A cars gas mileage refers to its rate in miles traveled per gallon of gas. Kara's family is thinking about renting a camper that can travel 3 1/2 miles on 1/3 gallon of gas. Kara wants to know the gas mileage of the camper.

Answers

Answer 1

Answer: 10 ¹/₂ miles per gallon

Step-by-step explanation:

The gas mileage of the camper refers to the distance (in miles for this question) that the camper can travel on 1 gallon of gas.

The camper can travel 3¹/₂ miles on ¹/₃ gallons so the mileage is:

= Distance traveled/ Gallons used

= 3¹/₂ ÷ ¹/₃

= 7/2 * 3/1

= 21 / 2

= 10 ¹/₂ miles per gallon


Related Questions

What function represents the pattern shown in the table?

Answers

Given:

The table of values of an exponential function.

To find:

The function for the given table of values.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]        ...(i)

Where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.

[tex]9=ab^1[/tex]        ...(ii)

[tex]36=ab^2[/tex]       ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{36}{9}=\dfrac{ab^2}{ab}[/tex]  

[tex]4=b[/tex]  

Putting [tex]b=4[/tex] in (ii), we get

[tex]9=a(4)^1[/tex]

[tex]\dfrac{9}{4}=a[/tex]

Putting [tex]a=\dfrac{9}{4},b=4[/tex] in (i), we get

[tex]y=\dfrac{9}{4}(4)^x[/tex]

[tex]y=9(4)^{x-1}[/tex]

The function notation with variable n is:

[tex]f(n)=9(4)^{n-1}[/tex]

Therefore, the correct option is D.

Please help me ASAP!!!
A circular pizza has a diameter of 16 inches. Each slice of pizza has a central of angle 45°. What is the area of each slice of pizza?

A. 3.1 in²
B. 6.13 in²
C.25.1 in²
D. 100.5 in²

Answers

Answer:

First, let's find the area of the whole pizza:

Area of circle = pi x r^2

r = 16 / 2

r = 8

Area of pizza = pi x 8^2 = 64pi

Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:

64pi / 8 = 8pi

The area of each slice is then 8pi in.^2

Step-by-step explanation:

does this function equal 4 on the interval [4, 5]?

[tex] \frac{10 \cos(xπ) }{x-2} [/tex]

Answers

=- No way

Step-by-step explanation:

Which quadratic expression is in vertex form?

Answers

D is correct DONT thank me

1. ¿Cuál de las siguientes opciones es verdadera respecto de las propiedades de las ondas? A) El período y la frecuencia son inversamente proporcionales. B) El período no se relaciona con la frecuencia. C) El periodo es el número de ciclos en un cierto tiempo d) El período y la frecuencia son directamente proporcionales.

Answers

Answer:

         

Step-by-step explanation:

An insect population doubles every week. The function f(x)= 10(2)^x models the insect population after x weeks what will the population be after 4 weeks?
A.80
B.20,000
C.160

Answers

Given:

The insect population function is:

[tex]f(x)=10(2)^x[/tex]

Where x is the number of weeks.

To find:

The population after 4 weeks.

Solution:

The population of insect after x weeks is given by:

[tex]f(x)=10(2)^x[/tex]

We need to find the population after 4 weeks.

After substituting [tex]x=4[/tex], we get

[tex]f(4)=10(2)^4[/tex]

[tex]f(4)=10(16)[/tex]

[tex]f(4)=160[/tex]

The population after 4 weeks is 160. Therefore, the correct option is C.

The diameter of a circle is 4cm. Find it area to nearewt tenth.​

Answers

Answer:

12.6cm

Step-by-step explanation:

12.6 cm²

Area formula: (A = πr²)

If the diameter is 4 cm.. then that would mean the radius is 2 cm because the radius is half of the diameter. So, we already know the radius.. we just have to find the circumference.

Circumference formula: (C = πd) or (C = 2πr)

Finding the circumference : 3.14 × 4 = 12.56 cm

So, we now have the radius and circumference.

Radius = 2 cm

Circumference = 12.56 cm

Finding the Area : 3.14 × 2 × 2 = 12.56 cm²

So, 12.56 rounded to the nearest tenth is 12.6 cm².

Hope this helped! :)

WHAT IS THE WHOLE FOR 3 3/4 PLEASE HELP ME

Answers

Answer:

15/4

Step-by-step explanation:

3. Brian paid $27 for 12 gallons of gasoline. To the nearest
cent, how much did 1 gallon of gasoline cost?
A. $0.44
B. $2.00
C. $2.25
D. $15.00

Answers

Answer:

C that was the answer to mine and it was right

Step-by-step explanation:

which group has a larger median number of bones discovered?

Answers

Answer:

Group A has a larger median

Step-by-step explanation:

Group A : 0,1,2,3,3,3,4,4,5,5,7,7,8,9,9

Group B : 0,1,1,1,1,2,2,2,3,3,3,5,,6,6,7,8,8,9,9,9

You cross the first number out then you cross the last number. You continue that pattern until you have one or two digits left. If you have two digits left, you add them then divide by two. That the median. But, if you only have one digit, that number is the median.

What is 2logs(5x°)+ logs(+6) written as a
single logarithm?

Answers

Given:

The expression is:

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

To find:

The single logarithm expression for the given expression.

Solution:

We have,

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

Using properties of the logarithm, we get

[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex]           [tex][\because \log x^n=n\log x][/tex]

[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]

[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex]          [tex][\because \log a+\log b=\log (ab)][/tex]

Therefore, the correct option is B.

The diameter of a planet is about 10790 mi. The diameter of the​ planet's moon is about 33​% of the diameter of the planet. What percent of the volume of the planet is the volume of its​ moon?

