To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 54 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 54 is 100%, so we can write it down as 54=100%.
4. We know, that x is 2.9% of the output value, so we can write it down as x=2.9%.
5. Now we have two simple equations:
1) 54=100%
2) x=2.9%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
54/x=100%/2.9%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 2.9% of 54
54/x=100/2.9
(54/x)*x=(100/2.9)*x - we multiply both sides of the equation by x
54=34.48275862069*x - we divide both sides of the equation by (34.48275862069) to get x
54/34.48275862069=x
1.566=x
x=1.566
now we have:
2.9% of 54=1.566
Answer:
#1
<u>The depth of each box:</u>
- 3 m / 15 =
- 300 cm / 15 =
- 20 cm
#2
<u>The error is:</u>
<u>The percentage error:</u>
Writing the word problem as an equation you get:
x - 18 ≥ -12
Now to solve for x:
Add 18 to both sides of the inequality:
x ≥ -12 + 18
Simplify:
x ≥ 6
Answer:
- maximum height: 498 ft
- distance from point of release: 70 ft
Step-by-step explanation:
A graphing calculator can show the answers to these questions.
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For quadratic ax²+bx+c, the x-value of the vertex is ...
x = -b/(2a)
For the given expression, the vertex is ...
x = -14/(2(-0.1)) = 70
The distance from the point of release to the point of maximum height is 70 feet.
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The height of the ball at that point is ...
f(70) = (-0.1·70 +14)70 +8 = 7·70 +8 = 498 . . . . feet
The maximum height is 498 feet.