In HER COLLEGE ENGLISH CLASS MARTA WROTE A TOTAL OF. 15,000 WORDS IN ESSAYS THREE OF MARTA’S ESSAYS WERE 1,000 WORDS LONG AND THE REST ARE 2,000 WORDS LONG HOW MANY 2,000 WORD ESSAYS DID SHE WRITE

6 essays

Step-by-step explanation:

With the given question, we can write out an equation.

Equation: 3(1000)+2000x=15000

We have 3(1000) because 3 of Marta's essays have 1000 words. We have 2000x because there are 2000 words, but we don't know how many essays. Lastly, we have 15000 because that is the total number of words. All we have to do is solve for x.

3(1000)+2000x=15000       [multiply]

3000+2000x=15000           [subtract both sides by 3000]

2000x=12000                       [divide both sides by 2000]

x=6

Now, we know there are 6 essays.

- "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."