A rental car company charges $36.39 per day to rent a car and $0.09 for every mile
driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
• He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel
can afford to rent for while staying within his budget?

Answers

Answer 1

Answer:

12 days

Explanation:

480 >/= 36.39x + 20.25

Answer 2

The  inequality to determine x, the maximum number of days Miguel

can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Charges per day = $36.39

Charges per mile = $0.90

Total miles = 225

Total charges for 225 miles.

= 225 x 0.90

= $202.5

The maximum amount to spend = $480

The inequality for the maximum number of x days.

202.5 + 36.39x ≤ 480

Thus,

The  inequality to determine x, the maximum number of days is

202.5 + 36.39x ≤ 480

Learn more about inequalities here:

https://brainly.com/question/20383699

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Related Questions

Abraam needs bread to make his sandwich for lunch. He'd like to buy a loaf at the best value. At the store, there is a 1 lb. loaf for 80¢ and a 2 lb. loaf for $1.95. per oz. The 1 lb. loaf costs Choose... per oz. and the 2 lb. loaf costs Choose... Abraam should buy the Choose... loaf of bread. Unlimited A​

Answers

Answer:

loaf 1 costs 5 cents an oz and loaf 2 costs 6 cents a pound so aabrum should but loaf 1

Step-by-step explanation:

For his car, Sam spent $138.96 on speakers and $142.89 on new tires. In total, how
much did Sam spend on car parts?

Answers

Answer:

Same spent $281.85 or approximately $282

Without solving, identify whether this equation has a solution that is positive, negative, or zero: It is positive Solve the equation.

Answers

What equation?

Please provide one.

Answer:

Step-by-step explanation:

Maths- please help me with this Q

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

See below ↓

Step-by-step explanation:

Missing values (a)

[tex]\left[\begin{array}{ccc}-1&1\\?&?\end{array}\right][/tex]Substituting x = 1 and x = -1 respectively in the equation y = x² - 4x[tex]\left[\begin{array}{ccc}-1&1\\5&-3\end{array}\right][/tex]

Curve which matches the equation

On solving y = x² - 4x = x(x - 4) ⇒ x = 0, 4It intersects the x axis at 0 and 4The blue curve is the right one

The quotient of forty-three and a number m

Answers

Answer:

43/m

Step-by-step explanation:

Quotient refers to the resulting answer when a number is divided by a   divisorIn this case, our number is 43 and divisor is mTherefore, the quotient is :43/m

Answer:

43/m

Step-by-step explanation:

We can consider the word phrase 'the quotient of' to be a division property.

We can also contemplate that the phrase 'a number m' represents a variable, m, of an unknown value.

Together, we link these two to create the expression;

43 ÷ m which can also be known as 43/m.

can y’all please helpppp , i’ll give brainliest

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The y - coordinate of a point lying on that function is represented by f(x) for each value of x, so let's find the corresponding value of x, when f(x) = 0

In the given case, y - coordinate of two points is equal to zero. hence we will get two distinct values of x

that is :

[tex]\qquad \sf  \dashrightarrow \: x = - 2 \: \: and \: \: x = 4[/tex]

Which statement describes the behavior of the function f (x) = startfraction 2 x over 1 minus x squared endfraction?

Answers

The statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity

How to find the value of the function as x approaches infinity (+ve or -ve)?

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

For the considered case, the function is:

[tex]f(x) = \dfrac{2x}{1-x^2}[/tex]

The missing options are:

The graph approaches –2 as x approaches infinity.The graph approaches 0 as x approaches infinity.The graph approaches 1 as x approaches infinity.The graph approaches 2 as x approaches infinity.

So we need to find the limit of the function as x approaches infinity.

[tex]lim_{x\rightarrow \infty}f(x) = lim_{x\rightarrow \infty}\dfrac{2x}{1-x^2} = lim_{x\rightarrow \infty}\dfrac{2x/x^2}{1/x^2 - 1} = lim_{x\rightarrow \infty}\dfrac{2/x}{1/x^2 - 1}\\\\lim_{x\rightarrow \infty}f(x) = \dfrac{lim_{x\rightarrow \infty}(2/x^2)}{lim_{x\rightarrow \infty}(1/x^2 - 1)} = \dfrac{0}{0-1} = \dfrac{0}{-1} = 0[/tex]

Since the value of the function approaches 0 as x approaches infinity, so as its graph will do.

Thus, the statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity

Learn more about limits of a function here:

https://brainly.com/question/13146225

Ann deposited $4000into an account with 3.6% interest, compounded annually. Assuming that no withdrawals are made, how much will she have in the account after 9 years?

