answer.
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
Leto [7]
2 years ago
12

Suppose that a person with a push mower can mow a large lawn in 5 ​hours, whereas the lawn can be mowed with a riding lawn mower

in 3 hours. working​ together, how long will it take to mow the​ lawn?
Mathematics
1 answer:
Reil [10]2 years ago
6 0
------------------------------------------------------------------
Push Mower
------------------------------------------------------------------
It takes 5 hours to complete the job
1 hour = 1/5 of the job

------------------------------------------------------------------
Riding Lawn Mower
------------------------------------------------------------------
It takes 3 hours to complete the job
1 hour = 1/3 of the job

------------------------------------------------------------------
Push Mower + Riding Lawn Mower
------------------------------------------------------------------
1 hour = 1/5 + 1/3 
1 hour = 3/15 + 5/15 
1 hour = 8/15 of the job.

------------------------------------------------------------------
Calculate time needed to complete
------------------------------------------------------------------
8/15 of the job takes 1 hour
8/15 of the job = 1 hour 

------------------------------------------------------------------
Divide by 8/15 on both side
------------------------------------------------------------------
8/15 ÷ 8/15 of the job = 1 ÷ 8/15 hour
Whole of the job = 1 x 15/8 hours
Whole of the job = 15/8 hours
Whole of the job = 1 7/8 hours

------------------------------------------------------------------
Answer: 1 7/8 hours
------------------------------------------------------------------

You might be interested in
The list shows the area in square feet of each apartment available for rent in a building. 565, 961, 867, 517, 627, 714, 517, 72
gladu [14]
STEP 1:
put numbers in order from lowest to highest
517, 517, 565, 627, 714, 728, 867, 961

STEP 2:
find the difference between the lowest and highest numbers

961 - 517= 444 ft^2 range

ANSWER: The range of the areas is 444 ft^2.

Hope this helps! :)
8 0
2 years ago
Read 2 more answers
An elevator in a tall building goes up 7 floors, then
3241004551 [841]

Answer: he started on 14th floor

Step-by-step explanation:

14 + 7 - 9 - 4 + 8 - 2= 14

It started on floor 14

5 0
2 years ago
Solve for x*<br> (17x - 8)
djyliett [7]

Answer:x=4

Step-by-step explanation:

This triangle is an equilateral triangle with all angles equal.

Sum of angles in a triangle=180

17x-8+17x-8+17x-8=180

Collect like terms

17x+17x+17x-8-8-8=180

51x-24=180

51x=180+24

51x=204

Divide both sides by 51

51x/51=204/51

x=4

3 0
2 years ago
If a new star appeared in our solar system that was larger and heavier than the Sun, the planets would MOST LIKELY
crimeas [40]

Answer:

C

Step-by-step explanation:

I think that the planets will keep orbiting the sun but i think the planets might cross paths with the new star.

7 0
2 years ago
What is the exact value of the cos F?
Galina-37 [17]

Answer:

cos(F) = 9/41

Step-by-step explanation:

The triangles are similar, so you know that ...

... cos(D) = cos(A) = 40/41.

From trig relations, you know ...

... cos(F) = sin(D)

and

... sin(D)² +cos(D)² = 1

So ...

... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)

... cos(F) = 9/41

_____

The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.

From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know

... cos(F) = cos(C) = 9/41

7 0
2 years ago
Other questions:
  • this past Sunday, the giants scored 9 less than twice the cowboys. the packers scored 14 points more than the giants. if the tea
    12·1 answer
  • Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a
    12·1 answer
  • The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes
    12·1 answer
  • A restaurant bill is $21. You leave a 15% tip. How much do you pay including the tip?​
    6·2 answers
  • If m∠C = 90°, side c = 29, and side a = 21, then side b = ___. 20 19 22 17
    10·2 answers
  • The mathematical term parallel lines explicitly uses the undefined term(s) . The mathematical term perpendicular lines explicitl
    12·2 answers
  • The data on the scores obtained by students in five different entrance exams have been collected from 50 colleges and they are p
    10·1 answer
  • 6.6.1. Rao (page 368, 1973) considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also di
    5·1 answer
  • The senior class purchased pizza to sell after school for $320. If they sell pizza by the slice they make $2 per slice. If they
    10·2 answers
  • A large school district is considering moving up the start date for the school year by two weeks. In order to determine if famil
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!