Sean is filling his truck with gasoline. He knows the total cost, C, will be proportional to the
number of gallons of gasoline, g, that he puts into the gas tank. After putting 8.5 gallons in
.
the tank, the cost is $23.63.
(a) Find the ratio of the cost to the gallons as
(b) What is the real world meaning of your
a unit rate. Show the division as a fraction answer in (a)?
and then state the answer with appropriate
units.
(c) If c is the cost and g is the number of
gallons bought, write a proportion
involving c and g and then solve it for c.
(d) If Sean puts 17 gallons of gasoline into
his truck, what is his cost? Justify.

Answers

Answer 1

Part (a)

Divide the total cost over the number of gallons to get the unit cost

(23.63)/(8.5) = 2.78

Answer:  2.78

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

Part (b)

The result of the previous part indicates the gas costs $2.78 per gallon.

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

Part (c)

c = cost in dollars

g = number of gallons bought

cost/gallons = cost/gallons

c/g = (23.78)/(8.5)

c/g = 2.78

c = 2.78g

This fits with what part (b) mentioned. The 2.78g means "2.78 times g".

Answer:  c = 2.78g

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

Part (d)

Plug g = 17 into the equation found in part (c)

c = 2.78g

c = 2.78*17

c = 47.26

Answer:  $47.26

Related Questions

It will be lovely if anyone would help?

Answers

Answer:

yes

Step-by-step explanation:

I would help. Just give me the question

Mary sold 50 tickets for the school play Student tickets cost $2 and adult tickets cos $ 5. Mary's sales totaled $ 154.00. How many adult tickets and how many student tickets did Mary sell?

Answers

Answer:

the correct answer is that mary sold 18 adult tickets and 32 student tickets

if she sold 18 adult tickets it would be 90 dollars, and if she sold 32 student tickets she would get 64 from that, if we add the amount of people that bought tickets and how much she got it would work out

with 18 adults+32 students being exactly 50

and 90+64 being 154.

I tried different solutions, I did 18 adults and 32 Students, since there are 50 tickets sold, this is the correct answer since if we do this the amount she makes from the adults will be 90 and she will make 64 from the students this will add up to $154

422801,15÷101
long division​

Answers

Answer:

4186.15

Step-by-step explanation:

Answer:

418,615 or 4,186.15

Step-by-step explanation:i cant tell if it is a desimal or a full number if desimal 4,186.15 if not desimal 418,615

aayan gets 48 out of 60 in his music exam. state the result as a percentage

Answers

Answer:

It can be set up as: 48/60

But it can also written as 48 divided by 608. When we put a percent sign we always move the decimal to the right two places. The percentage is 80%

How do you solve?
2.5 x 1/4=

Answers

here you go, hope this helps

Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)​

Answers

Answer:

equation of the line: 2x - y = 1

Step-by-step explanation:

Given coordinates: (2, 3) and (3,5)​

find slope of the equation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

using the formula:

→ [tex]\frac{5-3}{3-2}[/tex]

→ [tex]2\\[/tex] .............this is slope, also refereed as (m) in short form.

using the equation formula:

y - y1 = m ( x - x1 )

using the formula:

→ y - 3 = 2 ( x - 2 )

→ y - 3 = 2x - 4

→ y = 2x -4 +3

→ y = 2x - 1

→ -2x + y = -1

→ (-2x + y)/-1 = -1 /-1             [ divide both sides by -1 ]

→ 2x - y = 1  .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.

What is the slope of
A. y - 5 = 3/2 (x + 4)
B. y + 2 = 5x
C. y = -2 (x - 5/8)

Answers

Answer:

[tex] - - - - - (a) \: y - 5 = \frac{3}{2} (x + 4) \\ y - 5 = \frac{3}{2} x + \frac{3 \times 4}{2} \\ y - 5 = \frac{3}{2} x + 6 \\ y = \frac{3}{2} + 11 \\ (the \: slope \: is \: \frac{3}{2} ) \\ - - - - - - - - ( b) \: y + 2 = 5x \\ y = 5x - 2 \\ (the \: slope \: is \: 5) \\ - - - - -(c) \: y = - 2(x - \frac{5}{8} ) \\ y = - 2x + \frac{5}{4} \\ (the \: slope \: is \: - 2)[/tex]

What is the justification for step 3 in the solution process?

0.8a − 0.1a = a − 2.5
Step 1: 0.7a = a − 2.5
Step 2: -0.3a = -2.5
Step 3: a = 8.3

Answers

Answer:

value of a=8.333

Step-by-step explanation:

we take equation two and hence we divide both side by -0.3

hence

-2.5/-0.3

=8.333

Answer:

is letter A .the division property of equality

Step-by-step explanation:

Hope it help you!!

