2) The cost of gasoline is directly proportional to the number of gallons of gasoline purchased. Ms. Butcher paid $25.20 for 12 gallons of gas. If c represents the cost in dollars and grepresents the gallons of gas purchased, which equation best represents this relationship?
(a) c = 0.489
(b) c = 2.1g
(c) c = 25.20g
(d) c = 302.4g​

Answers

Answer 1

Answer:

62/87,21

Write the rate of blue paint to yellow paint for each quart in simplest form.

The rates are not equal. So, the amount of yellow paint is not proportional to the amount of blue paint.

$16:(5

No; the rates are not equal.

62/87,21

Write the rate of ice tea mix to sugar for each quart in simplest form.

Each rate is equal to . So, the amount of sugar is proportional to the amount of ice tea mix.

$16:(5

Yes; each rate is equal to .

GASOLINE The cost of 13 gallons of gasoline is $41.47. Write an equation relating cost to the number of gallons of

gasoline. How much does 18.5 gallons of gasoline cost?

62/87,21

Find the constant of proportionality.

or 3.19

The cost is $3.19 times the number of gallons of gas, g. The equation is c = 3.19g.

To find the cost of 18.5 gallons of gas, substitute 18.5 for g.

18.5 gallons of gas cost $59.02.

$16:(5

c = 3.19g; $59.02

Determine whether the set of numbers in each table is proportional. Explain.

62/87,21

Write the rates of cans of concentrate to cans of water in simplest form

Each rate is equal to . So, the amount of cans of water is proportional to the amount of cans of concentrate.

$16:(5

Yes; each rate is equal to .

62/87,21

Write the rates of shaded squares to total squares in simplest form.

The rates are not equal. So, the number of total squares is not proportional to the number of shaded squares.

$16:(5

No; the rates are not equal.

62/87,21

Write the rates of junk e-mails to total e-mails in simplest form.

Each rate is equal to . So, the number of total e-mails is proportional to the number of junk e-mails.

$16:(5

Yes; each rate is equal to

62/87,21

Write the rates of weeks to days in simplest form.

Each rate is equal to . So, the number of days is proportional to the number of weeks.

$16:(5

Yes; each rate is equal to .

62/87,21

Write the rates of the heat index to air temperature.

The rates are not equal. So, the air temperature is not proportional to the heat index.

$16:(5

No; the rates are not equal.

62/87,21

Write the rates of jars to jelly beans in simplest form.

The rates are not equal. So, the number of jelly beans is not proportional to the number of jars.

$16:(5

No; the rates are not equal.

For Exercises 10 and 11, write and solve an equation.

FINANCIAL LITERACY A store is having a sale where all jeans are off the regular price. Write an equation

relating the sale price to the regular price. How much would a pair of $29 jeans cost on sale?

g

Cost

7g

6 7(6) = $42

7 7(7) = $49

8 7(8) = $56

9 7(9) = $63

10 7(10) = $70

$16:(5

yes

Complete each conversion. Round to the nearest hundredth, if necessary.

LQ§B cm

62/87,21

8VHLQ§FHQWLPHWHUV

$16:(5

10.16

/§ B gal

62/87,21

8VH/§JDO

$16:(5

1.32

OE§B kg

62/87,21

8VHOE§NJ

$16:(5

681

\G§ _ m

62/87,21

8VH\G§P

$16:(5

12.8

Express each rate as a unit rate. Round to the nearest tenth, if necessary.

140 miles on 6 gallons

62/87,21

The unit rate is 23.3 miles per gallon.

$16:(5

23.3 miles per gallon

19 yards in 2.5 minutes

62/87,21

The unit rate is 7.6 yards in 1 minute.

$16:(5

7.6 yards per minute

236.7 miles in 4.5 days

62/87,21

The unit rate is 52.6 miles per day.

$16:(5

52.6 miles per day

331.5 pages in 8.5 weeks

62/87,21

The unit rate is 39 pages per week.

