The sum of two numbers is 20. three times the smaller is equal to twice the larger. find the numbers

Step-by-step explanation:

Translate from English to Math:

x+y=20 [The sum of two numbers is twenty]

3x=2y [Three times the smaller is equal to twice the larger]

.

x=20-y [Solve for x]

3(20-y)=2y [Substitute (x=20-y) into the second equation]

60-3y=2y [Solve for y]

60=5y

60/5=y

12=y

.

x+y=20 [Plug (y=12) back into either of the original equations]

x+12=20 [solve for x]

x=8

.

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98