Nate just started working at a cothing store. He receives a 40% discount on any item once a month. This month Nate decided to buy a jacket that has a retail price of $74.99. How much did Nate pay for his jacket?

$ 44.99

Step-by-step explanation:

Given : Retail price of Jacket  = $74.99

Discount percent = 40% = 0.40  [To remove % we divide it by 100]

Discount amount = (Discount percent)  x (retail price)

=$ 0.40 x 74.99 = $29.996 ≈ $30.0

Amount need to pay = (Retail price) - (Discount amount)

= $(74.99 - 30.0) = $ 44.99

Hence, Nate paid $ 44.99 for his jacket.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12