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3241004551 [841]
3 years ago
5

The inequality of the most people that can be seated in the auditorium

Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0
Let x be the number of people that can be seated.

The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that x \ge 0 which is the same as saying 0 \le x

The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have x \le 1200 indicating that x can be less than 1200 or equal to 1200.

So putting the two inequalities together, we get 0 \le x \le 1200

Note: if you haven't learned about compound inequalities yet, then the teacher may only want x \le 1200 as the answer.
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A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the bar
jeyben [28]

Hi,

Let assume a the west side,

b the length of the north wall (i suppose the answer is smaller then the barn.

Cost of the fence= a*6+a*12+b*12=3000 $.

So 3a+2b=500==>b=(500-3a)/2

Area =a*b=a(500-3a)/2= 250a-3/2a²

Derivate the area ==> 250-3a=0

==> a=250/3 and b=(500-3*250/3)/2=125

Width=125 (feet)

Length=250/3=83.333 (feet)

3 0
2 years ago
A storekeeper increased the price of hats by 8% A hat was originally priced at $12.00. What is the new cost of the hat?
german

Answer:

$12.96

Step-by-step explanation:

determine what the decimal form of 8% is

⇒ 8% = 0.08

multiply $12 by 0.08

⇒ $12 x 0.08

⇒ $0.96

add $0.96 to $12

⇒ $12 + $0.96

⇒ $12.96

new price

⇒ $12.96

6 0
3 years ago
Sally has 50 pencils. 38% of them have stripes. How many have stripes?
Brums [2.3K]

Answer: 19

Step-by-step explanation:

7 0
3 years ago
Quadratic Word Problems
Anit [1.1K]
4. Let the numbers be x - 2, x, and x + 2, where x is an odd number.
2(x² - 4) - 4x = (x + 2)² + 21
2x² - 8 - 4x = x² + 4x + 4 + 21
2x² - 4x - 8 = x² + 4x + 25
x² - 8x - 33 = 0
(x - 11)(x + 3) = 0

x = 11, or -3
When x = 11, x - 2 = 9, x + 2 = 13

When x = -3, x - 2 = -5, x + 2 = -1

Explanation: You are on the right track. However, rather than having three unknown variables, try to reduce your working out to one unknown variable. Since you know they are consecutive odd numbers, you can simply let x be the middle term and the other two be + and - 2, provided x is an odd number.

That will reduce your variable issues, and helps as the first and third provide a difference of two squares, and this works out very nicely.

Q5: is essentially the same process. Let your variables be something in the form of one unknown variable, and you should be okay from there. Let me know if you're stuck.
5 0
3 years ago
What is 7+6*(15-8)+3
Rama09 [41]
Use pemdas : so do parenthesis first 15-8, then multiply the answer by 6. OR u can use distributive property & multiply 6 by 15 & 8
3 0
3 years ago
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