The town recreation department ordered a total of 100 baseballs and bats for the summer baseball camp. baseballs cost $4.50 each and balls cost $20 each. the total purchase was $822. how many of each item was ordered

76 baseballs and 24 bats.

Step-by-step explanation:

Total number of baseballs and bats = 100

Cost of baseball each = $4.50

Bats cost each = $20

Total cost = $822

This results in a simultaneous equation that can be solved by elimination or substitution method.

Let the number of baseballs purchased t

and the number of bats purchased be g

From the total numbers purchased,

t + g = 100

from g = 100 - t

From the total cost incurred

4.5t + 20g = 822

4.5t + 20(100 - t) = 822

4.5t + 2000 - 20t = 822

15.5t = 2000 - 822

15.5t = 1178

t = 1178/15.5

t = 76

But g = 100 - t

g = 100 - 76

g = 24

Therefore, the town recreation department ordered 76 baseballs and 24 bats.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.