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
Whitepunk [10]
2 years ago
6

Three men went into a second-hand shop to buy a

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
7 0

Step-by-step explanation:

The trick here is to realize that this is not a sum of the money that the three people paid originally, as that would need to include the money the clerk has ($25). This is instead a sum of a smaller amount the people could have paid ($9 × 3 people = $27), added with the additional money that the clerk would not have needed had they paid that smaller amount ($27 paid - $25 actual cost = $2). Another way to say this is, the $27 already includes the bellhop's tip. To add the $2 to the $27 would be to double-count it. So, the three guests' cost of the room, including the bellhop's tip, is $27. Each of the 3 guests has $1 in his pocket, totaling $3. When added to the $27 revised cost of the room (including tip to the bellhop), the total is $30.

To obtain a sum that totals to the original $30, every dollar must be accounted for, regardless of its location.

Thus, the sensible sum can be expressed in this manner:

You might be interested in
Segments AB, DC and Ec intersect at point C. Angel DCE measures 148. Find the value of x.
Anna71 [15]

The image is attached.

Answer:

x = 16°

Step-by-step explanation:

Segment AB, segment DC and segment EC all intersect at point C.

Here, we are told angle DCE measures 148°.

This is a semi-circle, and the total angle of a semi-circle is 180°.

Which means, x+x+148 = 180

Solving for x, we have:

x+x+148 = 180

2x + 148 = 180

2x = 180 - 148

2x = 32

x = \frac{32}{2}

x = 16°

The value of x is 16°

6 0
3 years ago
If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)
\\\\\\
inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
\\\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
2 years ago
7 2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade?​
lukranit [14]
Take to total number of people attending and subtract the number of adults. The remainder are the children

2,451 - 745 = 1,706
7 0
2 years ago
Fundamental theorem of calculus<br> <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D
mr_godi [17]

Answer:

\displaystyle g'(s) = (s-s^4)^6

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt  \right] = f(x)

Where <em>a</em> is some constant.

We can let:
\displaystyle g(t) = (t-t^4)^6

By substitution:

\displaystyle g(s) = \int_6^s g(t)\, dt

Taking the derivative of both sides results in:
\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]

Hence, by the Fundamental Theorem:

\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\  & = (s-s^4)^6\end{aligned}

3 0
2 years ago
Difference between x+5 and 2x+3
solniwko [45]
-x+8
I wrote out the problem above to my best knowledge

7 0
2 years ago
Other questions:
  • H(x) = x² + 9<br> a. h(2) =<br> C.<br> If h(x) = 9, x =
    8·1 answer
  • What is the solution to the system of linear equations?
    7·2 answers
  • What is the the highest common factor of 25 and 45?
    14·1 answer
  • The circumference of circle a is 3 times greater than the circumference of circle
    11·1 answer
  • Pease help me i really need this
    7·2 answers
  • If, f(x) = x^2 + 3x -2, then f(a + 1) =<br><br> I hate homework
    6·1 answer
  • Lawrence middle school is painting a circle on their playground with a radius of 7 feet what will be the total area of the circl
    8·1 answer
  • According to the article, "How Can Your Smartphone Make Water Safe to Drink," less than 1% of phone's battery disinfects how muc
    12·1 answer
  • Evaluate. [(1 1/3−2/3)⋅(−3/4)^3]÷(−2) What is the value of the expression? Enter your answer as a simplified fraction in the box
    13·1 answer
  • the ratio of boys to girls in a chorus is 5:6. which shows an equivalent ratio. Use a proportion to solve. A 10 boys to 12 girls
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!