I think I would set a proportion for this. 1 1/2 hours is 90 minutes. So 90 minutes and 90 miles.
90 300
—- = ——.
90 X
As you can see, miles on top and minutes on the bottom. Now, cross multiply. 90x = 300(90)
90x=27,000
Divide by 90 on both sides to get x alone.
90x/90= x 27,000/90=300
300 minutes would be 5 hours!
1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
For given question,
Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,
Thus,
Quantity of glycerin in 12 liters + Quantity of glycerin in x
= Quantity of glycerin in resultant mixture.
⇒ 8% of 12 + 100% of x = 16% of (12 + x )
⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )
⇒ 0.96 + x = 0.16 × 12 + 0.16x
⇒ 0.96 + x = 1.92 + 0.16x
⇒ x - 0.16x = 1.92 - 0.96
⇒ 0.84x = 0.96
⇒ x = 1.143 liters
Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.
Learn more about the resulting solution here:
brainly.com/question/12051765
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Answer:
The equation of the axis of symmetry is equal to
Step-by-step explanation:
we have
This is the equation of a vertical parabola written in vertex form open upward (because the leading coefficient is positive)
The vertex represent a minimum
The axis of symmetry is equal to the x-coordinate of the vertex
we have that
The vertex is the point (10,-6)
The x-coordinate of the vertex is 10
therefore
The equation of the axis of symmetry is equal to
15 because when you do the Pythagorean Therom 8squared plus the length squared equals 17squared so you get x squared equals 15
