1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nadya68 [22]
2 years ago
8

kim can mow the greens at the golf course twice as fast as shayla can. Working together, they can mow the greens in 4 hours. How

long does it take kim to mow the greens alone
Mathematics
1 answer:
anyanavicka [17]2 years ago
8 0

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

You might be interested in
A 25-pound bag of fertilizer is on sale for $40. What is the price per ounce of the fertilizer?
REY [17]

Answer:

1.60

Step-by-step explanation:

6 0
1 year ago
What is the volume of the priam?<br> 5cm<br> 8cm<br> 152 cm
sasho [114]

Answer:

6080

Step-by-step explanation:

5x8x152=6080

7 0
3 years ago
Read 2 more answers
A system of linear equations is graphed. which ordered pair is the best estimate for the solution to the system?
OLga [1]

Answer:

The answer that gives the best estimate is (1,1)

Step-by-step explanation:

i) As can be seen on of the lines intercepts the y axis at (0,-1). So the y

 intercept or c_{1} = -1. Therefore the equation for this line can be written as

 y = m_{1} x + c_{1}    ⇒    y = m_{1} x - 1 . It can also be seen from this graph that the

 line passes through the point (2 , 2). Substituting these values for x and y  

 respectively we get  2 = 2m_{1} - 1    ∴ m_{1} = \frac{3}{2}.  The equation of the first line

 can be written as y = \frac{3}{2} x - 1   ⇒ 2y - 3x = -2

ii) As can be seen on the other line the intercept on the y axis is at (0,2). So

  the y  intercept or c_{2} = 2. Therefore the equation for this line can be  

  written  as  y = m_{2}x + c_{2}    ⇒    y = m_{2} x + 2 . It can also be seen from this  

   graph that  the  line passes through the point (1 , -1). Substituting these

   values for x and  y   respectively we get  1 = 1m_{2} + 2    ∴ m_{2}  = -1 .  The

   equation of the second line  can be written as y = - x + 2   or x + y = 2

iii) Solving the two equations of the two lines respectively as found in i) and

  ii)  we get y = 0.8. We multiply equation in ii) by 3 to get 3x + 3y = 6 and  

  when we add this to equation in i) we get 5y = 4 which means that y = 0.8.

  If we substitute this value in ii) we get 0.8 + x = 2 , therefore x = 1.2.

iv) Therefore we get the solution of the two lines, which is the intersection

    of the two lines as (1.2, 0.8). So the answer that gives the best estimate

    is (1,1)

6 0
3 years ago
2-3x=8 what does x equal?
juin [17]
If you would like to solve the equation 2 - 3 * x = 8 for x, you can calculate this using the following steps:

2 - 3 * x = 8
-3 * x = 8 - 2
-3 * x = 6    /(-3)
x = 6 / (-3)
x = -2

Result: x equals to -2.
7 0
3 years ago
Read 2 more answers
Chris borrowed money from her brother. Each week she pays him $5 toward her debt. After 8 weeks, she has $8 left to pay. This si
Alex

C (0,-42) is your answer

7 0
3 years ago
Read 2 more answers
Other questions:
  • 17) Candy brought 30 cookies to a party. List all the ways she can arrange them on a plate in equal rows.
    8·1 answer
  • Identify the volume of a cone with radius 6 m and height 11 m. HELP PLEASE!!
    12·1 answer
  • Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w
    9·1 answer
  • How do you find the Domain of a function
    5·1 answer
  • Mention 15 examples of vegetables​
    7·1 answer
  • Which of the following is not a credit card perk? A. Cash back B. Hotel Points C. apr D. Air Miles
    5·1 answer
  • 25. What<br> is the equation of the line that has x-intercept = -2 and y-intercept = -4?
    12·1 answer
  • Please help i will give Brainiest (select all that describes the scatterplot)
    15·1 answer
  • What is this pls help me<br> 4/x+11=35/3
    9·1 answer
  • Find the volume of the figure below. pls show solution:)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!