<u>Answer:</u>
<u>Distance:</u> 6x + 15.5y > 55.5
<u>Time:</u> x + y > 4.5
<u>Step-by-step explanation:</u>
We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.
Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.
We are to write inequalities representing the distance she traveled and the total time she spent training.
<u>Distance:</u> 6x + 15.5y > 55.5
(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)
<u>Time:</u> x + y > 4.5
(she trained for more than 4.5 hours, x hours for running and y hours for biking.
Answer: It's (3,-2)
Step-by-step explanation:
Step-by-step explanation:
Letthenumberofpensbexand
numberofpencilsbey
then
x+y=16ory=16−x
andtheirvalue
8x+1.5y=50
8x+(
2
3
)(16−x)=50
8x+24−(
2
3
)x=50
8x−(
2
3
)x=50−24
(
2
13x
)=26∴x=4
theny=16−x=16−4=12
