A local service organization is wrapping gifts at the mall to raise money for charity. Yesterday, they wrapped 14 small gifts and 15 large gifts, earning a total of $205. Today, they wrapped 47 small gifts and 45 large gifts, and earned $640. How much did they charge to wrap the gifts?

The answer is below

Step-by-step explanation:

Let the money charged to wrap a small gift be $x and the money charged to wrap a large gift be $y. The cost of wrapping 14 small gifts and 15 large gifts is $205, It can be represented by the equation:

14x + 15y = 205                 (1)

Also, the cost of wrapping 47 small gifts and 45 large gifts is $640. It can be represented by the equation:

47x + 45y = 640                 (2)

Solving equation 1 and equation 2 simultaneously. Multiply equation 1 by 3 and subtract from equation 2:

5x = 25

x = 25/5 = 5

x = 5

Put x = 5, in equation 1 and solve:

14(5) + 15y = 205

15y + 70 = 205

15y = 205 - 70

15y = 135

y = 135 / 15

y = 9

This means that the money charged to wrap the small gift is $5 and to wrap the large gifts is $9

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!

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497