$16:(5

39 pages per week

eSolutions Manual - Powered by Cognero Page 1

6-4 Proportional and Nonproportional Relationships

Determine whether the set of numbers in each table is proportional. Explain.

62/87,21

Write the rate of blue paint to yellow paint for each quart in simplest form.

The rates are not equal. So, the amount of yellow paint is not proportional to the amount of blue paint.

$16:(5

No; the rates are not equal.

62/87,21

Write the rate of ice tea mix to sugar for each quart in simplest form.

Each rate is equal to . So, the amount of sugar is proportional to the amount of ice tea mix.

$16:(5

Yes; each rate is equal to .

GASOLINE The cost of 13 gallons of gasoline is $41.47. Write an equation relating cost to the number of gallons of

gasoline. How much does 18.5 gallons of gasoline cost?

62/87,21

Find the constant of proportionality.

or 3.19

The cost is $3.19 times the number of gallons of gas, g. The equation is c = 3.19g.

To find the cost of 18.5 gallons of gas, substitute 18.5 for g.

18.5 gallons of gas cost $59.02.

Step-by-step explanation: sorry the answer is C


Related Questions

Help please I’ll give a Brainly thing

Answers

Answer:

C

Step-by-step explanation:

a quadratic is an equation in the form f(x) = ax2 + bx + c. C is in this form. A quadratic cannot have a variable as the exponent, like A, but must have an exponent, among other things. C is the only answer that meets these criteria.

Write 2 and 19/25 as a percent.

Answers

Answer:

276 percent lol

Step-by-step explanation:

PLZ HELP ME I DON'T KNOW

Answers

Answer:

44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

plug it in: 8(2)^2 +2(2) +8

do the math: 32 + 4 + 8

44

The domain of y = cot x is all real numbers such that _______.

Answers

Answer:

Step-by-step explanation:

x≠ n*π, where n is an integer

because x/π can not be an integer

**********URGENT***********
The time required to complete a job varies inversely as the number of people working. It took 4 hours for 7 electricians to wire a building. How long would it have taken 3 electricians?

A. 1 hour 43 minutes
B. 5 hours 15 minutes
C. 7 hours 30 minutes
D. 9 hours and 20 minutes

Answers

Answer:

9 hours and 20 minutes: b

Step-by-step explanation:

4*60=240

7x240=1680

1680/3=560

560= 9 h 20 m

The time required when 3 electricians are working is 9 hours and 20 minutes.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The time required to complete the job varies inversely with the number of people working.

This means that if the number of people working decreases, the time required to complete the job will increase.

We can use the formula for inverse variation to solve the problem:

t = k/n

where t is the time required to complete the job, n is the number of people working, and k is a constant of proportionality.

We can find k by plugging in the given values:

4 = k/7

k = 28

Now we can use the formula to find the time required when 3 electricians are working:

t = 28/3

t ≈ 9.33 hours

Converting this to hours and minutes, we get:

t ≈ 9 hours and 20 minutes

Thus,

The time required when 3 electricians are working is 9 hours and 20 minutes.

Learn more about expressions here:

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Kelly met Jesse and Liza at the max for breakfast. The graph shows Kelly’s speed during her 12 minute drive

Answers

Answer:

D. [tex]-360\,\frac{km}{h}[/tex]

Step-by-step explanation:

Physically speaking, average acceleration ([tex]\bar a[/tex]), measured in kilometers per square hour, is defined by following formula:

[tex]\bar a = \frac{v_{f}-v_{o}}{t_{f}-t_{o}}[/tex] (1)

Where:

[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final speed, measured in kilometers per hour.

[tex]t_{o}[/tex], [tex]t_{f}[/tex] - Initial and final instant, measured in hours.

