Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes. what is the distance in miles to his office?

The distance to his office is 2.5 miles.

Step-by-step explanation:

Given : Wade bicycles at a speed of 10 miles an hour and arrives at his office in only 15 minutes.

To find : What is the distance in miles to his office?

Solution :

The relationship between distance, speed and time is

The speed of bicycle is 10 miles per hour.

Time taken is 15 minutes.

Converting into hours,

1 hour = 60 minutes

1 minute = hours

15 minute = hours

15 minute = 0.25 hours

Substitute the value sin the formula,

Therefore, The distance to his office is 2.5 miles.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: