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
Step2247 [10]
3 years ago
6

A swimming pool's large drain will empty the pool in 3 hours while its smaller drain takes 6 hours. If both drains are opened, h

ow long will it take to empty the pool?
Mathematics
2 answers:
makkiz [27]3 years ago
8 0

Answer:

2 hours

Step-by-step explanation:

6 divided by 3 is 2

Im pretty sure this is correct :)

Alisiya [41]3 years ago
8 0

Answer:

1.5 hours

Step-by Step Explanation:

the smaller drain takes 2x as long by itself then the bigger drain, so it will be 2x as quicker if both are opened.

You might be interested in
Complete the synthetic division problem below.
rewona [7]

Answer:

B

Step-by-step explanation:

- 2 | 2   2   - 2   4

      ↓  - 4    4   - 4

    --------------------------

      2   - 2   2    0 ← remainder

Since the remainder = 0 then (x + 2) is a factor

quotient = 2x² - 2x + 2

4 0
3 years ago
A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as
mamaluj [8]

Answer:

The farmer have at first <u>202</u> chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be x.

And, the ducks be y.

<em>As, the farmer had twice as many chickens as ducks on his farm.</em>

So, x=2y    ......(1)

<em>As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.</em>

According to question:

x-166=(y-29)\times \frac{1}{2}

x-166=\frac{y-29}{2}

Substituting the value of x from equation (1) we get:

2y-166=\frac{y-29}{2}

<em>By cross multiplying we get:</em>

4y-332=y-29

<em>Adding both sides 332 we get:</em>

4y=y+303

<em>Subtracting both sides by </em>y<em> we get:</em>

3y=303

<em>Dividing both sides by 3 we get:</em>

y=101.

Now, to get the number of chickens substituting the value of y in equation (1):

x=2y\\\\x=2\times 101\\\\x=202.

Therefore, the farmer have at first 202 chickens.

7 0
3 years ago
Verifying Properties of logarithms In Exercise,use a graphing utility to verify that the functions are equivalent for x &gt; 0.
Ede4ka [16]

Answer:

Applying Quotient and power rule. Graphically, for x>0 both curves coincide.

Step-by-step explanation:

1) Firstly, by applying the Quotient and then the Power Rule, we have a subtraction of the argument and, finally the exponent turns to be the coefficient. As it follows:

lnx=log_{e}x\\\\f(x) = ln({\frac{x^{2}}{4}})\Rightarrow f(x)=ln{x^2}-ln4\Rightarrow f(x)=2lnx-ln4\\g(x) = 2 ln x - ln 4

2) Check the graph below to see this equivalence. to see x>0 they  both coincide.

7 0
3 years ago
A dilation has center (0, 0). Find the image of each point for the given scale factor.
pshichka [43]

Answer:

A. (−3,5)

Step-by-step explanation:

The rule for dilation by scale factor k is given by:

(x,y)\to (kx,ky)

The given point is P(-3,5) and the scale factor is k=1

We substitute the point and the scale factor into the rule to get:

P(-3,5)\to P'(-3\times1,5\times1)

This gives us:

P(-3,5)\to P'(-3,5)

The correct answer is A

3 0
3 years ago
a square is put together by two triangles. the hypotenuse is 11 cm and width if 8 cm. find the height of the triangle.
maksim [4K]

Answer:

b ≈ 7.54 cm

Step-by-step explanation:

Pythagorean Theorem

a² + b² = c²

a and b are the sides and c is the hypotenuse

hypotenuse is 11 cm

a side is 8 cm

so

8² + b² = 11²

64 + b² = 121

-64           -64

       b² =  57

    √b² =  √57

       b ≈ 7.54 cm ( use ≈ because its rounded so its not exact)

3 0
3 years ago
Other questions:
  • Which of these r-values represents the strongest correlation? A. -0.6 B. -0.9 C. -0.7 D. -0.8
    13·2 answers
  • if a soup recipe calls for 1 cup of carrots for every 3 cups of chicken how many cups of carrots are needed if we have 18 cups o
    12·2 answers
  • Which property would be useful in proving that the product of two rational numbers is ALWAYS rational? A) a b + c d = ad + bc bd
    10·2 answers
  • The student council at Spendtoomuch High School is
    10·1 answer
  • Write a linear equation with slope -1 and y intercept of 3
    10·1 answer
  • Oil is pumped into a tank at a rate of Q(t)=45-t gallons per minute where time is t is measured in minutes how many gallons are
    7·1 answer
  • Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
    12·1 answer
  • A train moves at a constant speed. The train travels 13
    10·1 answer
  • Help me graph this pls!<br> y=-(2)/(3)x+2
    7·1 answer
  • The county fair charges $1.25 per ticket for the rides. Spencer bought 17 tickets for the rides and spent a total of $30.75 at t
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!