The initial and final instants are, respectively:

[tex]t_{o} = 5\,min\times \frac{1\,h}{60\,min}[/tex]

[tex]t_{o} = 0.083\,h[/tex]

[tex]t_{f} = 9\,min \times \frac{1\,h}{60\,min}[/tex]

[tex]t_{f} = 0.15\,h[/tex]

If we know that [tex]t_{o} = 0.083\,h[/tex], [tex]v_{o} = 60\,\frac{km}{h}[/tex], [tex]t_{f} = 0.15\,h[/tex] and [tex]v_{f} = 36\,\frac{km}{h}[/tex], then the average acceleration of Kelly is:

[tex]\bar a = \frac{36\,\frac{km}{h}-60\,\frac{km}{h}}{0.15\,h-0.083\,h}[/tex]

[tex]\bar a = -358.209\,\frac{km}{h^{2}}[/tex]

The correct answer is D.

Answer:

Step-by-step explanation:

1.2. Tim bought 128 sandbags to completely fill a cube-shaped sandbox. Each bag fills a cubic foot in the sandbox. What is the length, in feet, of one of the sides of the sandbox?
A. √128
B. 3√128
c. 128^2
D. 128^3​

Answers

Answer:

b

Step-by-step explanation:

Answer:

I think the answer is c.

Step-by-step explanation:

hope this helps

What is the total number of common tangents that can be drawn to the circles?
A. 3
B. 2
C. 1
D. 0

Answers

A) 3. In this case, you can draw one down the middle, one on top, and one on the bottom.

The total number of common tangents that can be drawn to the circles is 3 Hence, the correct option is (A).

What is tangent?

The tangent is a line that goes by touching the circle.

If we meet that point to the circle then it gives us 90 degrees.

Given that the circle are intersecting so a common tangent will be

The First will be at the intersection point of that circle.

The second will be the upper portion of the circle.

The third will be the lower portion of the circle.

For more information about the common tangents.

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Can someone plz help me pretty plz

Answers

Step-by-step explanation:

[tex] \sqrt{9} + \sqrt{25} - 8 \div 2 + {3}^{2} \\ = 3 + 5 - 4 + 9 = 13[/tex]

5 m
m
7 깄
0
M
K
5
Solve for the perimeter.
3 m
P=

Answers

Answer:

P = 5 s m + 5 s m + 7 s m + 7 s m

P = 2 4 s m

9 divided by four as a mixed number

Answers

Answer:

2 and 1/4

Step-by-step explanation:

× + 2 + 2x + 3 = 4x PLS HELP ME ​

Answers

Answer: 8

Step-by-step explanation:

Answer:

I dont know what your supposed to do but i can tell you that x = 5 because if you simplify the equation you get 3x + 5 = 4x. Using this you can infer that a single x is equivalent to 5 since you need 5 to get from 3x to 4x.

Can somebody help please?

Answers

Answer:

-3

Step-by-step explanation:

1 × -3 = -3

-3 × -3 = 9

9 × -3 = -27

-27 × -3 = 81

81 × -3 = -243

The pattern is that each number is multiplied by -3, and 1 × -3 = -3.

Jackson’s car was making a rumbling noise for two weeks. He decided to take it to the mechanic to get it checked out. To diagnose the problem, the mechanic tells Jackson that he charges a flat fee of $60 and $35 for each hour he spends trying to identify the problem.



A. Write a linear equation in ​y = mx+b​ form to represent the cost of getting Jackson’s car diagnosed.

B. Identify the slope and y-intercept, and what they mean in the context of the story.

C. Does this situation represent a proportional relationship? Why or why not?

Answers

Answer:

y=35x+60

slope-35 y intercept-60

proportional relationship

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 35x + 60

Slobe 35

y-intercept 60

The y-intercept is the start cost and the slope is how much it will go up per hour.

It is proportional because it is going up by 35 every hour

Which table represents a linear function?

Answers

I believe it would be the 4th one! :)

Which set of values makes the inequality 1/4x + 2≥0
A. {-8,-4, 0, 4, 8}
O
B. {-12, -8, 0, 4, 8}
o
C. {-20, -16, -12, 0,4}
D. {-20, -16, 0, 16, 20}

Answers

Answer:

the answe is A.{-8,-4,0,4,8}

Lunch for 4 people only $39.50

if the sales tax is 5% how much tax do they owe

Answers

Answer:

$41.48

Step-by-step explanation:

5/100 = .05

39.50 x .05 = $1.98 is the tax

39.50 + 1.98= 41.48

PLEASE HELP!! I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS THESE TWO!

