Mark bought 10 baseball tickets for a total of $58.00. Adult tickets cost
$8.00 each and children tickets cost
$2.50 each. How many children
tickets and adult tickets did he buy?

6 adult tickets, 4 children tickets

Step-by-step explanation:

Let a = number of adult tickets.

Let c = number of children tickets.

Equation of numbers of tickets:

a + c = 10

Equation of cost of tickets.

8a + 2.5c = 58

Multiply both sides of the first equation by -8 and add it to the second equation.

        -8a -    8c = -80

(+)      8a + 2.5c = 58

                 -5.5c = -22

c = 4

a + c = 10

a + 4 = 10

a = 6

6 adult tickets, 4 children tickets

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. hope this ! mark brainliest! you v much! : )