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
iren2701 [21]
3 years ago
13

Sarah needs to have a plumber come to her house and fix a leaky faucet in her bathroom. The plumber charges $50 to come to her h

ome and an additional $30.75 every hour he works on the job. Sarah only has $234.50 in her savings for the repair. What is the maximum amount of hours that Sarah can have the plumber work on her faucet ?
Mathematics
1 answer:
klio [65]3 years ago
3 0

Answer:

Sarah can have the plumber work on her faucet for six (6) hours maximum

Step-by-step explanation:

Hi

As Sarah has only $234.50 in her savings and the plumber charges $50 just to come to her home, so left-over $184.50 of her saving for pay work hours.

Then as the plumber charges $30.75 per hour we have that \frac{\$ 184.50}{\$ 30.75/h}=6h is the maximum amount of hours that Sarah can have the plumber work on her faucet.

You might be interested in
Evaluate : limx→ tan2-sin2x x3
GrogVix [38]

Given:

\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}

Solve:

\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}

Use l'hopital's rule:

\begin{gathered} =\lim _{x\to0}\frac{\frac{d}{dx}(-\sin 2x+\tan 2x)}{\frac{d}{dx}(x^3)} \\ =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \end{gathered}

Simplify:

\begin{gathered} =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \\ =\lim _{x\to0}\frac{2(-\cos (2x)+\tan ^2(2x)+1)}{3x^2} \end{gathered}

Apply the constant multiple rule:

\begin{gathered} \lim _{x\to0}cf(x)=c\lim _{x\to0}f(x) \\ \text{With c=}\frac{2}{3} \\ f(x)=\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2} \end{gathered}\begin{gathered} =\frac{2\lim _{x\to0}\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2}}{3} \\ =\frac{2\lim _{x\rightarrow0}\frac{(4\tan ^2(2x)+4)\tan (2x)+2\sin (2x)}{2x}}{3} \end{gathered}

Similary :

\begin{gathered} =\frac{2\lim _{x\to0}(2\cos (2x)+12\tan ^4(2x)+16\tan ^2(2x)+4)}{3} \\ =\frac{2(6)}{3} \\ =4 \end{gathered}

8 0
1 year ago
A researcher investigating whether joggers are less likely to get colds than people who
STatiana [176]
Your answer is b bro
8 0
3 years ago
Find the product of<br> (-2 x5y3 )( 3x2y )
Y_Kistochka [10]

Answer:

(-2 x5y3 )( 3x2y )= -180 x2 y2

7 0
3 years ago
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume
san4es73 [151]

Answer:

d = 3  meters

Step-by-step explanation:

d = rt where d is the distance t is the time and r is the constant of proportionality

d = 18t

Changing 10 minutes to hours

10 minutes * 1 hours / 60 minute = 1/6 hour

d = 18 * 1/6 hour

d = 3  meters

7 0
3 years ago
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
aliya0001 [1]

Answer:

78r²s

Step-by-step explanation:

well you add 49 and 42 and 28 and subtract 41 bc they have the same symbols afterwards, and you get that

5 0
3 years ago
Other questions:
  • plant A is 18 inches tall after one week 36 inches tall after two weeks 56 inches tall after three weeks plant B is 18 inches ta
    15·1 answer
  • If you have 2 kids and 2 left how many you got
    5·1 answer
  • The table shows the changes in the times (in seconds) of four teammates. What is the mean change? Write your answer as a decimal
    15·1 answer
  • 4 less than 10 times a number = 126
    8·2 answers
  • The triangle below is an equilateral triangle. Find x.<br> y +3
    10·1 answer
  • A theater can seat 160 people . If the theater is 60%full, how many more can fit in the theater
    6·2 answers
  • ANSWER FAST PLEASE PLEASE PLEASE
    10·2 answers
  • Which letter in the word HAPPY has an order 2 rotational symmetry?<br><br> H<br> A<br> P<br> Y
    14·2 answers
  • Can you help me solve this problem? Also please show your work.
    8·1 answer
  • ⚠️ILL GIVE BRAINIEST, please answer with a full sentence or more. The graph of a quadratic relationship is in the shape of a par
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!