Ajacket is on sale for 70% of the original price. if the discount saves $45 what was the original price of the jacket? what is the sale price?

original price= $150, sale price= $105

Step-by-step explanation:

since it is on sale for 70% of original price, there is 30% off discount.

$45 is 30% of original price (original price is 100%)

1% of original price

= $45 ÷ 30

= $1.50

original price

= $1.50 × 100

=$150

sale price (70% of original price)

= $1.50 × 70

= $105

- "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."