Question

the table shows the heights of four students who are rock climbing. the positive numbers represent locations above sea level and the negative numbers represent locations below sea level. which student is farthest from sea level?
student\theight (ft)
allie\t23
derek\t-9
lydia\t-12
christopher\t7

9 on a map, the distance between noahs house and his aunts house is 6.5 centimeters. if the map has a scale of 1 centimeter = 5 kilometers, what is the actual distance between the two houses?

11 which number is a rational number, but not an integer?
f -\frac{20}{2}
g -\frac{16}{4}
h \frac{14}{4}
j \frac{24}{6}

Explanation:

7.

Step1: Find absolute values

23

= 23,

-9

= 9,

-12

= 12,

7

= 7

Step2: Compare values

23>12>9>7

Step1: Use scale - distance formula

Actual distance = Map distance×Scale factor

Step2: Substitute values

Actual distance = 6.5×5 = 32.5 kilometers

Step1: Simplify each option

F: $-\frac{20}{2}=-10$ (integer)
G: $-\frac{16}{4}=-4$ (integer)
H: $\frac{14}{4}=\frac{7}{2}=3.5$ (rational, not integer)
J: $\frac{24}{6} = 4$ (integer)

Answer:

Allie

9.