Determine which situation could be represented by the system of linear equations given below.

a.
an audience contains 210 people. student tickets cost $3 each and adult tickets cost $5 each. at one performance, there are 60 more adults than students.
b.
a candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. in one afternoon, the store sold 210 boxes of candy and made a profit of $60.
c.
an art teacher bought paintbrushes in packs of 5 and packs of 3. she bought a total of 60 packs and now has 210 paintbrushes.
d.
a guitar requires 5 strings and a banjo requires 3 strings. an orchestra has a total of 210 strings. one guitar player and one banjo player have 60 strings.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form