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
guajiro [1.7K]
3 years ago
6

Officials begin to release water from a full man-made lake at a rate that would empty the lake in 6 weeks, but a river that can

fill the lake in 20 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed.
Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

8 \frac{4}{7}

Step-by-step explanation:

The computation of the number of weeks taken for empty the lake is shown below:

Given that

Lake empty in 6 weeks

The River could fill the lake in 20 weeks

Let us assume the combined lake be x

So, here the equation is

\frac{1}{6} - \frac{1}{20}  = \frac{1}{x}

\frac{20 - 6}{6\times 20} = \frac{1}{x}

\frac{14}{6\times 20} = \frac{1}{x}

After solving this

x = \frac{60}{7} \\\\= 8 \frac{4}{7}

hence the number of weeks that take for empty the lake is 8 \frac{4}{7}

You might be interested in
Find the least common denominator x^4/x^2+2x+1 and -8/x^2+5x+4
Harman [31]

Answer:

(x + 4)(x + 1)(x + 1)   or (x + 4)(x + 1)²

Step-by-step explanation:

Factor both denominators and see what you are missing between them

(x^4)/[(x + 1)(x + 1)           -8/[x + 4)(x + 1)]

So in order to get a common denominator, we need

(x + 4)(x + 1)(x + 1) as a denominator, or (x +4)(x + 1)²

6 0
3 years ago
Evaluate f(x) = 2x +3 for f(4)<br> a-11<br> b-8<br> c-4<br> d-3
Scrat [10]

Answer:

the answer is a-11

Step-by-step explanation:

f(x)=2x+3

f(4)=2(4)+3

f(4)=8+3

f(4)=11

5 0
2 years ago
Rearrange the formula, a=1/2bh , to solve for b in terms of A and h.
Kryger [21]
Multiply both sides by 2 to cancel out the 1/2 and you get 2a=bh then divide both sides by h to isolate b and you get (2a)/h=b
7 0
3 years ago
How do you factor the expression 7+28 using the gcf
Studentka2010 [4]

Answer:

7+28

(7)(1) + (7)(4)

7(1 + 4)

5 0
3 years ago
There are 86400 frames of animation in 1 hour of anime. How many frames are there per second?
a_sh-v [17]

Answer:

1400

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help me
    13·1 answer
  • Please help me solve x
    5·1 answer
  • Verify as an identity: cos(90°+x) = -sinx<br> I'm not sure how to go about this question
    12·1 answer
  • Bethany knits hats and scarves. A hat takes her 1.5 days, and a scarf takes her 4 days. Bethany recently spent 18 days knitting
    6·1 answer
  • The point halfway between two endpoints of a line segment is
    10·1 answer
  • The surface area of a solid is 10 square feet. The dimensions of a similar solid are
    15·1 answer
  • PLEASE HELPPPPP!!!!!!!!!!!!!!!Which relationships have the same constant of proportionality between y and x as the following gra
    10·1 answer
  • Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its products is a traditional three-strand cl
    9·1 answer
  • Pls help me get this right..
    8·2 answers
  • According to a poll, 56% of voters support funding a new community center. A surveyor randomly selects 75 voters and asks each v
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!