Vivian is going to do some yard work, but she needs to leave her house at 1: 00 to go to a football game. she is going to mow the lawn for 1 hour and 10 minutes, trim some bushes for 30 minutes, and put down some mulch for 35 minutes. she will also need 20 minutes to shower and get dressed. what time should she start the work so she will be ready at 1: 00?

Vivian should start working by 10.25 am.

Step-by-step explanation:

Time taken to mow the lawn = 1 hour and 10 minutes

Time to trim bushes = 30 minutes

Time for putting down mulch = 35 minutes

Time to get dressed = 20 minutes.

Total time = 1 hour + (10+30+35+20) minutes

= 1 hour + 95 minutes

= 1 hour + (60+35) minutes

= 1 hour + 1 hour + 35 minutes

= 2 hours 35 minutes.

This means Vivian should start working 2 hours 35 minutes before 1:00 pm.

So, it becomes ; 10:25 am.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

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step-by-step explanation: