All together Maria and Nick had $12. After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount. How much money did Nick have to begin with?

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

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