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
kykrilka [37]
2 years ago
11

Two hoses A and B together fill a swimming pool in two hours. A does it by herself in three hours less than B. Calculate how man

y hours it takes each to fill the pool.
Mathematics
2 answers:
Sunny_sXe [5.5K]2 years ago
7 0

If hose A takes x hours to fill the pool, hose B will take x+3 hours to fill the pool. So, each hour, A will fill \bf{\dfrac{1}{x}} parts of the pool and B will fill \bf{\dfrac{1}{x+3}} parts. Since using both hoses fills the pool completely, you have to:

                                                          \large\displaystyle\text{$\begin{gathered}\sf \bf{ 1= \frac{1}{x}+\frac{1}{x}+\frac{1}{x+3}+\frac{1}{x+3}     } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ =\frac{2}{x}+\frac{2}{x+3}   } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ =\frac{2x+2x+6}{x(x+3)} } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{ x^2+3x=4x+6\ \Longrightarrow\ \ 0=x^2-x-6=(x-3)(x+2) } \end{gathered}$}

Hose A takes 3 hours to fill the pool and Hose B takes 6 hours.

Roman55 [17]2 years ago
4 0

Answer:

B. Calculate how many hours it takes each to fill the pool

Step-by-step explanation:

You might be interested in
Help asap pls!!! Put steps if possible 3
GarryVolchara [31]

Answer:

i. 15.4

ii.45.2

Step-by-step explanation:

correct me if im wrong

tnx

8 0
2 years ago
Mrs. Smith wants to purchase new markers for
olga_2 [115]

Answer:

off course D

Step-by-step explanation:

follow me say a thanks mark me branliest

7 0
3 years ago
May you help me with this question please
Lostsunrise [7]

Answer:

<em>Option C</em>

Step-by-step explanation:

Consider each of these graphs. Let us formulate an inequality for each of them, and match the one with an inequality of x > - 14.5;

Graph 1, x > 13.5\\Graph 2, x \geq 14\\Graph 3, x > 14.5\\Graph 4, x \geq 15

Graph 3 is the only one that matches with the inequality provided to us.

* Note that shaded circles are represented by a greater / less than or equal to, and non - shaded circles are represented by a greater / less than sign.

<em>Solution ⇒ Graph 3</em>

5 0
3 years ago
Read 2 more answers
Find the are of the SHADED region.
Mazyrski [523]
First find the area of the parallelogram


Area of parallelogram = b x h
= 12 x 7
= 84

Then find area of kite

Area of kite = (xy)/2
= (7 x 12)/2
= 84/2
= 42

Now we are gonna subtract the area of the kite from the area of the parallelogram.

84 - 42 = 42

Therefore the area of the shaded region is 42.
7 0
3 years ago
Select all of the following that represent quadratic expressions:
suter [353]
C. (x + 2)(x + 1)

it can be turned into an equation :)
7 0
3 years ago
Other questions:
  • I'm being timed on this!!!!!!!! GIVING BRAINLIEST!!!!!!!!!!!!!!
    6·2 answers
  • ASAP! PLEASE HELP MEEEE! I WILL GIVE BRAINLIEST!!!
    6·1 answer
  • What is the square root of 64
    8·1 answer
  • Simplify (5x3− x + 14) − (3x2− 9x + 4)
    7·2 answers
  • Brainliest! Fill in the blank with an appropriate inequality sign.
    9·1 answer
  • HIGH AMOUNT OF POINTS
    8·1 answer
  • Graphing points for equations F (x)=1/2 (x)+8
    12·1 answer
  • How many three digit numbers greater than 500 can you form using the digits 2 6 8 exactly once each
    5·1 answer
  • A spherical water tank has a radius of 25 feet. Can it hold enough water to fill a swimming pool 50 meters long, 25 meters wide
    14·1 answer
  • A store sells 6 T-shirts for $58.20. What is the unit cost per T-shirt?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!