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
MrMuchimi
3 years ago
12

A alone can complete a work in 16 days and B alone can complete the work in 12 days. How many days will it take to complete the

work if they work on alternate days starting from A.
Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:

14 days

Step-by-step explanation:

1. Convert the amount of work person A and B can do respectively in one day into fractions.

                                        A = 1/16                  B = 1/12

2. Get both fractions to a common denominator using the least common multiple. This is 48.

                                1/16 × 3 = 3/48        1/12 × 4 = 4/48

3. Add both fractions to find out how much work will be done in two days.  We are doing this because we are working in a pattern, and this will allow us to multiply, which is more time efficient than repeatedly adding 3 and then 4.

                                               3/48 + 4/48 = 7/48

4. Figure out how many sets of two days work (7/48) will get them to 48/48 (100% done) or closest to it without being under. This would be 7 sets.

                                               7/48 × 7 = 49/48

5. Multiply 7 by 2. We are doing this because we worked in sets of two days to account for A working and then B, since they are taking turns.

                                                    7 × 2 = 14

6. It will take them 14 days.

You might be interested in
A bedroom wall is 12 feet long. A decorator places the center of a square painting that has side lengths of 3 feet in the exact
antiseptic1488 [7]

the answer is 9 feet

cuz 12-3=9

8 0
2 years ago
It is impossible to create a square pyramid by rotating a shape about an axis because its base is not ________.
natta225 [31]
It is impossible because it's base is not circular. A solid of revolution is <span>obtained by rotating a </span>plane curve<span> around some </span>straight line, that is, <span>the </span>axis of revolution that lies on the same plane. The closest to a square pyramid applying this concept is by rotating a right triangle around the opposite or adjacent side (the axis), but the shape that you get is a straight circular cone. 
7 0
3 years ago
??? Anyone know how to answer this question
True [87]
Answer: 35 additional teachers are needed

-------------------------------------------------
-------------------------------------------------

Explanation:

We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio

2470/x = 26/1

where x is the number of teachers. Cross multiply and solve for x

2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95

So we have 95 teachers currently

-------------

Let y be the new number of teachers needed to bring the ratio down to 19:1

Using a similar idea as done above, we would have this ratio

2470/y = 19/1

Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130

So we'll need 130 teachers to have the ratio be 19:1

The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
5 0
3 years ago
I need help what is n?
skad [1K]

Answer:

x=-7

Step-by-step explanation:

-30=5(x+1)

6-1(x+1)

x=-1-6

=-7

6 0
3 years ago
Read 2 more answers
Jack bought a car for $17,500. The car loses $750 in value each year. Which equation represents the situation? Question 9 option
yuradex [85]
If im understanding this correctly, to find the value of the car after x amount of years, the answer would be 17,500 - 750(x)
5 0
2 years ago
Read 2 more answers
Other questions:
  • HELP PLEASEEEEEEEEEE!
    10·1 answer
  • What is the answer to this 8-(-8)=
    8·2 answers
  • An expression is given.
    8·1 answer
  • Which has gradient -1/2 and cuts the y-axis at 4​
    11·1 answer
  • D) $1.35 Which expression is equivalent to 2x - 17?<br>​
    14·1 answer
  • Suppose that 5 workers can complete a certain task in 9 days. If there are 15 workers, how many days would
    12·1 answer
  • PLS HELP ASAP! GIVING BRAINLIST!
    8·1 answer
  • Help struggling on this
    12·1 answer
  • Classify the following triangle as acute, obtuse, or right.
    13·2 answers
  • Select the scenario that correctly represents the given graph (A the number of views on a video
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!