You are allowed to work a total of no more than 30 hours each week at your two jobs. Lawn mowing pays $5 per hour and babysitting pays $8 per hour. You need to earn at least $300 per week. You decide to write a system of inequalities to help determine the amount of time you can work at each job, where x represents the number of hours you mow lawns y represents the number of hours you babysit. You write the first inequality as x+y<30. Write the second inequality you would use for this system .

5X + 8Y >= 300;    intersection at  (-20, 50)

Step-by-step explanation:

let t = work hours

0 < t < 30

X = time lawn mowing

Y = time babysitting.

X + Y < 30

5X + 8Y >= 300

We could solve...

X < 30 - Y

5(30 - Y) + 8Y  >=300

150 - 5Y + 8Y >= 300

3Y >=150

Y >=50

then  X < -20  

intersection at  (-20, 50)

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

click to let others know, how is it

0.0

0 votes

1

report

read more on -

step-by-step explanation: