Sam wants to paint his living room and he needs to buy some materials. cans of paint cost $10 each and paint brushes each cost $2 each. if sam plans to spend exactly $50 on painting materials, which of the following equations represents the number of cans of paint (c) and the number of paint brushes (b) that he can purchase? a. $10c + $2b = $50 b. $10b + $2c = $50 c. $12(c + b) = $50 d. $2(5c × b) = $50

A)

Because they are buying cans that cost $10 but we don’t know how much cans so 10c ($10 x amount of cans) and same goes for the $2 brushes ($2 x amount of brushes). Which will then end up the amount of all

10 is the value of every can and $  2 is the cost of every brush, then the total cost is equal 50, an it is

$10 c +  $ 2 b = 50, this is the equation that represents the  total cost,

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.

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58