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kakasveta [241]
4 years ago
6

Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complet

e the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together. Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Cody ALONE = 8 hours 
Kaitlyn ALONE = 6 hours 
Let Joseph ALONE take j hours 
Cody ALONE in 1 HOUR = 1/8 of the work Kaitlyn ALONE in 1 hour = 1/6 of the work Joseph ALONE in 1 HOUR = 1/j of the work 
Since TOGETHER they take X hours, in 1 hour TOGETHER they complete 1 / X of the work 
1/8 + 1/6 + 1/j = 1/X 
1/j = 1/X - 1/8 - 1/6 = (24 - 3X - 4X ) /24X = (24 - 7X ) / 24X 
j = 24X / ( 24- 7X ) 
After completing the work value of X will be known , calculate j from the above formula ANSWER
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There is a 1/3 chance both will land on 6.
3 0
3 years ago
65 - 2x ≥ 150, whats the answer!!!
Sidana [21]

Answer:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

2x <= -85

x <= -85/2

x <= -42.5

6 0
2 years ago
(4 pts) If a rock is thrown vertically upward from the surface of Mars with an initial velocity of 15m/sec
Yuliya22 [10]

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

s(t)=-1.86t^2+15t  That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

7 0
2 years ago
The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 5 h
kogti [31]

v=d/t

44=d/5

d=220 mile

v=220/11

v=20 mph

7 0
3 years ago
Louis brings 79 pencils to school. After he gives each of his 15 classmates an equal number of pencils, he will give any leftove
slavikrds [6]

Answer:

a. 4\ pencils

b. His teacher will receive more pencils (See explanation).

Step-by-step explanation:

a. The total number of pencils Louis brings to school is:

total\ pencils=79

Then, in order to calculate the number of pencils Louis’s teacher will receive after he gives each of his 15 classmates an equal number of pencils, you need to solve the division show in the picture attached.

Notice that the remainder obtained is: 4.

<em>This means that Louis’s teacher will receive 4 pencils.</em>

b. If Louis decides instead to take an equal share of the pencils along with his classmates, his teacher will receive more pencils; because the amount of pencils each classmate will receive will be less. This means that the number of pencils leftover will increase, leaving more pencils for his teacher.

4 0
3 years ago
Read 2 more answers
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