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]
1 year 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]1 year 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]1 year 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
How do I solve this???
olga55 [171]

Answer:

by using the graph!

Step-by-step explanation:

8 0
3 years ago
Write an expression with a negative exponent that has a value between 0 and 1/2
aliya0001 [1]
<span>Exponent is a number used to express shorter equation; it is a number that says how many times you are going to multiply the base number.
</span><span>
Exponents have several laws, here are some:
=> x^1 = x
=> x^0 = 1
=> x^-1 = 1/x
=> x^m x^n = X^m+n
=> x^m/x^n = x^m-n

And since we were asked to write an expression with a negative exponent that has a value between 0 and ½
=> 2^ -2 = ½

</span>



4 0
3 years ago
Seven pounds of grapes cost $10.43 how much would it cost for 3 pounds
lozanna [386]
1. Divide $10.43 by 7 to find out how much each pound of grapes costs.
$10.43/7=$1.49
2. Multiply $1.49 by 3 to find out how much 3 pounds of grapes would cost.
$1.49•3=$4.47
3. So, 3 pounds of grapes would cost $4.47

Hope this helps!
4 0
3 years ago
Which of the following does not satisfy the equation x-2=3.5
Sedbober [7]

Answer:

5.5

Step-by-step explanation:

5 0
3 years ago
The vertex is given at (2,-1), which tells us that h= and k=
earnstyle [38]

Answer:

H=2 k=-1

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • An artist designed a badge for a school club. Figure ABCD on the coordinate grid below shows the shape of the badge.
    12·2 answers
  • Evaluate each expression if a = 6, b = 3, and c = 2.
    8·1 answer
  • Write 17,924 in expanded form
    12·2 answers
  • Indicate in standard form the equation of the line passing through the given points. B(0, 0), C(4, -4)
    11·1 answer
  • A pendulum has 887 J of potential energy at the highest point of its swing. How much kinetic energy will it have at the bottom o
    7·1 answer
  • How many time does x go into zero ?
    6·1 answer
  • David leaves the house to go to school. He walks 200 meters west and
    7·1 answer
  • In MATHEMATICS ...write the empirical formula.​
    6·1 answer
  • What is 10/8 written as a decimal?
    11·2 answers
  • What is the common ratio for this sequence? Hurry!!!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!