Answer:
<u><em>4 boxes of tiles.</em></u>
Step-by-step explanation:
Both rooms are square, so each has equal sides. Let's set a side to room A as x. It's area would be x^2. Room B has sides = 2x, so it's area would be (2x)^2 or 4x^2. The ratio of the areas B/A = 4x^2/x^2. B/A = 4.
Room B has 4 times the area of A. If one box of tile completes Room A, Room B would need four times that amount, or 4 boxes.
C. 60%
The probability that a person surveyed is 40 or older and gets the news by reading the paper is 60%.
Step-by-step explanation:
In our case, we have to find the probability of a person getting their news by reading the paper. But we are given with a condition that the person must be 40 or older.
The survey is conducted among 80 people.
Number of people aged 40 or older = 40
No of people aged 40 or older and read paper = 24
Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes.
Probability of a person aged 40 or older reads a paper =
(No. of People aged 40 or older and read paper)/(No. of people aged 40 or older)
= 24/40
= 0.6
= 60%
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Answer:
f(2x + 4) = -4x² - 16x - 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Terms/Coefficients
- Expanding (FOIL)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 1 - x²
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
- Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
- (Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
- Combine like terms: f(2x + 4) = -4x² -16x - 15
Answer:
-85
Explanation:
Given the mathematical expression:
First, we recall the product of signs.
So, first, we open the bracket:
We then simplify:
The result is -85.
Answer: 3 toys
Step-by-step explanation:
Equation: 60-5t=45
Solving: 5t=60-45
5t=15
t=3
