A stadium has 45,000 seats. Seats sell for $30 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,168,800 from each sold-out event. How many seats does each section hold?

Answers

Answer 1

Answer: a + b + c = 45,000
30a + 24b + 18c = 1,168,800 reduces to 5a + 4b + 3c = 194,800
a = b + c

b + c + b + c = 45,000
2b + 2c = 45,000
b + c = 22500 <=== this is A
c = 22500 - b

5a + 4b + 3c = 194,800
5(22500) + 4b + 3(22500 - b) = 194,800
112500 + 4b + 67500 - 3b = 194,800
b + 180,000 = 194,800
b = 194,800 - 180,000
b = 14,800 <===here is b

a = b + c
22500 = 14800 + c
22500 - 14800 = c
7700 = c <== here is c

so....A = 22,500, B = 14,800, and C = 7,700

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The sum of two numbers is 72 the greater number is 8 more than the smaller number which equation can be used to solve for the smaller number?a x - (x + 8) = 72
b x + (x + 8) =72
c x(x + 8) = 72
d x(x - 8) = 72

Answers

Answer:

let x is the smaller number

bigger number is x + 8

The sum of two numbers is 72

x + (x+8) = 72

answer

x + (x + 8) = 72

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two numbers add up to 72

let's assume they r x and y

ome number is 8 more than the other

so it will be xand x+8

Therefore x+x+8=72

(9,9) (12,15) find the slope between two points

Answers

(9,9) (12,15)

Find the slope by using the slope formula.

m = y2 - y1 / x2 - x1
m = 15 - 9/12 - 9
m = 6/ 3
m = 2

The slope = 2

Elisa has 6 1/4 pounds of flour. She would like to divide the flour equally into 5 bags. How much flour will be in each bag? 1 1/4 11 1/4 31 1/4

Answers

Answer:

1 1/4

Step-by-step explanation:

All this is, is division. You do 61/4 dived by 5. To divide fractions you flip the numerator and denominator of the second number and multiply them.

25/4 *1/5

Therefore the answer is 25/20 which is 1 and 5/20

That can be simplified to 1 and 1/4.

Amy looks up to the 8-foot basketball hoop as shown. If the vertical distance from the ground to Amy’s eyes is 5.9 feet, what is the angle of elevation from Amy to the hoop? Round the answer to the nearest tenth.

Answers

To answer this question, you need to have an idea about how to handle trigonometric equations, sin, cos and tan

Amy looks up to the 8-foot basketball
8 feet - 5.9 feet = 2.1
= 2.1 inverse tan (2.1 / 22)
= 5.4526

Elevation to the nearest tenth = 5.5 feet

Answer:

Step-by-step explanation:

Solve the equation. Show your work.
3x = 45

Answers

If you would like to solve the equation 3 * x = 45, you can calculate this using the following steps:

3 * x = 45 /3
x = 45/3
x = 15

The correct result would be 15.

3x=45
45:3=15
x=15

good homework

Find the unit rate in feet per second
300 yards over 1 minute

Answers

In order to find the unit rate in ft / sec of 300 yards / min. We first have to elicit the conversion values for each unit of measurement, this will allows us identify how much will we multiply in order to get the goaled value.
Conversion values:
1.    1 yard = 3 feet
2.    1 minute = 60 seconds

Solution:
1.    300 yards x 3 feet/1 yard = 900 feet
2.    1 minute x 60 seconds / 1 minute = 60 seconds

Thus, 900ft/60sec

Question: Find the unit rate in feet per second

300 yards over 1 minute

Answer: 15 ft per second

Reasoning: Since we are trying to find the unit rate of feet per second for 300 yards in one minute. 1 yard is 3 feet. 300 x 3= 900 Now divide 900 by 60 for the seconds. 900/60= 15

So 15 feet per second :)

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