184500 $ are to be divided between 2 people. One person has 80% of what the other person has. How much does each one receive in
1 answer:
Given:
$184500 are to be divided between 2 people.
One person has 80% of what the other person has.
To find:
The amount each one receive in $.
Solution:
Let $x be the amount received by first person. Then,
Amount received by the second person = 80% of x
= 0.80x
Total amount = Amount received by first person + by second person
=
=
Total amount is 184500. So,
So, the amount received by the first person is $102,500.
So, the amount received by the second person is $82,000.
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Answer:
(a) The number of different lock combinations is 216,000.
(b) The probability of getting the correct combination in the first try is .
Step-by-step explanation:
The lock has three-cylinder combinations with 60 numbers on each cylinder.
The procedure of the opening lock is to turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder.
The numbers can be repeated.
(a)
There are three cylinder combinations on the lock, each with 60 numbers.
It is provided that repetitions are allowed.
Then each cylinder can take any of the 60 numbers.
So there are 60 options for the first cylinder.
There are 60 options for the second cylinder.
And there are 60 options for the third cylinder.
So the total number of possible combinations is:
Total number of combinations = 60 × 60 × 60 = 216000.
Thus, the number of different lock combinations is 216,000.
(b)
The events of getting a correct combinations of the three-cylinder combination lock implies that all the three cylinder are set at the correct numbers.
Each cylinder has 60 numbers.
This implies that there are 60 possible ways to get a correct number for the first cylinder.
The probability of getting the correct number for the first cylinder is:
P (Number on 1st cylinder is correct) = .
Similarly for the second cylinder the probability of getting the correct number is:
P (Number on 2nd cylinder is correct) = .
And similarly for the third cylinder the probability of getting the correct number is:
P (Number on 3rd cylinder is correct) = .
So the probability of getting the correct combination in the first try is:
P (Correct combination in the 1st try) = .
Thus, the probability of getting the correct combination in the first try is .
Answer:
Step-by-step explanation:
The given figure above is an inscribed quadrilateral with all four vertices lying on the given circle, thereby forming chords each.
Therefore, the opposite angles of the above quadrilateral are supplementary.
This means:
, and
Find the measure of d:
Subtract 57 from both sides.
Given:
The inequality is:
To find:
The values that make the given inequality true.
Solution:
We have,
It means the value of h must be less than or equal to 2.
In the given options, the list of numbers which are less than or equal to 2 is
-6, -3, -1, 1, 1.9, 1.99, 1.999, 2
The list of numbers which are greater than 2 is
2.001, 2.01, 2.1, 3, 5, 7, 10
Therefore, the first 8 options are correct and the required values are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.