The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is
1 answer:
Answer:
The other rational number in the operation given is:
- <u>6/5</u>
Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
- r * 15/14 = 9/7
Where:
- r = the other rational number.
Now we are going to solve r to identify its value in numbers:
- r * 15/14 = 9/7
(We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)
As you can see, when we operate, <u>the result is 6/5</u>, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
- r * 15/14 = 9/7
- 6/5 * 15/14 = 9/7
- 9/7 = 9/7
In this form, we know the result is correct.
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The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.
Step-by-step explanation:
The given is,
Seats filled by students are 570 seats
Which is 95% of the total number of seats in the theater
Step: 1
Let, x - Total number of seats available in theater
Percentage of seats filled, y= 95%
Seats filled by students = 570
Formula to calculate total number of seats in theater,
95% of seats
570 =
x =
= 600
x = 600 seats
Step: 2
Check for solution,
5% of seats
= (0.05 × 600)
= 30 seats
Total no. of seats = 5% of seats + 95% of seats
= 30 + 570
600 = 600
Result:
The total number of seats in the theater is 600 seats.