A shoppers discount club charges a monthly fee of $15 and sells gasoline for $3.55 per gallon. The gas station across the street sells gasoline for $3.85 per gallon in charge is no fee. How many gallons of gasoline would you have to buy in one month to spend the same amount at either store? Write an equation to model the situation. Then solve.

Answers

Answer 1

Answer:

a. 15 + 3.55x  = 3.85x b. 50 gallons

Step-by-step explanation:

a. Let x be the number of gallons of gasoline bought in the one month which makes the amount the same in either store.

The amount it costs to buy x gallons of gasoline in the shoppers discount club is 15 + 3.55x and the amount it costs to buy x gallons of gasoline in the gas station is 3.85x.

Since the amount is supposed to be the same after x gallons, we have that

15 + 3.55x  = 3.85x

b. Solving this equation for the gallons of gasoline, x we find that

15 + 3.55x  = 3.85x

collecting like terms, we have

15 = 3.85x - 3.55x

15 = 0.30x

x = 15/0.30

x = 50 gallons

So, they must buy 50 gallons of gasoline to spend the same amount in one month.


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The expected value of a fair game is *
zero
greater than 1
between -1 and 1
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greater than 1 I think I do

(WILL GIVE BRAINLIEST!!)
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What is it asking? I don’t understand

simplify the expression and write in standard form
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what they said is right ;)

Help me please some one !!!?!?! Find x= y=

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Answer:

x=11 y=41

Step-by-step explanation:

(4x+6) is equal to (6x-16) so if you put them equal to each other and solve you get x=11. (y+9) is vertical to (6x-16) so theyre equal as well which you then solve to get 41 for y.

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[tex]6x - 16 = 4x + 6[/tex]

Add sides 16

[tex]6x - 16 + 16 = 4x + 6 + 16[/tex]

[tex]6x = 4x + 22[/tex]

Subtract sides 4x

[tex] - 4x + 6x = - 4x + 4x + 22[/tex]

[tex]2x = 22[/tex]

Divide sides by 2

[tex] \frac{2}{2} x = \frac{22}{2} \\ [/tex]

[tex]x = 11[/tex]

_________________________________

[tex]y + 9 = 6x - 16[/tex]

[tex]y + 9 = 6(11) - 16[/tex]

[tex]y + 9 = 66 - 16[/tex]

[tex]y + 9 = 50[/tex]

Subtract sides 9

[tex]y + 9 - 9 = 50 - 9[/tex]

[tex]y = 41[/tex]

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A number x is more than -6 and at most -1.

Answers

Answer:

x could be -5, -4, -3, -2, -1

hope this helped!! plz mark as brainliest!!

What is the reciprocal of 36 divided 3/4

Answers

Answer:

1/27

Step-by-step explanation:

The reciprocal of 36 is 1/36 divided by 3/4

If you simplify 1/36 * 4/3

which equals 1/27

Hope this helps!

Answer: 48

Divide the first expression by the 2nd expresion

The movie theatre charged $4 for each child ticket and $6 for each adult
ticket. If Mr. Santos spent $180 on movie tickets, write a standard
equation that represents the number of adult tickets, a, and the number
of children tickets, c, that were purchased."

Answers

Answer:

$180=4c+6a

Step-by-step explanation:

f(x)=x^3+6x^2-x-30;(x+5)​

Answers

Answer:

Step-by-step explanation:

x3+6x2x−30 Factor x3+6x2−x−30(x−2)(x2+8x+15)Factor  x2+8x+15  using the AC method.(x−2)x+3)(x5

Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.

Answers

Answer:

100 degrees

Step-by-step explanation:

50x=49x+2

x=2

49x+2=100

Answer:

100 degrees

Step-by-step explanation:

49x+2 and 50x are equal because if you use vertical angles, then opposite interior, then vertical angles again, you would see that they are congruent.

