Randy has alot of home work tonight for 45 minutes on social studies 40 minutes on science and 1 hour and 15 minutes on math. it will also take him 10 minutes to get ready for bed. if he wants to be in bed at 10: 00 what time does he need to start his homework

He need to start his homework from 7:10 sharp if he want to be in bed at 10:00.

Step-by-step explanation:

Given Details are,

Time Required for social studies homework = 45 minutes

Time Required for science homework = 40 minutes

Time Required for math homework = 1 hour 15 minutes = 75 minutes

Time Required to get ready for bed = 10 minutes

Time when she will be on bed = 10 : 00

To find: Time when he start his home work.

Sum of all the given time ( in minutes ) = 45 + 40 + 75 + 10 = 170 minutes

170 minutes = 2 hours 50 minutes

2 hours before of 10:00 = 8:00

50 minutes before of 8:00 = 7:10

Therefore, He need to start his homework from 7:10 sharp if he want to be in bed at 10:00.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form