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
Simora [160]
3 years ago
8

Autumn drives 825 miles to Florida. The trip takes her 17 hours. She uses 38 gallons of gas on the trip, which cost her $125. Fi

nd her speed. Find her gas mileage. Find the unit price she paid for gas.
Mathematics
1 answer:
Dmitry [639]3 years ago
8 0
speed \: equals \: distance \div time
speed equals 825 divided by 17
speed equals to 48.5miles per hour

gas mileage equals to 825/38
gas mileage equals to 21.7


125/38 equals to 3.3 unit price
You might be interested in
4
Maru [420]

First, we have to understand the slope-intercept form.

\large \boxed{y = mx + b}

A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.

In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.

<em>W</em><em>h</em><em>i</em><em>c</em><em>h</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>r</em><em>e</em><em>p</em><em>r</em><em>e</em><em>s</em><em>e</em><em>n</em><em>t</em><em>s</em><em> </em><em>a</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>a</em><em>r</em><em> </em><em>f</em><em>u</em><em>n</em><em>c</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>h</em><em>a</em><em>s</em><em> </em><em>a</em><em> </em><em><u>s</u></em><em><u>l</u></em><em><u>o</u></em><em><u>p</u></em><em><u>e</u></em><em><u> </u></em><em><u>o</u></em><em><u>f</u></em><em><u> </u></em><em><u>5</u></em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>a</em><em> </em><em><u>y</u></em><em><u>-</u></em><em><u>i</u></em><em><u>n</u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>c</u></em><em><u>e</u></em><em><u>p</u></em><em><u>t</u></em><em><u> </u></em><em><u>o</u></em><em><u>f</u></em><em><u> </u></em><em><u>-</u></em><em><u>6</u></em><em><u>.</u></em>

As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.

Therefore, substitute m = 5 and b = -6 in the equation.

\large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\  \large \boxed{ \tt{ \purple{y = 5x - 6}}}

I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!

5 0
2 years ago
Raul’s grandfather is Miguel, and Raul’s sister is Paula. Raul’s age is the same as his grandfather’s age minus 60 times the age
Lostsunrise [7]

Answer:   The answer is x = 65 - 60y.


Step-by-step explanation:  Given that Miguel is the grandfather of Raul and Paula is Raul's sister.

Now, let 'x' years be the age of Raul and 'y' years be the age of Raul's sister (Paula).

Also, given is the following information -

Raul's age = Grandfather's age - 60 × sister's age.

Since the age of Miguel, Raul's grandfather is 65 years, so we can write the following equation to find Paula's age

x=65-60\times y\\\\\Rightarrow 60y=65-x\\\\\Rightarrow y=\dfrac{65-x}{60}.

Thus, we can find Paula's age (y) using the equation

y=\dfrac{65-x}{60},

where 'x' is the age of Raul.



6 0
3 years ago
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
STALIN [3.7K]

Answer:  b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5   (The probability of getting heads on a fair coin is 0.5)

Significance level : \alpha: 1-0.90=0.10\\

Critical z-value (using z-value table ) : z_{\alpha/2}=1.645

Confidence interval width : w= 0.18

Thus , the margin of error : E=\dfrac{w}{2}=0.09

Formula to find the sample size ( if prior estimate of proportion is known.):-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Substitute the values , we get

n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2

Simplify ,

n=83.5192901235\approx84  [Round of to the next whole number.]

Hence, the number of times we would have to flip the coin =<u>84</u>

hence, the correct answer is b) 84

8 0
3 years ago
Which numbers are irrational? Select all that apply.
suter [353]
Option 1, 2, & 4 are irrational numbers
3 0
3 years ago
Read 2 more answers
A polling organization contacts 1172 male university graduates who have a white collar job and asks whether or not they had rece
hichkok12 [17]

Answer:

The population in the study are those male university graduates who have a white collar job.

Step-by-step explanation:

This is a common statistics practice, when we want to study something from a population, we find a sample of this population.

For example:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

In this problem, we have that:

Sample of 1172 male university graduates who have a white collar job and asks whether or not they had received a raise atnbsp work nbspduring the past 4 months.

What is the population in the​ study?

The sample is of male university graduates who have a white collar job.

So the population in the study are those male university graduates who have a white collar job.

4 0
3 years ago
Other questions:
  • HELP ME PLEASE I NEED HELP ASAP
    11·1 answer
  • 15 POINTS!!!! PLEASE ANSWER!!!!!!!SUPER EASY MATH RPOBLEM!!!!
    11·2 answers
  • Find an equivalent fraction for the decimal number. In your final answer, include all of your work.
    12·2 answers
  • Rked<br> Scon Given that f(x)= x2 - 18 and g(x) = 5x + 19. find (g- 1)(-6), if it exists.
    15·1 answer
  • Terry is 5 1/3 ft her brother is 3/5 the height of tanning how tall is Tammy's brother
    8·1 answer
  • Which fraction names the shades part of the set
    5·1 answer
  • Is 14 quarter inches the most common measurement
    15·1 answer
  • What number is 25% of 7/8?
    15·2 answers
  • Solve the system of linear equations <br> 3x-y=10<br> 2x+y=5
    7·1 answer
  • Helpppppppppppppp:))))
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!