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
weqwewe [10]
3 years ago
10

Suppose you drive a car 392 mi on a tank of gas. The tank holds 14 gallons. The number of miles traveled vaties directly with th

e number of gallons of gas you use.
a. Write an equation that relates miles to gallons of gas used. Let x = the number of gallons used and y = the number in miles driven.

b. Last year you drove 11,700 mi. Approximately how many gallons of gas did you use?
Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Preliminary Problem

Givens

Miles = m = 392 miles

Gallons =  G = 14 gallons

Miles per gallon = mpg

Formula

miles = miles per gallon * number of gallons.

Solve

392 = mpg * 14                         Divide by 14

392 / 14 = mpg

28 = mpg  which is really quite good.  Our vehicle gets 44 mpg but it's a 4 cylinder. It's meant to get that kind of milage.

Part A

Let x = the number of gallons used

Let y = the number of miles driven

y = k*x

Part B

y = k* x

k =28 mpg

11700 = 28*x

11700 /28 = x

x = 417.86

If this is incorrect please put some more facts in. The question does not seem complete.


You might be interested in
A borrower had a loan of $ 60 comma 000.00 at 4 % compounded annually comma with 8 annual payments. Suppose the borrower paid of
quester [9]

Answer:

The amount needed to pay off the loan after 4 years is $70,192

Step-by-step explanation:

When interest is compounded annually, total amount A after t years is given by:

A = P(1 + r)^{t}

where P is the initial amount (principal), r is the rate and t is time in years.

From the question:

P = $60,000

r = 4% = 0.04

t = 4

A = 60000(1 + 0.04)^{4} \\A = 60000(1.04)^{4}\\A = 60000 * 1.16985856\\A = 70191.5136\\A = 70192

The amount needed to pay off the loan after 4 years is $70,192

If we divide the amount by four, we will get the amount that is paid yearly (70192/4 = 17548). $17,548 is paid yearly.

7 0
3 years ago
Find the area a and b circumference of the circle with radius 10 m and use 3.14 for pi
zhenek [66]

Answer:

\rule6cm99999cm

6 0
2 years ago
Read 2 more answers
Which of the following is an irrational number?
Ad libitum [116K]

Answer:

sq root of 26

Step-by-step explanation:

One rule of an irrational number is that it cannot be written as an whole fraction, since the other two are fractions, the last must be irrational.

6 0
2 years ago
Read 2 more answers
Please i’m trying to help my gf work i’m in 8th i’ll give you brainliest
lorasvet [3.4K]

Take a better pic and i will explain in comment

8 0
2 years ago
Read 2 more answers
One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square u
Gelneren [198K]

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

4 0
2 years ago
Other questions:
  • Determine whether more or less than the percent budgeted was actually spent.
    9·1 answer
  • Put this into Y=Mx+B form please​
    5·1 answer
  • Identify an equation in point-slope for the parallel to y=3/4x-4 that passes through (-1,7)
    8·1 answer
  • Find w(4) for the function w( x ) = 3x + 7<br> A. 41<br> B. 33 <br> C. 14 <br> D. 19
    7·1 answer
  • If DE=1.5m-9 and EF=4.5m-42 what is the value of DF (equilateral triangle)
    13·1 answer
  • A recipe calls for 3/4 cup of sugar for every 3 cups of flour. How much flour should be used for every 1 cup of sugar?
    6·2 answers
  • Can someone help me Please!
    9·1 answer
  • David drives 40 miles in one hour. How many miles does he drive 1.5 hours?
    9·1 answer
  • Glenn the owner of a hardware store originally paid $54.60 for 15 tool sets. at his year-end clearance sale he sold the last too
    14·1 answer
  • Question 3. Y=(1/5)^xSketch the graph of each of the exponential functions and label three points on each graph.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!