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
julia-pushkina [17]
3 years ago
5

The total cost of a new​ automobile, including a 5​% sales tax on the price of the​ automobile, is $ 26,708. How much of the tot

al cost pf this new automobile is sales tax
Mathematics
1 answer:
RideAnS [48]3 years ago
5 0
Let's say the price without tax of the car is "x", then you add 5% of "x" and it becomes $26,708.

now, if we take "x" to be the 100% of the price, and then adding a 5% of "x" will simply give us a 100 + 5 = 105%, and that's what 26,708 is, thus, 26,708 is the 105%, and if "x" is the 100%, what is "x" anyway?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
x&100\\
26708&105
\end{array}\implies \cfrac{x}{26708}=\cfrac{100}{105}\implies x=\cfrac{26708\cdot 100}{105}
You might be interested in
List the following questions in order least to greatest. What is a nanosecond? what is a millisecond? what is a zeptosecond?
Arisa [49]
I might be wrong but I think zeptosecond comes first then s nanosecond and then a millisecond.
5 0
3 years ago
Chef Rita Is cooking for a Sunday brunch.She knows that 22 pancakes can feed 8 people.She is wondering how many people she can f
AlexFokin [52]

Answer:

Chef Rita can feed 20 people with 55 pancakes.  

Step-by-step explanation:

We can solve this problem using equivalent ratios.  Since we know that Chef Rita can feed 8 people with 22 pancakes, we can set up the ratio:

\frac{22pancakes}{8people}=\frac{22}{8}

To solve how many people she would be able to feed with 55 pancakes, we can set ratios equal to each other and solve for 'x' which is the number of people.  

\frac{22}{8}=\frac{55}{x}

We can see what factor we multiply 22 by to get 55 and then we multiply the denominator by the same factor to get our equivalent ratio.  55 ÷ 22 = 2.5.  So, 8 x 2.5 = 20 people.  

4 0
3 years ago
Read 2 more answers
Plz help 2minutes before class
Crank

Answer:

mon 50.75

tue 47.25

wed 36.05

thur 54.25

fri 36.75

Step-by-step explanation:

I'm not 100% sure if that's right

8 0
3 years ago
Read 2 more answers
How does estimating an addition or subtraction problem help you know if an answer is reasonable?
kiruha [24]

Answer:

It helps you know if the answer is reasonable because when you do the work and get your answer, you can check if it is close to your estimate, and if it is, it is most likely correct. On the other hand if it is not close to the estimate it is most likely wrong, unless you estimated incorrectly.

Step-by-step explanation:

7 0
3 years ago
Find the population mean or sample mean as indicated. Sample: 19, 15, 6, 11, 24 Compute the sample mean for this data set. Selec
yKpoI14uk [10]

Answer:

\overline{x}=15

Step-by-step explanation:

the mean is given by:

\overline{x} = \dfrac{\sum\limits_{i=1}^n x_i}{n} \quad\text{or}\quad \dfrac{\text{sum of all items}}{\text{number of items}}

In our case this is:

\overline{x} = \dfrac{19+15+6+11+24}{5} \Rightarrow \dfrac{75}{5}\\\\\overline{x} = 15\\\\

side note: the main difference between sample mean and population mean is in the 'context'. However, the method to calculate them is the same.

By context I mean: if this the items are taken from some larger category for example: the ages of a few 'students' from a 'class'. Here 'students' are the sample from a larger set that is 'class'. The mean of the 'few students' will be called sample mean. In contrast, if we take the mean of the ages of the whole class then this is called population mean. (population mean == mean of the whole set)

In our case we aren't told exactly where these numbers come from, is this the whole set or a sample from it, the lack of context allows us to assume that the mean can either be population mean or sample mean. So we can safely use any symbol \mu or \overline{x}.

3 0
3 years ago
Other questions:
  • You saved $10,943.89 in an emergency fund. One fourth is in a regular savings account at a 3.5% APR, and the remainder is in a 3
    7·2 answers
  • A logarithmic function is an appropriate model because, for evenly spaced y-values, the ___ of consecutive x-values is constant.
    14·2 answers
  • Six nickels is what percent of one dollar
    11·2 answers
  • the yearbook club had a meeting the club has 12 people and three fourths of the club showed up for the meeting how many people w
    10·2 answers
  • n △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP. Find the area of △ABC if the area of △BMP is
    11·1 answer
  • Ghhmih xghggygtttttttttttgggvce
    6·1 answer
  • Can someone do 11-12?
    12·1 answer
  • Mucho help me please
    5·1 answer
  • What is “y is __ times x”
    13·1 answer
  • A normal score is the expected​ z-score of a data​ value, assuming the distribution of the random variable is normal. Is this st
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!