At a gas station, a gallon of gasoline costs $3.50. The relationship between the dollar cost of gasoline and the gallons
purchased can be described with a function.
a Identify the input variable and the output variable in this function.
b. Describe the function with a sentence of the form is a function of_."
c Identify an input-output pair of the function and explain its meaning in this situation.

Answers

Answer 1

Answer:

A. $3.50 is input, Gallon of Gasoline is output B. The form is a function of y=3.50x C. $7.00-2 Gallons. This shows that for 7 dollars you can get 2 gallons of gasoline.

Step-by-step explanation:

Answer 2

The linear equation will be y = 3.50 x. Then the total cost 'y' of the 'x' gallons of gasoline.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

At a gas station, a gallon of gasoline costs $3.50. The relationship between the dollar cost of gasoline and the gallons purchased can be described with a function.

Let 'x' be the number of gallons of gasoline and 'y' be the total cost. Then the equation is given as,

y = 3.50 x

The linear equation will be y = 3.50 x. Then the total cost 'y' of the 'x' gallons of gasoline.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2


Related Questions

Please help! I will give brainliest :)
Solve:
5xb+x-23+5.6

Answers

Answer:

Add  

− 23  and   5.6

5x b  +  x −  17.4

Step-by-step explanation: plz brainliest

Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he
babysits for 7 hours. You may solve with any method but you must show your work.

Answers

First you do $33.00/4 to get $8.25. Take the 8.25 and multiply it by 7 to get $57.75

Step-by-step explanation:

First, you want to find the unit rate, or how much Han earns per hour

You can do this by setting up an equation

x= amount earned per hour

4x= 33          Initial equation

4x/4 = 33/4   Isolating the variable

x = 33/4 = 8 1/4 = 8.25    The unit rate

Now you want to set up a new equation to find out how much he makes for 7 hours

x= amount earned per hour

y = total amount earned

y = 7x    Initial equation

y = 7 ( 8.25)   Substitution

y = 57.75  The answer

Han earns $57.75 for every 7 hours

Checking the answer....

y = 7x

57.75 = 7x    Substitute y instead

57.75/7 = 7x/7

8.25 = x

Your answer should be correct

Hope this helps!!!

A committee must be formed with 4 teachers and 5 students. If there are 7 teachers to choose from, and 15 students, how many different ways could the committee be made?

Answers

Answer:

Step-by-step explanation:

There are a total of 10 persons (6 teachers + 4 students) from which a committee of 5 is to be formed. This can be done in 10C5 ways.

The number of ways that a committee can be formed with no students in it is to select 5 teachers out of the pool of 6 teachers available. This can be done in 6C5 ways.

Therefore the total number of ways that the committee can be formed with at least one student in it is 10C5 - 6C5.

10C5 = 252

6C5 = 6

Therefore the required number of ways = 246

Mulitply

C(6,4)*C(12,4)

Pls help me its due by 11:59

Answers

P,G,E,B are all 90 degrees.
N is 47.7
M is 107.3
L is 72
H is 59.6
J is 30.4
O is 36
K is 90
I is 119.1
F is 52.9
C is 53.5
A is 40
D is 34

BRANLIEST? Thanks! This took me 20 minutes to do :)

A group of 16 adults and 25 children go to a show.
The total cost of tickets was £315.40.
A child's ticket cost £6.60.
Find the cost of a ticket for an adult.

Answers

The cost of a ticket for an adult is 9.4£
Hope this helps!!

can u answer these questions plz​

Answers

imma be 100% honest i suck at math but it might be proportional idrk tbh
The answer is True, the table does represent a proportional relationship.

A proportional relationship is when two variables are increasing together at the same rate. In this table as the x is increasing by one, the y is increasing by 0.125.

Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words long, and so far he has written 828 words. If he only has 6 more days to write his paper and wants to write the same number of words each day, then how many words must he write per day to finish the paper? A. 398 B. 362 C. 862 D. 2,172

Answers

Answer:

it's hard man sorry !

Step-by-step explanation:

Look at the diagram.
Which of the following is NOT true?

The answer choices are in the picture below.

Also, it would really help me if you would give a brief explanation to why the answer you chose is correct.

Answers

Answer:

Option G

Step-by-step explanation:

Option F

m∠1 + 121 = 180 [Sum of linear angles = 180°]

True.

Option G

121 + m∠2 + 33 = 180

False. Because 121° is not an interior angle of the given triangle.

Option H

33 + m∠1 = 92

True.

Measure of exterior angle of a triangle is equal to the sum of he measure of the non adjacent interior angles.

Option J

121 + 92 + m∠3 = 360°

True.

