S = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets
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Answer:
11.5 hours
Step-by-step explanation:
25 pages every 75 minutes (1 1/4)
Thats means 1 page every 3 minutes (divide 25 and 75 by 25 to get this)
230 pages would mean 690 minutes (times the 3 by 230)
690/6 = 11.5
Answer:
80
Step-by-step explanation:
Answer: False
=============================================
Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.
Answer:
187
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
(3 + 2)² × 7 - 13 + 5²
<u>Step 2: Evaluate</u>
- (Parenthesis) Add: 5² × 7 - 13 + 5²
- Exponents: 25 × 7 - 13 + 25
- Multiply: 175 - 13 + 25
- Subtract: 162 + 25
- Add: 187
