A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for the sale price of $315. What is the original price?

The original price is $409.5

Step-by-step explanation:

the 2 numbers that you have in this equation are 315 and 30% (or .30)

You want to multiply 315 by .3 to get an answer of 94.5

That's the amount of money that was marked down on the guitar

So you want to add 94.5 to 315 which gives you 409.5

so $409.5 is your answer

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

- "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."