To watch the high school play, theatre goers must buy a ticket at the door. The cost of an adult ticket is $10.00, and the cost of a student ticket is $7.50. If the number of adult tickets sold is represented by a, and the number of student tickets sold is represented by s, which expression represents the amount of money collected at the door from the ticket sales?

10a+7.5s

Step-by-step explanation: Since the price of an adult ticket(a) is $10 it is logical to say that the total amount of money that will be collected from adult tickets is 10 * a, where a is the amount of adult tickets. Applying the same for student tickets, we finally add these expressions to get 10a+7.5s. Hope this helped you get it!

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it