Find the percent decrease from 60 cars to 24 cars.
1 answer:
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Let's call the two numbers and
.
Given these variables, we can say: , based on the first sentence in the problem.
Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:
To solve, we can simply substitute in for
in the second equation and solve.
- Set up
- Get terms on the left side to a common denominator for easier addition
- Simplify
- Cross multiplication (
)
- Simplify
- Subtract
from both sides of the equation
- Factor left side of the equation
- Zero Product Property
Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,
,
Since is not positive in this case,
is not a solution.
Thus, is our only solution. In this case,
,
which means that the smaller number is 14 and the larger number is 28.
Answer:
Step-by-step explanation:
Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride
Number line represents the height above the ground at any time during the ride.
the shaded part of the graph lies between 10 and 50, also we have solid dot at 10 and 50.
So height of the inequality is