49x+2=50x

x=2

Plug it in:

50(2)=100 degrees

NEED HELP ASAP
Which graph represents the solution set to this system of equations?
–x + 2y = 6 and 4x + y = 3
On a coordinate plane, a line goes through (negative 1, negative 1) and (0, 3) and another line goes through (1, 4) and (2, 2).
On a coordinate plane, a line goes through (negative 4, 0) and (0, 4) and another line goes through (negative 1, 1) and (0, negative 3).
On a coordinate plane, a line goes through (0, 3) and (2, 4) and another line goes through (0, 3) and (1, 0).
On a coordinate plane, a line goes through (0, 0) and (4, 3) and another line goes through (2, 5) and (4, 4).

Answers

Answer:

I think its C

Step-by-step explanation:

Sorry if im wrong :/

Answer:

The correct answer is C.) The third graph

Step-by-step explanation:

I just did the assignment on edge and got it right

BRAINLY OLS HELP ME OUT RIGHT NOW ASP !

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Answer:

vertical

Step-by-step explanation:

Expand and simplify (with steps)
5(x + 2y) – 4(y - x)​

Answers

Answer:

9x + 6y

Step-by-step explanation:

Given

5(x + 2y) - 4(y - x) ← distribute both parenthesis

= 5x + 10y - 4y + 4x ← collect like terms

= 9x + 6y

Tito solved this equation.

Which of the following properties did he use? Check all that apply.

Commutative property of equality
Associative property of equality
Distributive property of equality
Multiplication property of equality
Addition property of equality

Answers

Answer:

Distributive property of equality

Commutative property of equality

Associative property of equality

Step-by-step explanation:

Given r(x)=x^3-4x^2+4x-6, find the value of r(2). What does your answer tell you about x-2 as a factor of r(x)? Explain.

Answers

Answer:

-6

Step-by-step explanation:

r(2)=2^3-4(2)^2+4(2)-6

r(2)=8-16+8-6

r(2)=-6

The Value of r(2) is -6 and x-2 is not a factor of r(x).

What is the value of a function on a Variable?

A real-valued function of a real variable is a function that takes as input a real number, commonly represented by the variable x, for producing another real number, the value of the function, commonly denoted f(x).

What is Factor?

A factor of polynomial P(x) is any polynomial that divides evenly into P(x).

How to find out the value of r(x)?

Given  r(x)=x^3-4x^2+4x-6,

Put x = 2 ,

r(2)=2^3-4(2)^2+4(2)-6

r(2)=8-16+8-6

r(2)=-6

As we see that x=2 is not equal to zero,

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Learn more about factors on :

https://brainly.com/question/24380382

#SPJ2

help me please someone actually help . if rendom youre getting reported sorry

Answers

Answer: 1.2 x 10^12.

Step-by-step explanation:

200 billion is 2 x 10^11

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The school cafeteria has chocolate chip cookies and oatmeal cookies for dessert. What is the probability that exactly 3 of the next 5 students in line will select chocolate chip cookies if everyone selects a cookie, and students prefer chocolate to oatmeal 2 to 1?

Answers

Answer:

The probability that 3 out of 5 student select chocolate chip cookie is 2/5

Step-by-step explanation:

The number of student in the sample = 5

The number of student that select the chocolate chip cookie = 3

The ratio of preference of chocolate to oatmeal = 2 to 1

Therefore, out of every 3 cookie, selected, 2 are chocolate while one is oatmeal

Which gives;

The probability that a cookie selected is chocolate = 2/3

The combined probability that 3 out of 5 student select chocolate chip cookie is therefore;

P(3 of 5 select chocolate chip cookie) = 3/5 × 2/3 = 6/15 = 2/5

The probability that 3 out of 5 student select chocolate chip cookie = 2/5.

Which is the equation of the line that passes through the points (9,2) and (7,-4)?

Answers

Answer:

y=3x-25

Step-by-step explanation:

Please help ASAP and I'll also mark brainliest! For all three solve for X and Y!!

