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
IceJOKER [234]
2 years ago
15

On their way up the hill, Jack and Jill were stopped by their parents. It seems the two of them were trying to skip out on some

chores. They were told to mow the lawn, clean the kitchen, and sweep the leaves off the deck. If Jack can complete all the chores in 3 hours by himself and Jill takes only 2.25 hours to get all of it done on her own, how many minutes will it take for the two of them to get the work done together
Mathematics
1 answer:
Katarina [22]2 years ago
3 0

Answer:

77.14 minutes.

Step-by-step explanation:

Jack's time = 3 hours

Jill's time = 2.25 hours = 2 1/4 = 9/4 hours

Combined time = x

Rates :

Jack = 1/3 ; jill = 1 / 2.25 = 1 / 9/4 = 4 /9

Combined rate = 1/x

Setting up the equation :

1/3 + 4/9 = 1/x

Lcm of 3 and 9 = 9

(3 + 4) / 9 = 1/x

7/9 = 1/x

Cross multiply :

7x = 9

x = 9/7 hours

x = (9/7)* 60

x = 77.14 minutes

Combined time = 77.14 minutes.

You might be interested in
If angle 3 is 3x and angle 5 is 2x+30, what are the measures of angle 3 and 5?
Crank

Answer:

23

Step-by-step explanation:

5 0
3 years ago
Write an algebraic expression for the product of a number squared and 4
S_A_V [24]
Let n represent unknown number
4n^2 is the final answer. Hope it help!
3 0
3 years ago
A jar contains 3 red, 2 white, and 1 green marble. Aside from color, the marbles are indistinguishable. Two marbles are drawn at
IRISSAK [1]

Answer:

0.6

Step-by-step explanation:

A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.

Order matters in case of permutations but does not matter in combinations.

Given:

Number of red marbles = 3

Number of white marbles = 2

Number of green marbles = 1

To find: probability of picking 4 marbles and getting one of each color

Solution:

Total number of outcomes = 6_C__4 = \frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15

Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = 3_C_2\,2_C_1\,1_C_1+3_C_1\,2_C_2\,1_C_1 = \frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9

So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes =\frac{9}{15}=\frac{3}{5}=0.6

4 0
3 years ago
What is the sum of interior angels of an octagonal box?
Gala2k [10]
8-2=6
180×6=1080 degrees
sum of interior angle of an octagonal box = 1080 degrees
8 0
3 years ago
Read 2 more answers
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
Other questions:
  • 36 1/4% written as a fraction please?
    8·1 answer
  • 7 is divided by a number.<br> As an expression
    9·1 answer
  • Students hike 16,900 feet one morning and 14,850 feet in the afternoon. Estimate the total number of miles they hiked that day.
    9·2 answers
  • An equation is shown below:
    10·1 answer
  • 144 out of 600 students took Business Mathematics. What percent of students did not take the course?
    9·2 answers
  • HELP!!!!!
    12·2 answers
  • I need help plssss :)
    5·1 answer
  • Which number has the greater value, 7*10^-9 or 6*10^-4
    8·1 answer
  • Which transformation maps the strip pattern onto itself?
    8·1 answer
  • find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long round your answer to the nearest 10t
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!