Which of the following options represents a logical first step that can be used
1
2
to prove the trigonometric identity
1-sin(x) '1+sin(x) cos? (x)
+
?
O
A.
1+sin(x) +1-sin(x)
1-sin(x)
2
cos? (x)
B.
1
1
1
1-sin(x) 1+sin(x)
1
2
cos(x)
C.
2
1
1-sin(x) cos(x) 1+sin(x)
D.
2
1
1+sin(x) cos'(x) 1-sin(x)

Answers

Answer:

A) [tex]\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]

Step-by-step explanation:

By combining the fractions on the left side into one fraction, we have:

[tex]\frac{1}{1-sin(x)}+\frac{1}{1+sin(x)}=\frac{2}{cos^2(x)}\\ \\\frac{1+sin(x)+1-sin(x)}{(1-sin(x))(1+sin(x))}=\frac{2}{cos^2(x)}\\\\\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]

Also, given the Pythagorean Identity [tex]sin^2(x)+cos^2(x)=1[/tex], then [tex]cos^2(x)=1-sin^2(x)[/tex].

If Olivia solves every sixth math problem and Nora solves every fifth math problem in a worksheet, which question will be the first that they both solve?

Answers

Answer:

the 30th question

Step-by-step explanation:

the LCM of 5 and 6 is 30 meaning that the question that they will both do is the 30th question.

Order the numbers from least to greatest. -1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. -1.95, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95, -1 WOMALOWAS Please select the best answer from the choices provided B c D​

Answers

Answer:

Step-by-step explanation:

uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95

The larger the negative number, the lower the value the number actually is.


Answer: b. -1.95, -1.895, -1

If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG

please help I have no idea how to do this its geometry problem for my math hw even my parents and siblings who are older than me don't know how to do this

Answers

Answer:

EG = 2 units

Step-by-step explanation:

Given that line q bisects EG at T , then

ET = TG  ( substitute values )

[tex]\frac{1}{3}[/tex] x = x - 2 ( multiply through by 3 to clear the fraction )

x = 3x - 6 ( subtract x from both sides )

0 = 2x - 6 ( add 6 to both sides )

6 = 2x ( divide both sides by 2 )

3 = x

Then

ET = [tex]\frac{1}{3}[/tex] x = [tex]\frac{1}{3}[/tex] × 3 = 1

TG = x - 2 = 3 - 2 = 1

Thus

EG = ET + TG = 1 + 1 = 2 units

EG = [tex] \frac{4x}{3} - 2[/tex]

Step-by-step explanation:

( First check the attached image for diagram )

[tex]EG=ET+TG[/tex]

Substituting the given values,

[tex]EG = \frac{1}{3}x + (x - 2)[/tex]

Opening the brackets and multiplying,

[tex]EG = \frac{1 \times x}{3} + x - 2 [/tex]

[tex] = > EG = \frac{x}{3} + x - 2[/tex]

Finding LCM,

[tex] = > EG = ( \frac{x}{3} + \frac{x \times 3}{1 \times 3} ) - 2[/tex]

[tex] = > EG = ( \frac{x}{3} + \frac{3x}{3}) - 2[/tex]

Combining them,

[tex]EG =( \frac{x + 3x}{3}) - 2[/tex]

[tex]EG = \frac{4x}{3} - 2[/tex]

Note:- T is midpoint of EG

because ET = TG

Can anybody help me with this

Answers

Answer:

c ≈ 9.1 m

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

c² = 4.1² + 8.1² = 16.81 + 65.61 = 82.42 ( take square root of both sides )

c = [tex]\sqrt{82.42 }[/tex] ≈ 9.1 m ( to the nearest tenth )

Need help with this question ASAP for geometry!

Can the triangles be proven similar?

Answers

#1, they are similar by SAS

Graph the solution to this inequality on the number line.

−12≥−4p

Answers

Answer:

A closed circle on 3 going right.

Step-by-step explanation:

-12 ≥ -4p

/-4   /-4

3 ≤ p which also mean p ≥ 3

This will be a closed circle on 3 going right.

Hope that helps!

Find x, then find the measurement of both angles.

Answers

Answer:

x=30

Step-by-step explanation:

2x+54=4x-6[corresponding angles]

2x-4x=-6-54

-2x=-60

x=-60÷-2

x=30

HELP ME NOWWW PLS K12

Answers

Answer:

2 units

Step-by-step explanation:

The area of the isosceles triangle below

Answers

Answer:

area:39

Step-by-step explanation:

helpo helpo I'm gonna ie

Answers

are those the answer choise?

Step-by-step explanation:

Answer:

this is extremely simple. the sasha one is right.

