Amatinee ticket costs $6 per adult and $1 per child. on a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70.

which of the following options represents the number of children and the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?

a: 7 children and 28 adults
equation 1: a + c = 35
equation 2: 6a − c = 70

b: 7 children and 28 adults
equation 1: a + c = 35
equation 2: 6a + c = 70

c: 28 children and 7 adults
equation 1: a + c = 35
equation 2: 6a + c = 70

d: 28 children and 7 adults
equation 1: a + c = 35
equation 2: 6a − c = 70

in advance!

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.