Answers

Answer:
In 9 years, you will have $5,499.18

Steps:
Note
A = Final Amount
P = Principal Amount
R = Interest Rate
N = # of times interest is compounded
T = Time in years

A = P(1 + r/n)^nt
A = ?
P = 4000
R = 0.036
N = 1
T = 9

A = 4000(1 + 0.036/1)^1*9
A = 5499.18

because it's a drag and drop, I added a screenshot below.

Answers

Answer:

The one on top is y^8 - 1/y^8   (option 1)

The one on the bottom is 1/y^8 + 1/y^2  (option 5)

A roller coaster starts out at a height of 100 feet. It
then drops 43 feet, loops around, drops another 29
feet and finally increases 10 feet to the exit platform.
a. Write an expression to represent this.
b. Then determine the altitude of the exit platform.

Answers

Step-by-step explanation:

a) x = 100 - 43 - 29 + 10

b) 100 - 43 = 57.

57 - 29 = 28.

28 + 10 = 38.

38 feet.

What are the steps to solving?

Answers

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{25^2-7^2}=a\implies \sqrt{576}=a\implies 24=a~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{adjacent}{24}}[/tex]

Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16

Answers

[tex]\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}[/tex]

one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.

since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.

Need assistance please


And please put in the full explanation on how you solved it please.

Answers

Answer:

The triangles are not similar

Step-by-step explanation:

We can say whether the triangle UVW is similar to triangle LMN or not by looking at the side lengths' ratio:

If they are similar then the side's must be proportional

VU/LM = VW/NM

35/25 = 22/16 cross multiply expressions

560 = 550 this is not an equation so we cannot say the triangles are similar.

3647 divided by 6
Show work out

Answers

Answer:

607.83333333333

......... hope it helps.........

Answer:

607.8

Step-by-step explanation:

just use your calculator 3647 divided by 6 and you get that answer

Harold got home from school at 3:50 P.M. and played video games for 1 hour and 5 minutes. Then, it took him 1 hour and 40 minutes to finish his homework. What time was it when Harold finished his homework?

Answers

Answer:

6:35.

Step-by-step explanation:

I start by adding the hours spent to the time leaving me with 5:50, I then add the 40 which brings it to 6:30 and the additional 5 minutes bringing the final answer to 6:35.

Answer:

6:35 PM

Step-by-step explanation:

When Harold got home, it was already 3:50 PM. Then he played games for an hour and five minutes. Adding on an hour, it made the time 4:50 PM, and then adding on the five minutes, made the time 4:55 PM. When he finished playing games, he took an hour and forty minutes to do his homework. 4:55 PM, adding on the hour makes it 5:55 PM, then adding the 40 minutes, makes it 6:45 PM.

- Educationist

Of the last 16 contestants on a game show, 12 qualified for the bonus round. Considering this data, how many of the next 12 contestants would you expect to qualify for the bonus round?

Answers

Answer:

9 contestants

Step-by-step explanation:

Out of the 16 contestants, 12 of them qualified for the bonus round.

This means, that 12/16, or 75% of the contestants qualified for the bonus round.

Out of the remaining 12 contestants, I would expect (75%)(12), or 9 contestants to qualify for the next bonus round.

Let me know if this helps!

Answer:The answer is 9

Step-by-step explanation:

12 of the 16 contestants on the game show qualified. That is 75% of the contestants. Applying this to the next 12, 12 contestants x 75% is 9 qualifying contestants.

What is 192 rounded to the nearest ten

Answers

Answer:

190

Step-by-step explanation:

192 is closer to 190 than it is to 200, so the answer is 190.

Hope that helps!

Answer:

190

Step-by-step explanation:

192 looking a the ones number (2) if the last number is 5 or higher round up if not go down. therefore 190

A town has a population of 141,300 and grows at a rate of 5% every year. Which equation represents the town’s population after 6 years?

Answers

Answer:

P=141,300(1+0.05)^6

Step-by-step explanation:

r = rate = 5/100 = 0.05

a = starting amount = 141,300

t = time = 6 years

% growth formula:

a(1+r)^t

141,300(1.05)^6

Answer:

P=141,300(1+0.05)^6

Step-by-step explanation:

r = rate = 5/100 = 0.05

a = starting amount = 141,300

t = time = 6 years

% growth formula:

a(1+r)^t

141,300(1.05)^6

Please help ASAP

Dave is 8 years younger than 4 times Julia's age. If Dave is 16, how old is Julia?
6 years
24 years
32 years
O
56 years

Answers

Step-by-step explanation:

Age of dave = y

Age of Julia = x

y = 4x - 8

if y = 16

then

4x - 8 = 16

4x = 16 + 8

4x = 24

x = 24/4

x = 6

Julia is 6 years old

Answer:

Julia is 6 years old.

Step-by-step explanation:

Dave + 8 = 4 Julia

16 + 8 = 4 Julia

24 = 4 Julia

6 = Julia

Julia is 6 years old

There is a bag a filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and
then it iS not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

Answer:

3/7

Step-by-step explanation:

Given

Red = 4, Blue = 3

Total number of marbles is

3 + 4 = 7

Probability of getting 2 of the same color is

P(2 same) = P(red, red) + P(blue, blue)

Probability of 2 reds is:

P(red, red) = 4/7*3/6 = 2/7

Probability of 2 blues is:

P(blue, blue) = 3/7*2/6 = 1/7

Required probability is

P(2 same) = 2/7 + 1/7 = 3/7

1 yards equals 3 feet in one mile equals 5280 feet how many yards are in 5 MI

Answers

Answer:

A conversion calculator gave me 8800

Which is a perfect square?
O 5
O 8
O 36
044

Answers

36 = 6x 6 so it is a perfect square. Good luck and Please give me brainly thanks!

Answer:

6×6=36

36 is the perfect square

ASAP HELP, PLEASE HELP NEED IT FOR COLLEGE SCHOLARSHIP PLEASE HELP ASAP i really need it for college scholarship help ive to submit it about 20 minutes pleae help

Answers

Answer:

I think it might be 30pi m or 94.2 m.

Step-by-step explanation: So you are finding the perimeter of the circle. You have a radius of 15, the perimeter for a circle is C=2pir. Now we can do  C=2pi(15). The answer is 30pi or C=2 x 3.14 x 15= 94.2 Hope this helps.

Select the correct answer.
Which number is an irrational number?

A.

B.

C.

D.

Answers

Answer:

its c i just got done doing the same one

Step-by-step explanation:

got it right on my real numbers test and got 100% if you need more help comment under my answer

Solve each pair of simulation equation. Multiply one equation by suitable numbers before adding/substracting to eliminate.
A) 2x+ 3y =11
x+ y = 4





B) 4x + 3y =-12
2x - y = 4​

Answers

Answer:

A) x = 4, y = 3.

B. x = 0, y = -4.

Step-by-step explanation:

A) 2x+ 3y =11 .........(a)

x+ y = 4.......(b)

Multiply equation (b) by 2:

2x + 2y = 8

Subtract this from equation (a):

y = 11-8 = 3.

Substitute y = 3 into equation (a):

2x + 3*1 = 11

2x = 11 - 3 = 8

x = 4.

B) 4x+ 3y = -12

   2x - y= 4

Multiply second equation by 2:

4x - 2y = 8

Subtract this from first equation:

3y - (-2y) = -12 - 8

5y = -20.

y = -4.

Substitute y = -4 into equation 1:

4x + 3*(-4) = -12

4x = -12 + 12 = 0

x = 0.

Please Help! In a proof to show two triangles are congruent if a given is PR ⟂ CK, which of the following statements most likely will be used within the proof?

Answers

Answer: PR and CK form right angles.

Step-by-step explanation:

By definition, perpendicular lines form right angles, and vice versa (in other words, lines that form right angles are perpendicular). Since we need to show PR is perpendicular to CK, we must first show that PR and CK form right angles.

HELP ASAP I GIVE BIG BRAIN
Give one example of a relationship that IS a function and explain how you know (explain it as if you are talking to someone who has never heard of a function before). In ur own words please...

Answers

A function is a relation where there is only one output for every input. In other words for every x value, there is only one y value.

Example : Multiply by 3 is a very simple function.

Input : 0 Output : 0

Input : 1 Output : 3

Input : 2 Output : 6

Input : 3 Output :9

And so on!

Hope this helps!

please answer . thanks in advance

Answers

Answer:

Step-by-step explanation:

If they are the same, the ratio of length to width when reduced to the lowest terms are

Large rectangle L/w = 36/24 = 3/2

Small triangle L/w = 24/18 = 4/3

Answer: The ratios are not the same. The rectangles are not similar.

Suppose you carry out a significance test of H0: μ = 7 versus Ha: μ ≠ 7 based on sample size n = 28 and obtain t = 1.45. Find the p-value for this test. What conclusion can you draw at the 5% significance level? Explain.

Answers

Considering the given test, the p-value is of 0.1586, and the null hypothesis is not rejected at the 5% significance level.

What is the relation between the p-value and the decision?

It depends it is less or greater than the critical value.

If it is less, the null hypothesis is rejected.If it is more, the null hypothesis is not rejected.

In this problem, we use a t-distribution calculator, with t = 1.45, 27 df and a two-tailed test, as we are testing if the mean is different of a value. Doing it, the p-value is of 0.1586.

Since it is greater than 0.05, the null hypothesis is not rejected at the 5% significance level.

More can be learned about p-values at https://brainly.com/question/26454209

The sum of two numbers is 24. Two times the first number minus the second number is 21

Answers

Step-by-step explanation:

x + y = 24

2x - y=21

I'm guessing the question was find both numbers.

3x = 35

x=15

3y = 27

y=9

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