Kira skied at a steady speed in a 2-mile cross-country ski race. Her finish time was 5/12 hour. The fraction 2/5/12 (2 over 5/12) represents Kira's speed in miles per hour.

Which division expression represents Kira's speed in miles per hour?
1/2 (divided by) 5/12
5/12 (divided by) 1/2
5/12 (divided by) 2
2 (divided by) 5/12

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

its 4 because 2 times 2 is 4, if you double the number two you get four

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )