The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:
In other words:
• If d is positive and
• If d is negative and
Therefore, the equation that has no solutions is:
Answer:
6 miles.
Step-by-step explanation:
Let x be the total distance hoped by Kangaroo to the lake.
We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.
She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:
Let us solve for x by multiplying both sides of our equation by 3/2.
Therefore, the total distance hoped by the kangaroo is 10560 yards.
1 mile = 1760 yards
Let us convert this distance in miles by dividing 10560 yards by 1760.
Therefore, the kangaroo hoped 6 miles to the lake.