Sum of the exterior angles of triangle is 180°.

Find the value of x.

x=
(no need to do the classifying.)

Answers

Answer:

35° (Verified Answer) ✅

Step-by-step explanation:

Well, we know that all three angles of a triangle add up to 180°, we set the three equations added together equal to 180°.

180 = x + 10 + 3x - 5 + x

We can simplify this to:

180 = 5x + 5

Now, all we need to do is solve.

Subtract 5.

175 = 5x

Divide by 5

x = 35°

Now, we must check this solution by substituting our solution for x in for x, to see if the values equal.

180 = 35 + 10 + 3 (35)  - 5 + 35

180 = 45 + 3 (35) - 5 + 35

180 = 105 + 45 - 5 + 35

180 = 150 - 5 + 35

180 = 150 + 30

180 = 180 ✅

Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink

Answers

Answer:

[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.

Step-by-step explanation:

Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]

Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]

                                  = [tex]\frac{5-1}{5}[/tex]

                                  = [tex]\frac{4}{5}[/tex]

Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part

                                     = [tex]\frac{3}{4}\times \frac{4}{5}[/tex]

                                     = [tex]\frac{3}{5}[/tex]th part of the bottle

Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.

Please help me again lol

Answers

Answer:

114 degrees

Step-by-step explanation:

a line equals 180 degrees, so you subtract 66 from 180

Answer:

∠TYK=114°

Step-by-step explanation:

Angles TYK and KYB are supplementary, meaning they add up to a total of 180°:

[tex]66+x=180\\\\66-66+x=180-66\\\\x=114[/tex]

∠TYK=114°

:Done

what is the ratio of girl to boys if boys is 15 and girls is 45

Answers

Answer:

3:1

Step-by-step explanation:

boys: girls

15         45

We want girls to boys

girls: boys

45   :  15

Divide each side by 15

45/15   : 15/15

3       :1

what is the slop of the graph?

Answers

the slope of the graph is y=250x+1200

An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d, is related to the time in seconds, t, by the equation d=0.15. How fast is it flying? Do not include units

Answers

Answer:

0.15

Step-by-step explanation:

Given the expression that relates the distance and the time with the expression:

d = 0.15t

d is the distance

t is the time

To determine how fast it is flying (Speed), we will need to use the formula

Speed = distance/time

s = d/t

From the given equation we can se that 0.15 = d/t

Comparing this to the general equation, we will see that s = 0.15

Hence the airplane is flying at 0.15

Mr. Harris has batteries for his calculators. If b represents the number of batteries and c represents his calculators, how many
batteries does Mr. Harris have?
b= 4c
3c = -2b + 44
A 4 batteries
B 7 batteries
13 batteries
16 batteries

Answers

These are simultaneous equations, and you can solve this by using the substitution method:

b = 4c
3c = -2b + 44

3c = -2(4c) + 44
3c = (-2 x 4c) + 44
3c = -8c + 44

11c = 44
c = 44/11
c = 4

b = 4c
b = 4(4)
b = 4 x 4
b = 16

Therefore, Mr. Harris has 16 batteries.

Simplify fully
12(x-2)^2/6(x-2)(x+5)

Answers

Answer

Did I get it right?

Step-by-step explanation:

Please help!!:
What is the length of DE in the image provided? (Please explain so I can understand in the future)

A. DE=4
B. DE=5
C. DE=6
D. DE=7

Answers

Answer:  D.  DE = 7

==========================================================

Explanation:

We have these three facts:

The arc markings on angles C and D indicate those angles are congruent. We can say that angle ACB = angle EDB.Another pair of congruent angles are angle ABC and angle EBD. These are vertical angles. Lastly, we have a pair of congruent sides AB and BE because of the tickmarks.

Those three facts allow us to use the AAS (angle angle side) congruence theorem to prove that triangle ABC is congruent to triangle EBD.

Then by CPCTC (corresponding parts of congruent triangles are congruent), we know that AC = DE. Note how 'A' and 'C' are the first and last letters of ABC; similarly, 'E' and 'D' are the first and last letters of EBD. Segment ED is the same as segment DE.

So to find the length of DE, we need to find the length of AC. To do that, we need the value of x.

----------------

Recall earlier that AB = BE. Use this to find x

AB = BE

1.5x = 3x-6

1.5x-3x = -6

-1.5x = -6

x = -6/(-1.5)

x = 4

Now we can find the length of AC

AC = x+3

AC = 4+3

AC = 7

This must mean DE = 7 as well.

Answer:

DE=7

Step-by-step explanation:

I just took test

Also please make me Brainliest

The vertices of JKL are J(–2, 3), K(1, 6), and L(5, –1). Which type of triangle best describes JKL

Answers

Answer:

Acute triangle

Step-by-step explanation:

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend. Ashley watched 6 times as many hours as Gabby. How many hours of television did they each watch over the weekend? Write and solve a system of equations by using the substitution method. Be sure to define your variables.

Answers

Answer:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Step-by-step explanation:

Let us represent:

The number of times

Ashley watched TV = x

Gabby watched TV = y

Together, Ashley and Gabby watched a total of 14 hours of television over the weekend.

= x + y = 14..... Equation 1

x = 14 - y

Ashley watched 6 times as many hours as Gabby.

x = 6y

Using substitution method

We substitute 14 - y for x

14 - y = 6y

14 = 6y + y

14 = 7y

y = 14/7

y = 2 hours

Solving for x

x = 14 - y

x = 14 - 2

x = 12 hours

Therefore:

The number of times over the Weekend that:

Ashley watched TV = x = 12 hours

Gabby watched TV = y = 6 hours

Select the correct description of the graph of the inequality: I > 3.5

Answers

Answer:

gfygou

Step-by-step explanation:

i need someone to solve for x and show how plzz

Answers

Answer:

Step-by-step explanation:

The two angles would equal 180°.

(7x - 5) + (5x + 19) = 180

Combine like terms.

12x + 14 = 180

Simplify by isolating the variable

12x + 14 = 180

------ -14 ----------

12x = 166

Divide both sides by 12

x = 13.833

To nearest tenth, 13.8

Use the Zero Product Property to find the x-intercepts for y=3x2−7x+4

Answers

Answer:

x = [tex]\frac{4}{3}[/tex], x = 1

Step-by-step explanation:

To find the x- intercepts, let y = 0 , that is

3x² - 7x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 4 = 12 and sum = - 7

The factors are - 3 and - 4

Use these factors to split the x- term

3x² - 3x - 4x + 4 = 0 ( factor the first/second and third/fourth terms )

3x(x - 1) - 4(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(3x - 4) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

3x - 4 = 0 ⇒ 3x = 4 ⇒ x = [tex]\frac{4}{3}[/tex]

x- intercepts are x = [tex]\frac{4}{3}[/tex] , x = 1

([tex]\frac{4}{3}[/tex], 0 ), (1, 0 ) ← in coordinate form

Please help with this math!

Answers

Answer: D and B

Step-by-step explanation:

We will begin with a golf ball with a diameter of 5 cm and a piece of paper that is 15 x 25 cm. Here is a
diagram showing the dimensions of each part of the box,
5 cm
5 cm!
15 cm
15 cm
25 cm
Based on the following labelled net diagram, answer the following questions:
1. What is the maximum number of balls that will fit in the box? Explain how you know.

Answers

Answer:

Each ball has a diameter of 5 cm, The box is 15 cm by 25 cm, therefore, there will be three columns and five rows of balls. 3 multiplied by 5 is 15, so the maximum number of balls that will fit in the box is 15 balls

2. A square tent has a side with a length of
4x2yzd feet. What is its area?

Answers

Answer:

6

Step-by-step explanation:

A sporting goods store brought in some new mountain bikes that cost $1,200 each and kayaks that cost $800 each. A total of 32 of these items were acquired , for $30,400 . How many new mountain bikes did the store bring in ? ASAP HELP!

Answers

Answer:

12 mountain bikes

Step-by-step explanation:

1200m+800k=30400

m+k=32

k=32-m

Now solving with substitution we get:

1200m+800(32-m)=30400

1200m+25600-800m=30400

400m=4800

m=12

Factor the GCF: 9x^4 - 6x^3y^2 + 3x^2y^3.
A. 3x^2y(3x^2 - 2xy + y^2)
B. 3xy(3x^2 - 2xy + y^2)
C. 3xy^2(3x^2 - 2xy + y^2)
D. 3x^2y(3x^2 + 2xy + y^2
PLEASE HELP ME

Answers

Answer:

3x2y(3x2−2xy+y2) So C

Step-by-step explanation:

kara opened a savings account with $8,000. she makes no changes to this account after 2 years. her account has a compound interest rate of 6% per year, compound annually. what will be the total amount in the account at the end of two years?

Answers

Answer:628384729

Step-by-step explanation:

One two three

Generate an equivalent expression using prime factorization for each number.
24
a)2x2x6
b)2x4x3
c)2x2x2x3

Answers

Answer:

c

Step-by-step explanation:

'c' is the only answer where all numbers are prime -- in 'a', 6 is not prime

and in 'b', 4 is not prime

find the slope of the lines ​

Answers

Answer:

m=3/2

Step-by-step explanation:

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