Answers

Answer:

Page 1 = D

Page 2 = D

Step-by-step explanation:

Hope that helps!

What is the slope of the line that passes through the points (-5,-6 ) and (5,1)?

Answers

Answer: Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

m(slope)=7/10 or (7,10)

Find the value of x and the measure of the angle labeled 3x°.
A. X= 14; angle measure is 30°.
B. X = 10; angle measure is 42°.
C. X= 14; angle measure is 42°.
D. x = 10; angle measure is 30°.​

Answers

Answer:

answer is B............

Step-by-step explanation:

72-42...30

angle is 3x so divide it by 3

30 divided by 3 gives you 10

Answer:

D. x = 10; angle measure is 30°.​

Step-by-step explanation:

I did this exact question on A P E X and it correct. I hope this helped. Have a good day!

Proof:

b) Find the standard deviation of the number of nights potential customers will need.

Answers

Answer:

ok

Step-by-step explanation:

i don’t understand.
online school is hard

Answers

Answer:

online is harder than

Step-by-step explanation:

school is nice place

online school is retarted

I need some help with two problems

Answers

Answer:

24) x = 16

I am not sure about #25

-) Colin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win
more than 200 points. He wants to know how many gold coins he needs to find.
) Let g be the number of gold coins Colin finds. Which inequality represents the situation?
259 > 200
259 > 200
25 +9 > 200
25+ 9 > 200

Answers

Answer:

A

Step-by-step explanation:

25g>200

so A

if my answer helps please mark as brainliest.

Express $0.\overline{5}$ as a common fraction in lowest terms.

Answers

Answer:  5/9

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

Explanation:

[tex]0.\overline{5}[/tex] means that the 5's go on forever because of that horizontal bar over top. So we can write it as [tex]0.\overline{5} = 0.55555\ldots[/tex]

The three dots indicate it goes on forever following that pattern.

Let

x = 0.55555....

Multiply both sides by 10 to move the decimal point 1 spot to the right

10x = 5.55555....

Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.

After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.

Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.

-2(7 – n) + 4
What is the answer to this any body know it??????????

Answers

2x-10 is the answerr

Answer:

2n+10

Step-by-step explanation:

you just distribute the -2 and you get -14+2n+4 and then add and you'll get 2n+10

if you are solving for the variable n then you would want your equation like this 2n+10=0

next you would put the 10 on the other side of the equation and have 2n=-10

finally you would divide by 2 and get n=-5

Find the dimension of a rectangle whose with is 6 miles less than its length and whose area is 72 square tiles

Answers

Answer:

Length = 12

Width = 6

Step-by-step explanation:

Width = 6 miles less than length;

L = L

W = L - 6

Area = 72 ft²

Area = Length * width

Area = (L * L-6)

Area = L² - 6L

-

L² - 6L = 72

L² - 6L - 72 = 0

L² - 12L + 6L - 72 = 0

L(L - 12) +6(L - 12) = 0

L = 12 or L = - 6

L cannot be negative

Width = L - 6

Width = 12 - 6 = 6

Hence,

Dimension of rectangle :

Length = 12

Width = 6

a) ¿Cómo varia el volumen de una piramide en relación a su altura si el área de la base no cambia?​

Answers

Answer:Step-by-step explanation:

Answer:

si cambia su volumen cada vez se pone mas fina la piramide

A store bought 250 toys at a cost of ​$24 each. The store sold all the toys at a percent markup of 60 percent. Find the total selling price​

Answers

Hellooo my friend your I need I need point sorry point sorry I need point sorry

help help help please im begging!! its trigonometry and its due tonight I'm so confused please help me out

Answers

Step-by-step explanation:

Its the bottom question sir

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