solution to make 200 mL of 4.5% solution. </span>

<span>Answer is 120 mL of the 3.5% solution & 80 mL of the 6% solution

Hope I helped :)</span>

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