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
galina1969 [7]
3 years ago
13

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

s in gallons of gasoline you can buy within your budget. how much does a gallon of gasoline cost? how much does a car wash cost? y=40 and y=3.55x+8

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

Answer:

Part a) The budget is $40

Part b) The cost of one gallon of gasoline is $3.55 and the cost of the car wash is $8

Part c) x \leq 9.01\ gal

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure

Part a) What is your budget?  

The budget is given by the equation

y=40

therefore

The budget is $40

Part b)  How much does a gallon of gasoline cost? how much does a car wash cost?

Let

y ------> the cost of a gallon of gasoline plus the cost of a car wash

x -----> the amount of gasoline in gallons

we have

y=3.55x+8

In this problem

For x=0

y=3.55(0)+8=8

The y-intercept is the cost of the car wash

so

The cost of the car wash is $8

Find the cost of one gallon of gasoline

we know that

The slope of the linear equation is

m=$3.55 per gallon

therefore

The cost of one gallon of gasoline is $3.55

Part c) Write an inequality that represent the possible amounts of gasoline you can buy

we have

3.55x+8 \leq 40

Solve for x

3.55x \leq 40-8

3.55x \leq 32

x \leq 9.01\ gal

Part d) Use the graph to estimate the solution of the inequality in part c)

we have the system

y=40

y=3.55x+8

The solution of the system is the intersection point both graphs

Looking at the graph the intersection point is about (9,40)

That means ----> The maximum amount of gasoline you can buy with the budget is about 9 gallons

You might be interested in
Help please due now
umka21 [38]

Answer:

hii here is your answer

6 0
3 years ago
The diameter of the base of the cone measures 8 units.
kati45 [8]

Answer:   32\pi cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

V_{cone}=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

r=\frac{8units}{2}\\\\r=4units

Since you already know that height and  the radius, you can substitute them into the formula. Then, the volume of this cone is:

V_{cone}=\frac{1}{3}\pi (4units)^2(6units)

V_{cone}=32\pi \ units^3

8 0
3 years ago
How does the solution to an inequality differ from the solution to an equation?
vampirchik [111]
An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.

6 0
3 years ago
If 10% is deducted from a bill, $58.50 remains to be paid. How much is the bill?
patriot [66]

Answer:

got u

Step-by-step explanation:

$64.35

58.50 plus 10% equals 64.3t

7 0
3 years ago
How to find the slope and y intercept when y = x or when x = 6?? someone help me please​
Step2247 [10]
I’m not sure for y=x but for when x=6 he slope is undefined and there is no y-intercept
5 0
3 years ago
Other questions:
  • How do i do this problem?
    10·2 answers
  • Helpppppppp meeeeeee
    12·1 answer
  • When purchasing a house you need to pay the real estate company 4.5 of the total price if the house sells for 130,000 how much m
    5·1 answer
  • A set of cards has 20 cards with stars, 10 cards with squares, and 15 cards with circles. Find the probability of each event whe
    5·1 answer
  • Ms. Abrams receives a 4% commission plus a salary of $275.00 per week. If her total sales for one week are $2,880.00, how much d
    11·1 answer
  • Brianna has a sheet of paper that is 6 feet long.she cuts the length of paper into sixth and then cuts the length of each of the
    12·1 answer
  • PLEASE HELP ME <br><br> Find the area of the triangle.
    9·1 answer
  • Triangle ABC is shown BCD=30 D is a point on side AC such that BD=DA=AB prove that AD =DC
    13·2 answers
  • The art club had an election to select a president. 56 members voted in the election and 24 did not vote. What percentage of the
    8·1 answer
  • Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal dista
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!