What is 3 1/4 ×4 = what
2 answers:
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Answer:
<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.
Step-by-step explanation:
Given:
At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.
Now, to find the number of liters of saline solution each should be used.
<u><em>Let the liters of 90% saline solution mix be </em></u><u><em /></u>
<u><em>And let the liters of 40% saline solution mix be</em></u>
So, the total number of liters:
Now, the total percentage of saline solution:
Substituting the value of from equation (1) we get:
Subtracting both sides by 800 we get:
Dividing both sides by 0.5 we get:
<u>The liters of 90% saline solution mix = 800.</u>
Now, substituting the value of in equation (1) to get the liters of 40% saline solution:
<u>Thus, the liters of 40% saline solution = 1200.</u>
Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.
Answer:
x = 41.2
Step-by-step explanation:
Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.
Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.
