Lilly, Madelyn, Natalie, and Olivia each walked from their houses to the mall. Lilly walked 1/4 mile, Madelyn walked 3/8 mile, Natalie walked 5/6 mile, and Olivia walked 7/12 mile. what is the order of these distanced from least to greatest?

1/4, 3/8, 7/12, 5/6

Step-by-step explanation:

First, change all the fractions so they have the same denominators. The least common denominator is 24. 1/4=6/24 3/8=9/24 5/6=20/24 7/12=14/24

Now, put them in order from least to greatest: 6/24, 9/24, 14/24, 20/24

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