Arc commutes to work on his bicycle, which has tires that measure 26 inches in diameter. A device on his bike informs him that one tire completed 388 full rotations between the time he left his house and the time he arrived at work. Rounded to the nearest inch, how far did Marc bike between his house and work? 10,088 in. 15,846 in. 31,692 in. 63,385 in.

31,692 inches

Step-by-step explanation:

The length that Marc travelled with his bike can be calculated by the product between the number of rotations of the tire and the circunference of the tire.

So, calculating the circunference of the tire, we have:

C = pi*diameter = pi*26 = 81.68 inches

If in each rotation of the tire, the length travelled is 81.68, the total length travelled is:

Length = number of rotations * C = 388 * 81.68 = 31,691.84 inches

Rounding to the nearest inch, we have Length = 31,692 inches

24

step-by-step explanation:

i assuming that 2 sides are 6 the other 2 sides are 4 cm so 6 times 4 is 24 : )

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