Given that the number of tickets that are sold for $5 is (3t+2) tickets.
The number of tickets that are sold for $7 is (2t+5) tickets.
We need to determine the expression that represents the total number of tickets sold and the simplified expression.
<u>Total number of tickets sold:</u>
The expression for (3t+2) tickets sold for $5 is given by
The expression for (2t+5) tickets sold for $7 is given by
The expression for the total number of tickets sold is given by
Thus, the expression that represents the total number of tickets sold is
<u>Simplified expression:</u>
We need to simplify the expression
Hence, let us multiply the terms within the bracket.
Thus, we get;
Adding the like terms, we have,
Thus, the simplified expression is
Step-by-step explanation:
For two points (x₁, y₁) and (x₂, y₂), the distance between them is:
d² = (x₁ − x₂)² + (y₁ − y₂)²
The order of points 1 and 2 don't matter. You can switch it:
d² = (x₂ − x₁)² + (y₂ − y₁)²
This is basically the Pythagorean theorem for a coordinate system.
Let's do an example. If you have points (1, 2) and (4, 6), then the distance between them is:
d² = (4 − 1)² + (6 − 2)²
d² = 3² + 4²
d² = 9 + 16
d² = 25
d = 5
If you have points with negative coordinates, remember that subtracting a negative is the same as adding a positive.
For example, the distance between (-1, -2) and (4, 10) is:
d² = (4 − (-1))² + (10 − (-2))²
d² = (4 + 1)² + (10 + 2)²
d² = 5² + 12²
d² = 25 + 144
d² = 169
d = 13
Answer:
Step-by-step explanation:
- A. 36 × 6 × 6 × 6 = 6²⁺¹⁺¹⁺¹ = 6⁵ incorrect
- B. 125 × 125 = 5³ × 5³ = 5³⁺³= 5⁶ correct
- C. 6 × 5 incorrect
- D. 25 × 5 × 5 × 5 = 5² × 5 × 5 × 5 = 5²⁺¹⁺¹⁺¹ = 5⁵ incorrect