Answers

Answer:

x = 24

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Step-by-step explanation:

[tex] \because l || m..... (given) \\

\therefore (2x +13)\degree + 47\degree +(3x)\degree = 180\degree \\(interior \:\angle 's\: on \: same \: side \: of \: ||\: lines) \\

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\huge \red {\boxed {\therefore x = 24}} \\\\

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A patient drink 150mL of water. How many fluid ounces is this?

Answers

Answer:

5.07 ounces

Step-by-step explanation:

Answer:

5.07 ounces

Step-by-step explanation:

:)

|-4| +7-|3|
a. -8
b.0
c.14
d.8​

Answers

Answer:

D

Step-by-step explanation:

What is the solution: 4(2x + 1) = –28

Answers

Answer:

4(2x+1)=-28

2x+1=-7

2x=-7-1

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x=-4

which equation has a slope of 1/2 and a y-intercept of -5
A. 2x+y= -5
B. 2x-y= 5
C. x+2y= -10
D. x-2y= 10
(not A I chose that one and got it wrong) i will give brainlly

Answers

D because move x over to the other side of the equal sign then you have -2y=-x+10 divide all by -2 that gives you y=1/2x - 5

. Communication Your cell phone company offers two text-messaging plans. One plan costs $.25 per text message, plus a monthly fee of $9. The other plan costs $.40 per text message with no monthly fee.
For how many text messages will both plans cost the same amount?
Reasoning If you use about 80 text messages each month, which plan should you choose? Explain.​

Answers

Answer:

0.25 x 80= 20

           20+9 =29

    2. 0.40 x 80= 32

The first one is better

I hope you pick me as brainliest...

NEED HELP FASt will give brain and high rating pleassee and thank you :)

Answers

Answer:

1.x^2+5x-24

2.-12x^2-7x+10

3.x^2-16

4.x^2+10x+25

5.4x^2+28x+49

6.x^2-49

7.10x^3+18x^2-19x+3

8. 3x^3-5x^2+3x-10

Step-by-step explanation:

Match the vocabulary to the proper definition.

two quantities that increase or decrease (change) by the same factor; also known as directly related

a method of paying someone based on a percentage of their sales

a small amount of money given for a service

the rate of change in a direct variation; also known as the constant of proportionality

multiplying diagonally across the equal sign in a proportion

commission
cross multiplication
directly proportional
constant of variation
gratuity (or tip)

Answers

Answer:

Dont knnow if i am fully right but

1-A

2-C

3-E

4-D

5-B

Step-by-step explanation:


An object travels 8 miles in 20 minutes at a constant speed. What is the object's speed in miles per hour?

Answers

Answer: 24 miles per hour

Explanation: 20 minutes * 3 = 60 minutes
60 minutes = 1 hour
8 miles * 3 = 24 miles

2. Which equation is equivalent to the equation 7x – 10 = 2x - 5? You must show
your work. *
7x - 5 = 2x
7x + 5 = 2x
7x - 10 = 2x
7x - 15 = 2x

Answers

Answer:

7x -5 = 2x

Step-by-step explanation:

Here, we want to write an equation which is equivalent to what is given

The equation will be;

7x - 10 + 5 = 2x

So we have;

7x - 5 = 2x

HELLLP ill mark u the brainliest

Answers

Answer:

m = - 1/4

Step-by-step explanation:

Answer:

m=-1/4

Step-by-step explanation:

m=-1/4

How many terms are in 9c-4+6d

Answers

Answer:

3

Step-by-step explanation:

9c and -4 and 6d are all terms

The Local concert Hall has 48 concert scheduled the season each concert has the same amount of tickets available for sale there is a total of 4560 tickets how many tickets are available for each concert

Answers

Answer:

The number of tickets available for each concert is 95 tickets.

Step-by-step explanation:

the total available tickets for all the concert = 4560 tickets

number of concert = 48 concert

If all the concert have the same number of tickets, then the number of tickets for each concert is given as;

number of tickets for each concert = 4560 tickets / 48

the number of tickets for each concert = 95 tickets

Therefore, the number of tickets available for each concert is 95 tickets.

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