Freshmen and sophomores solve by setting up a system of linear equations with 2 variables and 2 unknowns. a total of 1,595 first and second year college students gathered at a pep rally. the number of freshman exceeded the number of sophomores by 15. how many freshmen were at the pep rally? a) there were 790 freshmen at the pep rally. b) there were 795 freshmen at the pep rally. c) there were 800 freshmen at the pep rally. d) there were 805 freshmen at the pep rally. (precal)

The number of freshmen that were at the pep rally is required.

D) There were 805 freshmen at the pep rally.

Let be the number of Freshmen

and be the number Sophomores.

Number of freshmen is 15 more than the sophomore.

So,

Total number of Freshmen and Sophomores are 1595

The equations are

Adding the equations we get

Hence, D) There were 805 freshmen at the pep rally.

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v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.