A liquid starts at a temperature of 65 degrees and its temperature increases by a rate of 5 degrees per minute. How many minutes will it take for the temperature of the liquid to reach 128 degrees?

12.6 minutes

Step-by-step explanation:

We can write an equation to model this situation. Let x equal the minutes passed and y equal the temperature. We start out with 65 degree and add 5 degrees each minute, so we can write the equation:

65 + 5x  = y

We are looking for a temperature of 128, so we can substitute it in for y:

65 + 5x = 128

5x = 63

x = 12.6 minutes

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

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)