Heather and jerry each bought an ice cream bar. although the bars were the same size, they were different flavors. heather ate 5/8 of her ice cream bar, and jerry ate 5/10 of his. who are more or did they eat the same amount

Heather ate more than Jerry

Step-by-step explanation:

we have

Heather ate 5/8

Jerry ate 5/10

Decompose the number in the denominator in prime factors

Find out the LCM  (least common multiple)

LCM=2^{3}(5)=40

Divide

40/8=5

40/10=4

Multiply Heather's fraction by 5/5

Multiply Jerry's fraction by 4/4

Compare the fractions

Remember that

When comparing two fractions with the same denominator, the largest fraction will be the one with the largest numerator

therefore

Heather ate more than Jerry

- "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."

70.30

step-by-step explanation: