3 A Gas station A charges $3.50 per gallon of gas plus 58 for a car wash. Gas station B charges $3.25 per gallon of gas plus S10 for a car wash. How many gallons of gas must a customer purchase for the total cost to be the same at both gas stations? ​

Answers

Answer 1

9514 1404 393

Answer:

  8 gallons

Step-by-step explanation:

The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...

  $2/($0.25/gal) = 8 gal

to make the costs the same.

The customer must purchase 8 gallons for the total cost to be the same at both gas stations.

___

  3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash

  0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides

  g = 2/.25 = 8 . . . . . . the way we did it above


Related Questions

Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9

Answers

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

[tex]x=9[/tex]

Now,

[tex]CD=2x[/tex]

[tex]CD=2(9)[/tex]

[tex]CD=18[/tex]

And,

[tex]CE=CD+DE[/tex]

[tex]CE=18+9[/tex]

[tex]CE=27[/tex]

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

The measure of CD and CE are 18 and 27 respectively

From the given diagram, the following are true:

CD = 2DE

Given that DE = 9

CD = 2(9)

CD = 18

Similarly;

CE = CD + DE

CE = 18 + 9

CE = 27

Hence the measure of CD and CE are 18 and 27 respectively

Learn more on centroid here: https://brainly.com/question/25845737

Ethan and Bob are having a skateboard race. Ethan began at the starting line
and rode at a constant rate of two feet per second. Bob had a fourteen-foot
head start and rode three feet every five seconds.
What's is the linear equation

Answers

Answer:

aa

Step-by-step explanation:

aa

Sal has 3 of a sheet of poster board. Four friends are sharing the sheet equally. What fraction of the original sheet does each friend get?​

Answers

Answer:

Step-by-step explanation:

3 sheets are shared between four friends.

Each friends will get = 3 ÷ 4

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

Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.

Answers

Answer:

[tex]3x+5y[/tex]

Step-by-step explanation:

Subtract (6x-3y) from (9x+2y):

[tex](9x+2y)-(6x-3y)[/tex]

This can also be seen as:

[tex](9x+2y)-1(6x-3y)[/tex]

Distribute the -1 to (6x-3y):

[tex](9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y[/tex]

Simplify the parentheses:

[tex]9x+2y-6x+3y[/tex]

Group like terms:

[tex](9x-6x)+(2y+3y)[/tex]

Combine:

[tex]3x+5y[/tex]

This expression can't be further simplified. Therefore, 3x+5y is the answer.

:Done

In rectangle LONG, LN = 40 and ON=24. Find LO.​

Answers

Answer: LN 40

Step-by-step explanation: Because thin of the answers and how to do it

Answer: LN 40

Step-by-step explanation:

Using The graph below identify the axis of symmetry for the parabola below 

Answers

Answer:

x=-3

Step-by-step explanation:

The axis of symmetry is the line that separates a parabola directly in half. It is measure on x axis because it is being split in terms of that number. Next, you identify the origin and find exactly where the parabola is in half and that is your answer. Another way to do this would be to identify the vertex of the parabola. The answer is the x coordinate of the location of the vertex. (The highest point of a parabola.)

When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

Answers

Answer: Rs. 25,300

Step-by-step explanation:

First find the original price of the plot:

Assume this price is x:

x * ( 1 - 15%) = 18,700

0.85x = 18,700

x = 18,700/0.85

x = Rs. 22,000

To make a gain of 15%, sell at:

= 22,000 * (1 + 15%)

= 22,000 * 1.15

= Rs. 25,300

Find the gradients of line a and b

Answers

════════ ∘◦❁◦∘ ════════

Answer

• Line A = 4

• Line B = (-2)

═══════════════════════

Formula of the gradient

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

══════════════════════════

Known that

•Line A

x1 = 0

y1 = -6

x2 =5

y2 = 14

• Line B

x1 = 7

y1 = -6

x2 = -3

y2 = 14

══════════════════════════

Way to find gradient

•Line A

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{14 - ( - 6)}{5 - 0} = \frac{20}{5} = 4[/tex]

•Line B

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{14 - ( - 6)}{( - 3) - 7} = \frac{20}{ - 10} = ( - 2)[/tex]

══════════════════════════

For moderators that see this

#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long and take a lot of my time, how can you just instanly delete this? :(

══════════════════════════

Helpppppppppppppppppp is this right

Answers

Answer:

The first one is B and the second one is correct

Step-by-step explanation:

Answer:

I think 1 is actually B and 2 is right -Your friend, Bill Cipher

Step-by-step explanation:


For a science experiment, Jack adds 1 tsp of salt to 3 tsp of water. Mika adds 4 tsp
of salt to 9 tsp of water. Whose water is saltier?

Answers

Answer:

Mika

Step-by-step explanation:

Jack's water is 1/3 salty water while Mika's water is 4/9 salty water and 1/3 = 3/9. 4/9 is greater than 3/9 so mika's is saltier.

Bajsbsjsnnsbsnsjebnzsnsjbsbsh

Hellppppp pleaseeee ASAP

Answers

Answer:

can you type the answer because the picture doesn't show i can help you I'm in college and know basically everything about math type it in and i gotchu homie

Answer:

Hola its MEEEE

Step-by-step explanation:

8 pomegranates cost $20.24.
How many full pomegranates can you buy for $50?

plz help

Answers

Answer:

19.76

Step-by-step explanation:

8/20.24=x/50

cross product

20.24*x=8*50

20.24x=400

x=400/20.24

x=19.76

please i need help
and I need to have work
ds here so I guease this ends a conversation please help ​

Answers

Answer:

Step-by-step explanation:

9 is 4a + 6b - 3c

10 is 2x(small 2) - 6 + 5x

11 is 5 - 2d

12 is - 3x

13 is - a - b

14 is 7c + 9d

15 is 4x(small 2) + 9x - 16

16 is 12y -14

17 is 2a(small 2) + 3ab

I hope I got them all correct. If I got any wrong, feel free to tell me so I can check my work. : )

similar right triangles plss helpp

Answers

Answer:

your añswer is c) I hope it helps!

Answer:

C

Step-by-step explanation:

Heng tried to define a reflection across line r.

Any point M not on the line of reflection maps to a point M' such that the midpoint L of M→M' is on line r.

Which counterexample shows that Heng's definition does not fully define a reflection?

Answers

The counterexample shows that Heng's definition does not fully define a reflection is Heny fully defined a reflection. Option D

How to determine the counterexample

Consider the counterexample in which point M is above line r and the line itself is a vertical line.

Assume M is located at (0, 2) and that line r is the x = 1 line. Heng's definition states that point M', which has a midpoint L that is on line r, should reflect point M across line r.

However, point M' at (-1, 2) would be the reflection of point M across line r, which does not meet the requirement that the midpoint L lies on line r. Therefore, in this counterexample, Heng's definition does not adequately characterize a reflection.

Learn more about reflection at: https://brainly.com/question/1908648

#SPJ1

On a windless day In Janurafy, Carl ties 300 helium filled balloons to his lawn chair 80ft from his 20ft tall house, and begins a vergical ascent into the sky. Hos high is carl when the angle lf depression from carl to the top of his house is 42°

Answers

Answer:

The answer is below

Step-by-step explanation:

θ = 90° - 42° = 48°

The angle formed is a right angled triangle, therefore trigonometric identities can be used to find the length of the triangle sides.

tan(θ) = opposite / adjacent

tan(48) = 80 / h

h = 80 / tan(48)

h = 72.03 ft

h is the vertical distance from carl to the top of his house, to get his total height to the ground (H), we use:

H = h + height of house

H = 72.03 + 20

H = 92.03 ft

Therefore Carl is 92.03 ft high

Why did the North allow the Constitution to protect slavery?

Answers

Answer:

hope helps

Step-by-step explanation:

The Constitution gave the federal government the power to put down domestic rebellions, including slave insurrections. The framers of the Constitution believed that concessions on slavery were the price for the support of southern delegates for a strong central government.

Answer:

The North allowed the constitution to protect slavery because they belived that slavery was an unhuamne thing although all their production for industrialization did come from the south where the slaves worked on them.

Step-by-step explanation:

Abby is registering at a Web site and must select a six-character password.The password can contain either letters or digits.
a.How many passwords are possible if characters can be repeated? if no characters can be repeated?
b.How many passwords are possible if all characters are letters that can be repeated? if the password must contain exactly one digit? Which type of password is more secure? explain

Answers

Answer:

a. 2176782336 with repeated characters. 1402410240 with no repeated characters.

b. 7964171460 when all letters can be repeated, but not numbers. 118813760 when only one number and letters can be repeated.

I believe that the password with all letters able to repeat and numbers not being able to is the most secure password, because if someone were to guess the password there is a 1/7964171460 chance of guessing the password.

Step-by-step explanation:

A. Since there are 26 different letters and 10 different numbers, there are 36 characters we can type. If characters can be repeated then, there is 2176782336 different passwords, since on all six number there are 36 possibilities each. So, 36 x 36 x 36 x 36 x 36 x 36 or 36^6 is to evaluated to find the answer. If characters are not to be repeated, there are 1402410240 different passwords, since on the first number there are 36, second has 35, third has 34, fourth has 33, fifth has 32, and sixth has 31. So, 36 x 35 x 34 x 33 x 32 x 31 is to be evaluated to solve this.

B. Since all characters that are letters can be repeated, then there are 26 letters to use forever and 10 numbers you can use with a limit. So, 36 x 35 x 34 x 33 x 32 x 31 which is to be solved if only numbers were to be used, which is 1402410240. Then, you add that with 36 x 35^5 and 36 x 35 x 34^4 and 36 x 35 x 34 x 33^3 and 36 x 35 x 34 x 33 x 32^2. which will be 7964171460. If the password must contain one digit, then you must multiply 10 with 26^5. Since, there is 10 different digits to use for the first number and 26 letters to choose from for the other five. So, it will be 26^5 times 10 which is 118813760.

1 Find the x-intercept as a point (x,y).
I'm not quite sure what to do can someome please help me quick. I'll make brainliest​

Answers

Answer:

x,0

Step-by-step explanation:

x-intercept just means where the line crosses the x axis. the x-intercept is x,0

Answer:

X intercept is ( -1 , 2)

Step-by-step explanation:

A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?​

Answers

i have no idea i’m sorry

Find the area of the trapezoid. A drawing of a trapezoid with length of two parallel sides equal to a mixed fraction of one and a half centimeters and three and a half centimeters. The altitude of the trapezoid is 4 centimeters.

Answers

Answer:

[tex]10cm^2[/tex]

Step-by-step explanation:

We are given that

Two parallel sides of trapezoid are

[tex]a=1\frac{1}{2}cm=\frac{3}{2}=1.5cm[/tex]

[tex]b=3\frac{1}{2}=3+0.5=3.5 cm[/tex]

Height of trapezoid, h=4 cm

We have to find the area of the trapezoid.

We know that

Area of trapezoid=[tex]\frac{1}{2}(a+b)h[/tex]

Where a and b are two parallel sides

h=Height of trapezoid

Using the formula

Area of trapezoid=[tex]\frac{1}{2}(1.5+3.5)\times 2[/tex]

Area of trapezoid=[tex]10cm^2[/tex]

Please help.
Is Algebra.

Answers

Y= -6 - 26 because the equation y + 2 = -6(x + 4) you use distributive property so it is now y + 2 = -6x - 24 now take the 2 and subtract it from -24 giving -26 giving the answer y = -6 - 26

I probably said that in a really confusing way but I think I’m correct

factor the trinomial below
x^2+15x+56
a. (x+4)(x+14)
b. (x-7)(x-8)
c. (x+7)(x+8)
d. (x-4)(x-14)

Answers

C is the answer because 7+8= 15 and 7x8= 55

Find the sum. Write your answer in standard form. Look at the screenshot below!

Answers

Step-by-step explanation:

[tex] \tt{(6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) }[/tex]

Remove the unnecessary parentheses

⟶ [tex] \tt{6 {x}^{3} + 3 {x}^{2} + 3 + 2 {x}^{3} - 5x + 1 }[/tex]

Combine like terms. Like terms are those which have the same base. Remember that only coefficients of like terms can be added or subtracted and their bases remains the same.

⟶ [tex] \tt{6 {x}^{3} + 2 {x}^{3} +3 {x}^{2} + 3 + 1 - 5x}[/tex]

⟶ [tex] \tt{8 {x}^{3} + 3 {x}^{2} + 4 - 5x}[/tex]

In standard form , the expression should be written in a way that power of variables goes from highest to lowest.

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed {\underline{ \tt{8 {x}^{3} + 3 {x}^{2} - 5x + 4}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

please with full explanation​ please it's urgent

Answers

Answer:

u have some very good handwriting

Please help! Will mark brainliest when I get the results back ;)

Answers

Answer:

13.7ft^2

Step-by-step explanation:

Area for triangle:

The formula for the area of a triangle in this scenario is area=(b*h)/2

The base length is 3.6ft and the height is 4.8ft. We can now substitute these values into the equation. So:

area=(3.6*4.8)/2

area=8.64ft^2 for the triangle

Area for semi-circle:

The formula for the area of a circle is area=pi*r^2. To find the area of the semi-circle, we can half the area of the circle at the end.

The question says to use 3.14 for the value of pi.

The diameter is given as 3.6ft, so to find the radius, we simply divide the diameter by 2; so 3.6/2=1.8ft for the radius

Now, we can just substitute these values into the equation above. So:

area=3.14*(1.8)^2

area=3.14*3.24

area=10.1736ft^2 (DO NOT ROUND THIS ANSWER!!).

However, this area is for the COMPLETE circle. We want the area for the semicircle shown above. Therefore, divide the circle area by 2. So:

10.1736/2=5.0868ft^2 for the semicircle.

Total area of shape

Now we have the area of the two separate shapes, we can simply add them together. So:

8.64ft^2 + 5.0868ft^2 = 13.7268ft^2 altogether (unrounded)

Now, finally we must round to 1/10, or to 1 decimal place. Therefore, the final value for the area would be 13.7ft^2.

Hope this helped!!

Write the expression using only positive exponents. Assume no denominator equals zero.
4y^-2

Answers: none of these
-8y^2
1/4y^2
16y^2
4/y^2

Answers

Answer:

The answer is

[tex] \frac{4}{ {y}^{2} } [/tex]

Solve the simultaneous equations.
Please help

Answers

Answer:

x=1/2, y=4

Step-by-step explanation:

Double both sides of the top equation:

4x+6y=26

Now subtract boths sides of the second one from the first one:

(4x+6y) - (4x-y) = 26 - (-2)

7y = 28

so y = 4

4x-y=-2 so 4x-4=-2

4x=2

x=1/2

Suppose a constellation of stars is plotted on a coordinate plane. The coordinates of the first star are (–2, 4). The second star is translated down 4 units. What are the new coordinates?

Answers

Answer:

Coords (-2,0)

Step-by-step explanation:

Translation means moving the point in the direction that is stated by the amount stated. Down means decreasing the number value along the y-intercept. So using simple math subtract 4 by 4 and you get 0. Since we don't move the left or right which means going along the x-intercept lines. We get (-2,0)

Can somebody give the answer pls

Answers

Answer: OOO I KNOW THE FOURTH ONE

Step-by-step explanation: y^2  +  z^2 = x^2

Answer:

D

Step-by-step explanation:

According to the Pythagorean's theorem, in a right triangle, the sum of the adjacent side squared and opposite side squared is equal to the hypotenuse squared in other words

[tex]y^{2} + z^{2} = x^{2}[/tex]

Other Questions
Solve the following system of linear equations using elimination.2x+7y=168x6y=24 Write an equation to represent the following statement. j is 25 more than 3 Solve for j original price is 45 and the new price is 56 what is the percent change Convert 2.235 to the simplest fraction which statement do not refer to a specific period time? Read and choose the correct word for the blank that matches the image. A room with green curtains Mi dormitorio tiene ________ verdes. los patios los tapetes las puertas las cortinas Why do you think the fighting between Americans and Japanese was so intense? Which of these statements describe the changes that happened in American in the 1950s 6. 14.8 divided by 0.08 Steven has 1 bag that contains disks numbered 1, 2, 3. He also has a second bag that contains four disks named A, B, C, and D. Construct a sample space of picking one disk randomly for each bag and state the total of outcomes possible The point (4,3.5) is the maximum of the profit function.A.Explain what the point (4,3.5) represents in terms of the context of the graph.The function shown describes f(x), the cost (in hundreds of thousands of dollars) of making x bicycles (in thousands).F(x)=1.25+0.35xB.what is the cost to make 4,000 bicycles? Show your work.Compare the slope of the cost function with the graph of the profit function.C. Explain why the company should plan on making fewer than 4,000 bicycles. I NEED HELP!!!!!!!!!!!!!!!!!!!!!! short notes on the topic of price determination Could you help answer all these questions please I need it ASAP Its the PDF Pretty please Question 4 of 10Which of these is most likely to be the primary goal of a movie producer?A. To get across a political point of viewB. To entertain an audience by telling a storyC. To manipulate the audience into having an emotional reactionD. To inform people about different characters' motivations what's [tex] \sqrt{225} [/tex] atom is to molecule as letter is to...1.chemical2.number3.word Which of the following was a result of Islamic expansion on Western Europe? A. The development of a written alphabet b.the creation of a decimal system c. The formation of a democratic system d.the expansion of free market system Give the prime algebraic factorization: 15a2b = _____ Over an interval of 4.0 s the average rate of change of the concentration of B was measured to be -0.0760 M/s. What is the final concentration of A at the end of this same interval if its concentration was initially 1.600 M?