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
sergij07 [2.7K]
3 years ago
7

Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. (Assume the car travels the same distanc

e for each one gallon of gas)
The number of miles traveled varies directly with the number of gallons of gas you use.
a. Write an equation that relates miles traveled to gallons of gas used. (Use any variable you like in the equation.

b. How far can you drive with 3.7 gallons of gas? (Make sure to show the calculations you did to determine this answer)
Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Suppose you drive a car 392 miles on one tank of gas. The tank holds 14 gallons of gas. This means that

1 gallon of gas would be used to drive 392/14 = 28 miles

a) The number of miles traveled varies directly with the number of gallons of gas used.

Let x =number of gallons of gas you use.

Let y = the number of miles travelled.

Since y varies directly with x, we will introduce a constant of proportionality, k. Therefore,

y = kx

If 28 miles will require 1 gallon of gas, it means

28 = 1×k

k = 28

So y = 28x

b) we want to determine how far you can drive with 3.7 gallons of gas.

x = 3.7

y = 28x = 28×3.7

y = 103.6 miles

You might be interested in
Explain how combining like radicals is similar to combining like terms.
pickupchik [31]

Answer:

Just like combining like terms with the same variables, you combine like

radicals with the same number under the radical signs.

Step-by-step explanation:

Example:

3x + 2x

= 5x   {combined like terms}

3√2 + 2√2

= 5√2   {combined like radicals}

3 0
3 years ago
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(θ) + sin(10
vivado [14]

Answer:

Step-by-step explanation:

x = cos θ + sin(10θ)

y = sin θ + cos(10θ)

Take derivative with respect to θ:

dx/dθ = -sin θ + 10 cos(10θ)

dy/dθ = cos θ - 10 sin(10θ)

Divide:

dy/dx = (dy/dθ) / (dx/dθ)

dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))

Evaluate the derivative at θ=0:

dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)

dy/dx = 1/10

Evaluate the parametric functions at θ=0:

x = cos 0 + sin 0 = 1

y = sin 0 + cos 0 = 1

Writing the equation of the tangent line in point-slope form:

y - 1 = 1/10 (x - 1)

6 0
3 years ago
If Aniyah can run 6.5 miles per hour, and she runs for 15 minutes, how far did she go?
zhenek [66]

Step-by-step explanation:

PRIMERO CONVIERTES MINUTOS A HORAS

15 MIN = 0.25 h

LUEGO CON LA ECUACIÓN DE GALILEI:

<em>x</em> = 6.5 mi/0.25 h = 26 mi

3 0
3 years ago
Americans who are 65 years of age or older make up 12.2% of the total population. if there are 30.2 million Americans in this ag
tensa zangetsu [6.8K]

Divide the population of 65 or older by the percentage:

30.2 million / 0.122 = 247.54 million total population. (Round answer as needed)

8 0
3 years ago
Answer this problem<br>-3+(-2)​
Nikolay [14]

Answer:

-5

Explaination:

Because -3-2 is -5.

6 0
3 years ago
Read 2 more answers
Other questions:
  • In a sample of 75 randomly selected students at school, 32 are female. There are 1, 371 students in the school. Using these resu
    8·1 answer
  • Write a fraction less than 1 with a demoninator of 6 that is greater than 3/4?
    14·1 answer
  • P and q are on a number line. If p has a coordinate -5 and pq =7 , what could the coordinate of p be
    10·1 answer
  • What number is equivalent to the expanded form (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000
    11·1 answer
  • I need the answer of these ten years
    14·1 answer
  • I need help, fast! I'll give brainliest whoever answers
    10·1 answer
  • David sold 6 apple trees. He sold 5 of the apple trees to max. What fraction of the apple trees did david sell to max​
    9·1 answer
  • I need help with this you are helping me graduate! I would appreciate help
    14·1 answer
  • David hikes 60 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?
    7·2 answers
  • Solve for x. Round your answer to the nearest tenth (0.1)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!