<span> 53/2 ÷ 53/8
(53 × 8) / (53 × 2)
424/106
4/1
4
The answer is 4.
</span>
We are told that a marathon is 26.2 miles long. There is a water station every 1 and 3/100 miles along the race route. We are supposed to write an expression that represents the total number of water stations.
Let x be total number of water stations.
First of all we will convert our mixed fraction into improper fraction.
The total number of water station in the marathon of 26.2 miles will be,
Therefore, will represent the total number of water stations.
An equilateral triangle has 3 equal sides by definition.
so we know that x+2 = -2x+20 because we're told that those are both lengths of the triangle's sides. let's solve for x.
x+2 = -2x + 20
add 2x to both sides.
3x + 2 = 20
subtract 2 from both sides.
3x = 18
divide both sides by 3.
x = 6
now, let's find the length of the sides. plug 6 into one side, which is x+2.
6+2 = 8. so each side's length must be equal to 8. let's just check to make sure we didn't make a mistake. if this is correct, then -2x + 20 should also = 8.
-2(6) + 20
-12 + 20
8.
so we know that the sides = 8. let's see if 14 - x or 2x+4 are equal to 8 when we plug in 6 for x.
14 - 6 = 8. so 14-x could be a length for a side.
2(6) + 4 = 12 + 4 = 16. so 2x + 4 can not be a length for a side.
the answer is 14 - x only, or C.
7. There are no solutions.
8. All real numbers are solutions.
9. s≤−2