Answers

Answer:

3560.7

Step-by-step explanation:

Jamal's car travels an average of 16.7 miles per gallon of gas.
A full tank of gas is 20 gallons. Jamal has driven 292 miles
since he last filled his gas tank. How many more miles can
Jamal expect to travel on this same tank of gas?

Answers

Answer:

42 miles

Step-by-step explanation:

20 x 16.7 = 334 miles on a full tank of gas

he drove 292 miles so 334 - 292 = 42 miles left

Si sacas una carta al azar de un mazo estándar de 52 cartas, ¿Cuál es la probabilidad de que obtengas una carta que sea menor a cinco o una de diamante?

Answers

Answer: 3

Explanation: 3

Lauren studies for 3 \frac{1}{3} 3 1 ​ hours. She took a break every \frac{2}{3 } 3 2 ​ hour. HOW MANY breaks did she take?

Answers

Answer: 5 times

Step-by-step explanation:

Your question isn't well written but let me rewrite it based on what I believe that you wrote.

Lauren studies for 3 1/3 hours. She took a break every 2/3 hour. How many breaks did she take?

To solve the question, we have to divide the number if hours used in studying by the interval used in taking a break. This will be:

= 3 1/3 ÷ 2/3

= 10/3 / 2/3

= 10/3 × 3/2

= 5

She took a break 5 times

The volume of this cylinder is 16,328 cubic millimeters. What is the height?

Answers

Answer: 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

r = 20 mm

Volume = 16328

h = ?

Formula

V = pi * r^2 * h

Solution

16328 = 3.14 * 20^2 * h

16328 = 3.14 * 400 * h

h = 16328/(3.14 * 400)

h = 16328 / 1256

h = 13

Which of the following is not an integer? I need help!

0.54
0
-45
17

Answers

Answer:

0.54

Step-by-step explanation:

An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.

.54 is not an integer.

A coin is flipped 1000 times in a row. What is the probability that on the 999th flip, the coin will land on tails?

Answers

Answer:

50% chance

Step-by-step explanation:

1/1000 because 999 is 1 less than 1000 meaning it would be 1:1000 or 1/1000

A rocket gets launched straight up into space. What is a possible description
of the rate of change (slope)?

Answers

Answer:

sorry in a hurry

Step-by-step explanation:

A rocket gets launched straight up into space. What is a possible description

of the rate of change (slope)?

i need help please! will mark brainliest

Answers

Answer:

g= - 3x/x-2

Step-by-step explanation:

.Jorge has a square poster that measures 15 centimeters on a side. What is the perimeter of the poster in centimeters?

Answers

Answer:

[tex]A=225cm[/tex]

Step-by-step explanation:

From the question we are told that:

Sides of the square post

[tex]L=15cm[/tex]  

Generally the equation for Area of a square A is mathematically given by

[tex]A=L*B[/tex]

Where L=B

Therefore

[tex]A=15*15[/tex]

[tex]A=225cm[/tex]

How many 2-liter bottles of soda will you need to fill ten 500 milliliter containers?

Answers

Answer:

2.5 bottles

Step-by-step explanation:

10 * 500 ml = 5000 ml

5000 ml = 5 l

5/2 = 2.5

2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.

How many milliliters in 1 liter?

A liter is a cubic meter unit of volume which is equal to 1000 cubic centimeters.

1 liter = 1000 milliliters

Ten 500 milliliter containers

10 × 500 ml = 5000 ml

5000 ml = 5 l

2-liter bottles of soda will you need

5/2 = 2.5bottles

Therefore, 2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.

Learn more about liter;

https://brainly.com/question/2882095

A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet. Find the volume of the suitcase. Tell me the answer as a mixed number in simplest form.

Use the formula: V= lwh
Good luck!

Answers

Answer:

V = 4.22ft^3

Step-by-step explanation:

Length: 2.25ft

Width: 1.5ft

Height: 1.25ft

Length x Width x Height = V

2.25 x 1.5 x 1.25 = 4.22ft, since we're dealing with volume of a 3D space, the answer is 4.22ft^3!

write 0.001574 in scientific notation

Answers

Answer: 1.574 × 10-3

Step-by-step explanation:

To convert 0.001574 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 1.574 × 10-3

Answer:

0.001574 in scientific notation  is 1.574 × 10^-3

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

To convert 0.001574 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 1.574 × 10^-3

Therefore, the decimal number 0.001574 written in scientific notation is 1.574 × 10^-3 and it has 4 significant figures.

Hope this helped!!!

HELP PLEASE 10 POINTS AND BRAINLIEST

Answers

Answer:

the first (c) is the answer:  ΔABC ≅ ΔPQR

Step-by-step explanation:

Solve 2in,3in,and 5in MOOOAAAAN
I BEEP BEEP WANT MORE MOOOOAN​

Answers

Answer:

yo mama

Step-by-step explanation:

Answer:

Wat

Step-by-step explanation:

y o u n e e d a s t e p s I s t e r

1.
A salesman earns $300 a week plus 20% of his sales. Which equation can be used to determine his
salary S if his weekly sales is x dollars?

Answers

Step-by-step explanation:

S = 300 x .20(x)

hope this helps

balança camereial
im fois apresenta superzonit
que
que, em detinterminads
Comincial
imparts Cats
الدم
۔
de​

Answers

Answer:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.

Step-by-step explanation:

Please help! 3 questions ALL multiple choice if you answer them all you will get 30 points! I WILL GIVE YOU BRAINLIST! (NO LINKS PLEASE)

Answers

Answer:

I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.

Step-by-step explanation:

Please help out!!!! :///

Answers

Answer:

last option

Step-by-step explanation:

the middle term is the sum of 4k and 4k which is 8k

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