Step-by-step explanation:

=======

:))

please I need the answers now​

Answers

a 2
b -42/3
c 10
d 36/5
e -2/5
f 18/5
g 2
h 30/7
i 6
j 8

Find the value please and ty

Answers

Answer:

-3

Step-by-step explanation:

The value of f(-3) can be found at looking at the x-value of -3, then drawing a vertical line. If you look at the point where the vertical line hits th graph, you get the point (-3,-3)

The y-value is what we are looking for, which is -3.

-Chetan K

Help me I need help please please help

Answers

Answer:

B is the answer I believe. I could be C tho. B is my final answer.

Alexa put $850 into savings account that earns 0.75% annual simple interest. If Alexa doesn’t make any deposits or withdrawals for 18 months, how much money will be in her account?

Answers

Principal= 850

rate = 0.75%

period = 18months

interest = 850x0.75%x18

= 850x0.0075x18

= 114.75

amount after 18 months

= 850+114.75 = $964.75

Can someone help me!?

Answers

Answer:

A

Step-by-step explanation:

Set equation equal to 0

Convert the statement into if-then form, "Squares have right angles."

Answers

Answer:

If the shape is a square, then it has right angles.

Answer:

If a shape is a square, then it has right angles.

Step-by-step explanation:

Hi there!

The statement 'squares have right angles' tells us that any and all squares have right angles. Therefore, if a shape is a square, then it has right angles.

I hope this helps!

Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle is shown with one side labeled as 2 x minus 2 and another side labeled as x plus 4. 2x2 3x − 20 2x2 13x − 1 2x2 13x − 20 2x2 3x − 1.

Answers

The Simplified polynomial expression in the standard form which represents the area of the given rectangle  is,

[tex]2x^2+6x-8[/tex]

What is area of rectangle?

The area of rectangle is the product of its length and width. It can be given as,

[tex]A=a\times b[/tex]

Here, (a) is the length of the rectangle and (b) is the width of the rectangle.

Given information-

One side of the rectangle is labeled as 2x-2.

Another side of the rectangle is labeled as x+4.

The image of the rectangle is attached below.

Let (l) is the length of the rectangle and (w) is the width of the rectangle.

In the below image, the length of the rectangle is,

[tex]l=4x+2[/tex]

The width of the rectangle is,

[tex]w=2x-2[/tex]

The area of the rectangle is the product of its length and width. Thus the area of the given rectangle is,

[tex]A=l\times w\\[/tex]

Put the values in the above expression as,

[tex]A=(x+4)\times(2x-2)\\A=2x^2+8x-2x-8\\A=2x^2+6x-8[/tex]

Thus the area of rectangle in simplified polynomial expression in the standard form is,

[tex]2x^2+6x-8[/tex]

Learn more about the area of rectangle here;

https://brainly.com/question/25292087

six tickets were purchased a total cost pf $345. the cost of each ticket includes a $11.25 fee. what was the price of each ticket before the fee was applied?

Answers

Answer:

57.50

Step-by-step explanation:

simply divide 345/6 which equals 57.5 which is 57.50

Answer:

price before fee was applied is $46.25

Step-by-step explanation:

$345/6= $57.5

divide total cost by number of tickets bought

$57.5-$11.25= $46.25

subtract the fee applied

Please help me with this math problem!! NO LINKS PLEASE!! I will give brainliest!!

Answers

Answer:

z = 7, x = 3, y = 20

Step-by-step explanation

3z + 5 = 26

3z = 21

z = 7

NP = NQ x 2

8x - 4 = 4x + 8

4x = 12

x = 3

y = pq/2

p = y; q = 10

10 x 2 = 20

y = 20

I hope this helps!

What is the radius and diameter of 11cm

Answers

I believe it is 5.5cms

Step by Step Explanation:
11 divided by 2 is 5.5cms
The diameter of a circle ⭕️ is two times its radius.

Hope this helps!!!!

Answer: Radius=11cm Diameter=22cm

Step-by-step explanation:

4) Shown below is a series of steps to solve the equation 4x + 2(x - 4) = 28.
Given: 4x + 2(x - 4) - 28
Step 1 = 4x + 2x - 8 = 28
Step 2 => 6x - 8 = 28
Step 3 => 6x - 8 + 8 = 28 + 8
Step 4 = 6x = 36
6x36
Step 5
6 6
Step 6 => x = 6
Which THREE statements are correct?
A) Step 1 is justified by the distributive property.
B) Step 2 is justified by the subtraction property of equality
C) Step 3 is justified by the addition property of equality
D) Step 4 is justified by the additive Identity property.
E) Step 5 is justified by the division property of equality

Answers

It is a! I did this assignment and got it right that’s how I know!
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