Dylan gets home from school at 4:05 p. m. He spends 20 minutes on his homework and 15 minutes practicing the drums. How many minutes does he have left before leaving for soccer practice at 5:15 p. m.?

35 minutes

Step-by-step explanation:

Dylan gets home at 4:05pm

spends 20 minutes on his homework

4:05+20 min=4:25

spends 15 minutes practicing the drums.

4:25+15 min=4:40

Now, how many minutes does he have left before leaving for soccer practice at 5:15 pm

5:15-4:40=35 min

we cant find 15-40 because it gives negative number so we take 1 from 5 that made 15 became

15+60=75 min

then 75-40=35min

of course 4-4=0 hours

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: