Each gallon of gasoline costs $2.35. The equation y=2.35x can be used to represent this situation.
What is the constant of proportionality? Express your answer in decimal form.

Answers

Answer 1

Answer:

For every gallon of gas added to the tank, the buyer is charged $2.35

Answer 2

The constant of proportionality of the given equation y = 2.35x will be 2.35.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Let's x ∝ y

Then x = ky where k will be constant of proportional.

k = x/y which means when two variables are divided which were in proportion it will create a constant proportional.

So,

y /x = 2.35 will be constant of propotional.

Hence "The constant of proportionality of the given equation y = 2.35x will be 2.35".

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Related Questions

One end of a spring is attached to a ceiling. When an object of mass m kilogram is attached to the other end of the spring, the spring stretches to a length of / centimeters as shown in the equation l = 24 +3.4m . What is m when l is 73?


please helpppp!​

Answers

m = 14.4

73 = 24 + 3.4m
-24 -24

49 = 3.4m
divide by 3.4 on both sides

14.4 = m

HOPE THIS HELPS!

The value of the mass when I is 73 will be m = 14.4.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that when an object of mass m kilogram is attached to the other end of the spring, the spring stretches to a length of / centimeters as shown in the equation l = 24 +3.4m.

The mass will be calculated as below,

73 = 24 + 3.4m

49 = 3.4m

Divide by 3.4 into both sides

14.4 = m

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What is the end behavior of the graph?

Answers

Negative!!!!!!!!!!!!!!
the answer is negative

13x-12x+45•12=14-12x-10•5

Answers

Answer:

[tex]x=\frac{576}{11}[/tex]

Step-by-step explanation:

13x - 12x + 45 * 12 = 14 - 12x - 10.5

Multiply first

13x - 12x + 540 = 14 - 12x - 50

Combine like terms

x + 540 = 12x - 36

Subtract x from both sides

540 = 11x - 36

Add -36 to both sides

576 = 11x

Divide both sides by 11

[tex]x=\frac{576}{11}[/tex]

Hope this helps as pls do mark me brainliest if you can:)

Jessica wants to order some sunglasses from Amazon. Each pair of sunglasses cost $9.00 and shipping for the entire order is $10. How many pairs of sunglasses can she get if she spend no more than $100

Answers

Answer:

10

Step-by-step explanation:

9x10=90 then add the shipping and get 100

It shall be 10. 9 times ten eqauls 90 plus the ten dollars in shipping would equal to 100 exact

What is...

5(11+6)
and
7(3-19)

Answers

Answer:

#1. 85

#2. -112

Step-by-step explanation:

#1.

multiply 5 by whats inside the parenthesis

55 + 30

85

#2.

multiply 7 by whats inside the parenthesis

21 - 133

-112

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

5(11+6)= 85

7(3-19= -112

Step-by-step explanation:

5(11+6)

55+30=85

7(3-19)

21-133= -112

What is 3 +1 giving BRANIEST

Answers

Answer: 4

Step-by-step explanation:

1. Add 3 and 1

3+1 = 4

Your answer is 4

Answer:

I think it is 5 wait no

Step-by-step explanation:

What would your first step look like if you were solving this system using the substitution method? y=x−10 and y=−6x+18?

Answers

Answer:

Substitution method can be applied in four steps.

Solve one of the equations for either x = or y = .

Substitute the solution from step 1 into the other equation.

Solve this new equation.

Solve for the second variable. ...

Step 1: Solve one of the equations for either x = or y = .

Step-by-step explanation:

Help please I will give BRAINLIEST!!!! Which is the function represented by the table?

Answers

Answer:

i dont even know i couldnt even tell u that

Step-by-step explanation:

df

Oth John's parents and Marco's parents decide to start a college fund for their children. The expressions below represent the value of each college fund after w weeks. John's College Fund: 43 w + 1814 12 Marco's College Fund: 25 w + 1744

Answers

Answer:

Step-by-step explanation:

The question is not clear on what to solve for, but we can solve for the number of weeks in which the two funds will have the same amount.

let the total fund funds be y

and the number of weeks be w

For John's fund the expression is

y=45w+1814------1

Marco's College Fund

y=25 w+1744---------2

equating 1 and 2 we have

45w+1814=25w+1744

45w-25w=1744-1814

20w=-70

divide both sides by 20 we have

w=-70/20

w=-3.5

this means that in 3 and half weeks the two funds will have the same amount in them

please helpppppppppp me please

Answers

Answer:

WITH WHATttttt

Step-by-step explanation:

Yessss what you need help with

Rich earns $25 every weekend babysitting. He wants to buy a new game system that costs $499. He already has $220 saved. What is the minimum number of weekends he will need to babysit in order to have at least the $499 he needs?

ASAP I only have 10 minutes

Answers

Answer:

12 weekends

Step-by-step explanation:

Round up to $500 to make it easier, he needs $500. with $220 Saved he needs $280 more ($500-$220). $280 / $25 per weekend is 11.2 weekends needed. He would need to work 12 weekends to get to his goal

Answer:

i trieddddddddddddd

Am i right? And why?

Answers

Answer:

Yes I think your right but I can't back up my response. I mean it looks right to me.

Step-by-step explanation:

Srry. HOPE THIS HELPS!! :)

Identify the independent and dependent variables. Then write a rule in function notation for the situation, letting x represent the independent variable.
A concert ticket costs $60.

Answers

Answer:

independent: number of tickets purchased;

dependent: total cost;

rule: f(x) = 60x

Step-by-step explanation:

The independent variable is the input of a function (the variable whose value determines the value of the output, or dependent variable). In this case, the independent variable is the number of tickets purchased.

The dependent variable is the output of a function (the variable whose value depends on the value of the input, or independent variable). In this case, the dependent variable is the total cost of all tickets purchased.

The total cost of all tickets purchased is equal to $60 times the number of tickets x. Therefore, a function rule for the total cost of all tickets purchased is f(x) = 60x.

You can get 672 calories from eating 8 apples. How many calories can you get from eating 1 apple?

Answers

Step-by-step explanation:

672 divides by 8

=8.375

Simplify: -8w^8 - 4w^8
Enter the original expression if it cannot be
simplified.

Answers

Answer:

-12w^8

Step-by-step explanation:

Hope it helps!

The two triangles are similar. Find the missing side length.
9.6
60
12
16

Answers

Answer: x = 9.6

Step-by-step explanation: 24/x * 20/8 (cross multiply)

20x = 192 (now divide)

x = 9.6

Suppose y varies directly with x, and y = 6 when x = 18. What is the value of y when x = 9?
A:9
B:27
C:1
D:3

Answers

Answer: D
It seems like y multiplied by 3 equals x.
So 9 divided by three is 3

PLS HELP! I WILL REWARD AND GOVE PUT BRAINLIEST!!


The choices for, “Which operation must be performed to isolate the variable?” Are

A. Add 7.6
B. Add 18.2
C. Subtract 7.6
D. Multiply 7.6


The choices for, “the solution to the equation is” are

A. X=7.6
B. X=10.6
C. X=18.2
D. X=25.8

Answers

Answer:

Add 7.6

D. x=25.8

Step-by-step explanation:

Answer:

Add 7.6

D. x=25.8

Step-by-step explanation:

Use the slope formula to find the slope between the given two points?
(2, 1) and (8,9)

Answers

Answer:

4/3

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

(9-1)/(8-2)

4/3

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

(2,1) (8,9)

The formula that you would use is:

[tex]\frac{y_{2}-{y_1} }{x_2-x_1}[/tex]

So, 2 could be [tex]x_1[/tex] and 1 could be [tex]y_2[/tex]

and 8 could be [tex]x_2[/tex] and 9 could be [tex]y_2[/tex]

When we insert these numbers into the equation, we get:

[tex]\frac{9-1}{8-2}[/tex]

When we solve that we get:

[tex]\frac{8}{6}[/tex]

Now we simplify it by dividing both the numerator and denominator by 2, which would give us:

[tex]\frac{4}{3}[/tex]

Ronald brother told Mj to get the app BRAINLY It helps you with anything But Mj do not have nothing to use Mj ask his mom if she would by him a phone she said yes the phone cost $230 dollars but it didn't come with a charger so they bought a charger it cost $15 dollars how much does the charger cost

Answers

Answer:

If you mean in total if all of it then 245

What is the slope of the line that passes through the points (9,4) and( (9,-5) write your answer in simplest form

Answers

Answer:

undefinded

Step-by-step explanation:

Which interval contains a local minimum for the
graphed function?

Answers

You just have to write x>0 for example, which sets the local minimum to 0

1 + 2u < 7
help me please thxa

Answers

Answer:

u < 3

Step-by-step explanation:

Original Equation:

1 + 2u < 7

Subtract 1 from both sides.

2u < 6

Divide both sides by 2.

u < 3

Hope I helped :)

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NEED HELP!!
Drag the tiles to the boxes to form correct pairs. Multiply the pairs of numbers and match them to their products. (-7)(-1.2) 5 (-2)—2) -5 (2.5)(-2) 8.4 (7)(-1.2) -8.4 ​

Answers

(-7)(-1.2) =8.4
(-2 1/2)(-2)= 5
(2.5)(-2)= -5
(7)(-1.2) =-8.4

The correct matches are;

1) (-7) (-1.2) =  8.4

2) 5 =  (-2 1/2) (-2)

3) -5 = (2.5) (-2)

4) (7) (-1.2) = - 8.4

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expressions are,

a) (-7) (-1.2)

b) 5

c) (-2 1/2) (-2)

d) -5

e) (2.5) (-2)

f) 8.4

g) (7) (-1.2)

h) -8.4

Now, Solve the expressions in simplest form;

a) (-7) (-1.2) = 8.4

b) 5 = 5

c) (-2 1/2) (-2) = -5/2 x - 2 = 5

d) -5 = -5

e) (2.5) (-2) = -5

f) 8.4 = 8.4

g) (7) (-1.2) = - 8.4

h) -8.4 = -8.4

Thus, The correct matches are;

1) (-7) (-1.2) =  8.4

2) 5 =  (-2 1/2) (-2)

3) -5 = (2.5) (-2)

4) (7) (-1.2) = - 8.4

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What is the solution to -4-2x + 6 = -24?
x = 0 or x = -6
O x = 0 or x = 6
O no solution

Answers

Answer:

x=13

Step-by-step explanation:

The right answer could be 13 if ur trying to solve for x in the equation but no ur trying to figure out which of the x answers is equal to -24 so..,(

Wen x is -6 = -4-2(-6) +6 =-24, -4+12+6=14
No cause 14 is not -24


Wen x is 6= -4-2(6) +6=-24, -4-12+6=-10
Nope

Wen x is 0= -4-2(0) +6 =-24, -4+6= 2
Noo

Answer elimination leaves no solution so the answer should be

no solution

PLEASE HELP Marcos needs to save $2,000 for college next year. If he has 12 months before he needs the money, how much will he need to save every month? Round to the nearest dollar.​

Answers

Answer:

167

Step-by-step explanation:

2,000/12=166.66=167

Answer:

2000 divided by 12= 166.67

Step-by-step explanation:

he would need $166.67 every month so they can reach their goal.

What is the value of the expression below when w=2w=2?

8w^2 +2w+8

8w

2

+2w+8

PLS HELP

Answers

Answer: 33

Step-by-step explanation:

Answer:

Step-by-step explanation:

33

Is 0.135 a rational number

Answers

Answer:

0.135 is an irrational number because the decimal is not repeating

Step-by-step explanation:

help me plzzzzzzzzzzzzzzz

Answers

Answer:

7) √2 , π , 4.5. √2 ≈ 1.41 < π ≈ 3.14 < 4.5 = 4.5.

9) √3 , π , 7. √3 ≈ 1.73 < π ≈ 3.14 < 7 = 7.

10) -4 , 1.5, √8. -4 = -4 < 1.5 = 1.5 < √8 ≈ 2.83.

11) -5.5 , 3/2, √6. -5.5 = -5.5 < 3/2 = 1.5 < √6 ≈ 2.45.

12) 5/2 , 2.6 , 1 + √3 , √8. 5/2 = 2.5 < 2.6 = 2.6 < 1 + √3 ≈ 2.73 < √8 ≈ 2.83

12) People in order: Bryon, Justin, Rosa, Allie.

Alice’s dog eats 9/4 pounds of dog food each day. How much dog food will the dog eat in 30 days?
135 pounds
135/2 pounds
135/4 pounds
135/9 pounds

Answers

Answer:

135/2

Step-by-step explanation:

In 1 day the dog eats 9/4 lbs

In 30 days the dog eats (9/4) * 30 lbs

                                     = (9 * 30) / 4

                                     =  135/2

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