Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. How much faster does Julia

Respuesta:

126 pies

Explicación paso a paso:

Dado que:

Ecuación de la línea que representa el sendero de naturaleza:

y = 13x - 4

Distancia del gazebo respecto al sendero de naturaleza:

Cada unidad en el plano de coordenadas = 10 pies

Por lo tanto,

y = 13(10) - 4

y = 130 - 4

y = 126 pies

Answer:

1) (2.2, -1.4)

2) (1.33, 1)

Detailed solution:

Question 1)

We are provided with two linear equations representing lines, and we need to find the intersection point that solves the system.

The lines given are:

Line 1 equation:

This line passes through points (0, 2.5) and (2.2, -1.4).

Line 2 equation:

The second line goes through (0, -3) and (2.2, -1.4).

According to the graph and data, the solution to the system is the coordinate where both lines intersect.

The solution to a system of linear equations is the coordinate pair common to both lines, i.e., the intersection point.

Here, both lines share the point (2.2, -1.4), indicating it is their intersection and the solution.

Therefore, the solution for question 1 is (2.2, -1.4).

Question 2)

The equations given are:

y = 1.5x - 1               Equation 1

y = 1                           Equation 2

The method of substitution can be used to find the solution.

Replacing y from Equation 2 into Equation 1 gives:

1 = 1.5x - 1

Add 1 to both sides:

2 = 1.5x

Dividing both sides by 1.5 yields:

x = 2/1.5

x = 1.33

y = 1

Thus, the solution of the system is (1.33, 1).

Response:

(C) Fourth

Detailed reasoning:

We will create a list based on the given constraints.

Chris is last in the order, positioned right after Andy.

Frank holds the first position in line and is one spot ahead of Betty.

Mark stands in between Betty and Mary.

1. Frank
2. Betty
3. Mark
4. Mary
5. Andy
6. Chris