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
The domain for f(x) and g(x) is the set of all real numbers.
Rufina [12.5K]

If you want to multiply the two functions, the answer is a.


In fact, you have


(3x + 5)x^2 = 3x \cdot x^2 + 5\cdot x^2 = 3x^3 +5x^2

4 0
3 years ago
Which equation is best represented by the graph above (x+1)(x-3)(x+2). please explain why
Nat2105 [25]
<h3>Answer:</h3>

y = (x +2)(x -1)(x -3) . . . . or . . . . y = x³ -2x² -5x +6

<h3>Step-by-step explanation:</h3>

The graph shows y=0 at x=-2, x=1, and x=3. These are called the "zeros" or "roots" of the function, because the value of the function is zero there.

When "a" is a zero of a polynomial function, (x -a) is a factor. This means the factors of the graphed function are (x -(-2)), (x -1) and (x -3). The function can be written as the product of these factors:

... y = (x +2)(x -1)(x -3) . . . . . the equation represented by the graph

Or, the product can be multiplied out

... y = (x +2)(x² -4x +3)

... y = x³ -2x² -5x +6 . . . . . the equation represented by the graph

7 0
3 years ago
Help plz quick!!!!!!!
Vanyuwa [196]

Answer:

Why U tELLING us TO ANSWER UR WORKKKKK AHHHHH

Step-by-step explanation:

6 0
2 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
erastova [34]

Answer:

1st ∡ = 15.5°

2nd ∡ = 77.25°

3rd ∡ = 87.25°

Step-by-step explanation:

1st ∡:  x

2nd ∡:  y

3rd ∡:  z

Equations we can create from data given in problem:

y + z = 5x

z = 5x + 10

We have enough expressions to create an equation:

x + 5x + 5x + 10 = 180

11x = 170

x = 15.5

y = 5(15.5) = 77.25

z = y + 10 = 87.25

8 0
3 years ago
Give one example of the following properties for whole number under addition​
Marina CMI [18]

Step-by-step explanation:

Objective: Recall the properties.

a) 3+1=4

b) 3+7=7+3

c) 3+(7+4)=7+(3+4)

d). 3(7+4)=(3×7)+(3×4)

5 0
3 years ago
Other questions:
  • 24 + 6 = 6(4 + 2)
    7·1 answer
  • What do they say again oh yeah life is hard don't you think so too ?
    13·2 answers
  • 1.
    8·1 answer
  • Mrs. Aries hired Jack a math tutor to help her son. Because of budget she can pay him no more than $420 a month. If Jack charges
    12·1 answer
  • Given: ΔXYZ
    11·1 answer
  • So could someone help me on this
    5·2 answers
  • Quinn earned $102.00 working 8 hours at her job as an Interior Designer. At her second job as a Vet Tech, she earned $40.50 work
    7·1 answer
  • Find an equation of the line having the given slope and containing the given point.
    8·1 answer
  • Please help me solve this problem please?!
    8·1 answer
  • How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!