Which expression represents each mathematical phrase? drag the answer into the box to match each phrase. add 12 and a number subtract a number from 12 divide a number by 12 multiply 12 by a number options: 12 over c c − 12 12 + c 12 − c c over 12 12c

add 12 and a number : 12 + c

Subtract a number from 12 : 12 - c

Divide a number by 12: c over 12

Multiply 12 by a number: 12c

Step-by-step explanation:

Add 12 and a number:

Let c = any number then the statement "add 12 and a number" will be: 12 + c

Similarly,

As a number has to be subtracted from 12. Subtracting a number from 12 will be: 12 -c

The number has to be divided by 12 so the number will be the numerator and 12 will be the denominator.

Multiplication simply means 12*c OR 12c

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."