Susie has 2 more dimes than nickels. this amounts to $1.85. how many of each coin does she have? show all of your guesses.

She has 11 nickels and 13 dimes

Step-by-step explanation:

* Lets explain how to solve the problem

- The dime = 10 cents

- The nickel = 5 cents

- Susie has 2 more dimes than nickels

- The amount of money with her is $1.85

- 1 dollar = 100 cents

* Lets solve the problem

- Let the number of dimes is d and the number of nickels is n

∵ Susie has 2 more dimes then nickels

∵ d is the number of dimes and n is the number of nickels

∴ d = n + 2 ⇒ (1)

∵ 1 dime = 10 cents and 1 nickel = 5 cents

∵ The amount of these coins = $1.85

∵ 1 dollar = 100 cents

∴ 10d + 5n = 1.85 × 100

∴ 10d + 5n = 185 ⇒ (2)

- To find the numbers of dimes and nickels substitute equation (1)

  in equation (2)

∴ 10(n + 2) + 5n = 185 ⇒ multiply the bracket by 10

∴ 10n + 20 + 5n = 185 ⇒ add like terms

∴ 15n + 20 = 185

- Subtract 20 from both sides

∴ 15n = 165

- Divide both sides by 15

∴ n = 11

- Substitute the value of n in equation (1)

∴ d = 11 + 2 = 13

∵ n is the number of nickels and d is the number of dimes

∴ She has 11 nickels and 13 dimes

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

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm