The rockets rate of change in miles per second is:
(5 - 1)/(2.5*60 - 30) = 1/30 miler per second or 0.033
the rockets rate of change in miles per minute is:
(5 - 1)/(2.5 - 30/60) = 2 miles per minute
Answer: 27
<u>Explanation:</u>
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The greatest whole number is: 27
Answer:
70°, 140°, 50°
Step-by-step explanation:
110° and the angle inside the triangle are adjacent angles and sum to 180°, so
angle inside triangle = 180° - 110° = 70°
The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent
∠ 1 = angle inside triangle = 70°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 2 is an exterior angle of the triangle on the left, so
∠ 2 = 70° + 70° = 140°
∠ 2 is also an exterior angle of the triangle on the right, so
∠ 3 + 90° = 140° ( subtract 90° from both sides )
∠ 3 = 50°
228-12.50*2=x*10
228-25=10x
203=10x
Divide both sides by 10 and it is:
20.3=x
The price of each ticket is $20.30
Hope this helps :)
Let x represent the amount of 10% solution used.
Let y represent the amount of 25% solution used.
Since 30 liters of 15% solution are being made, our first equation is
x + y = 30
Now we deal with the actual peroxide in each solution.
x liters of 10% peroxide contain 0.1x liters of peroxide.
y liters of 25% peroxide contain 0.25y liters of peroxide.
30 liters of 15% peroxide contain 0.15 * 30 = 4.5 liters of peroxide.
From this information, we can write our second equation.
0.1x + 0.25y = 4.5
We have a system of equations:
x + y = 30
0.1x + 0.25y = 4.5
Multiply the first equation by -0.25 and add to the second equation.
-0.25x - 0.25y = -7.5
0.1x + 0.25y = 4.5
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-0.15x = -3
x = 20
Answer: 20 liters