Question:
A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?
Answer:
Number of seats in a row must be less than 22
Step-by-step explanation:
Given
Total = Less than 750
Current Seats = 200
Rows = 25
Seat per row = x
Required
Represent as an inequality
The scenario will be represented as:
Substitute 200 for Current Seats
Substitute 25 for Rows
Substitute <750 for Total.
The equation then becomes
Solving further:
This means that:
Number of seats in a row must be less than 22
Answer:
960
Step-by-step explanation:
9600/10∧1=960
Answer:
7/1 - 7/1 + 17/1 = 17
Step-by-step explanation:
Step-by-step explanation:
We assume that the advertising rates in this journal for full-page ads is x ($/ad); the rate for half-page ads is y ($/ad).
The revenue for 3 full page ads are: 3x ($)
The revenue for 5 half page ads are: 5y ($)
One issue of a journal has 3 full-page ads and 5 half-page ads, generating $6340.
=> The total revenue for 3 full page and 5 half page ads are $6340
=> 3x + 5y = 6340
The revenue for 4 full page ads are: 4x ($)
The revenue for 4 half page ads are: 4y ($)
One issue of a journal has 4 full-page ads and 4 half-page ads, generating $6625.
=> The total revenue for 4 full page and 4 half page ads are $6625
=> 4x + 4y = 6625 (1)
We have:
+) 3x + 5y = 6340
=> 5y = 6340 - 3x
=> y = (6340 - 3x)/5 = 1268 - 0.6x
Replace <em>y = 1268 - 0.6x </em>into (1), we have:
4x + 4y = 6625
⇔4x + 4(1268 - 0.6x) = 6625
⇔ 4x + 5072 - 2.4x = 6625
⇔ 1.6x = 1553
⇔ x = 1553/1.6 = 970.625
=> y = 1268 - 0.6x = 1268 - 0.6*970.625= 1268 - 582.375 = 685.625
So the advertising rate for full page ads is $970.625, for half-page ads is $685.625
Hello,
The circle has like equation: (x+3)²+(y-2)²=r²
If x=1 then y=5 ==>(1+3)²+(5-2)²=r²==>4²+3²=r²==>r=5 (the radius)
if x=-7 then (-7+3)²+(y-2)²=25 ==> (y-2)²=25-16==>y=2+3 or y=2-3
The points (-7,5) and (-7,-1) are on the circle.
