Answer:
12x + 2
Step-by-step explanation:
12 is multiplyed by both the x and the (1/6) since it is outside the equation.
so 12 times x = 12x since we dont know what x is
and 12 times (1/6) = (12/6) = 2
X - 6y=18
2x-3y=9 |*-2
x -6y=18
-4x+6y=-18
----------------
-3x=0, x=0
2x-3y=9
2*0-3y=9
-3y=9, y=-9/3, y= -3
Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.




Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.
The area of a triangle is 1/2 x base x height.
The area of the triangle is 1/2 x 6 x 8 = 24 square cm.
There are 4 identical triangles so 24 x 4 = 96 square cm.
The area of the square base = 6 x 6 = 36 square cm.
Total area = 96 + 36 = 132 square cm.
Answer:
700 miles
Step-by-step explanation:
Since the scale is 0.5 and she's 7 inches away on the map, you divide 7 by 0.5 and get 14. Then, you multiply 14 by 50 because each inch is 50 miles.