30 tom and martin both worked 9 hours this week and sold $360 worth of meals. their hourly wages are $2.15 and $2.50, respectively. in addition, tom's percent of tips was 15% while martin's was 20%. who made the most money this week between tom and martin?

Given

Tom and Martin both worked 9 hours this week and sold $360 worth of meals

Tom's percent of tips was 15% while Martin's was 20%

Find out the most money this week between Tom and Martin

To proof

In this question take two cases

FIRST CASE

Martin worked 9 hours

sold worth of meals = $360

Martin's percent of tip = 20%

First convert 20% in decimal form

=

= 0.20

than the equation becomes

Martin makes money = 9 × 2.50 + 0.20 × 360

                                   = 22.5 + 72

                                   = $ 94.5

SECOND CASE

Tom worked 9 hours

Tom's percent of tips = 15%

sold worth of meals = $360

First 15 % is written in decimal form

=

= 0.15

than the equation becomes

Tom  makes money = 9 × 2.15 + 0 .15× 360

                                =  19.35 + 54

                                = $ 73.35

Thus martin makes money is $94.5

Thus tom makes money is $73.35

Hence Martin makes more money than tom

Hence proved

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!