A rental car company charges $80 per day to rent a car and $0.10 for every mile driven. Alyssa wants to rent a car, knowing that: She plans to drive 150 miles. She has at most $300 to spend. Which inequality can be used to determine xx, the maximum number of days Alyssa can afford to rent for while staying within her budget?

Answers

Answer 1

Answer:

400

Step-by-step explanation:

Car A costs 80d + 0.25m, where d is days and m is miles. Car B costs 100d + 0.10m. If you plug in 3 for d and make the equations equal, you get 240 + 0.25m = 300 + 0.10m. Combining like terms gives you 0.15m = 60, and dividing gives you m = 400.

Answer 2

Using the inequality concept, the expression which models the maximum number of days in which she can rent the car is 80x + 15 ≤ 300

Maximum amount to spend = 300Fixed charge per day $80Charge per mile = $0.10

The inequality which represents the number of days Can be expressed thus :

(Charge per day × number of days) + (charge per mile × number of miles) ≤ 300

80x + 0.10 × 150 ≤ 300

80x + 15 ≤ 300

Hence, the required inequality expression is 80x + 15 ≤ 300

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Related Questions

Find the value of k so that the point (1,2) lies on the locus y²-2x-ky+5=0.​

Answers

Answer: k = 3.5

Step-by-step explanation:
1. To find k, use the point (1,2) by inputting it into the equation like (2)^2-2(1) - k(2) + 5 = 0.

2. Simplify the equation by multiplying or squaring the variables with their coefficients. This should give you 4 - 2 - 2k + 5 = 0.

3. Combine like terms 4, -2, and 5. This should give you 7 - 2k = 0.

4. Subtract 7 on both sides to get the k and its coefficient alone. Now the equation becomes -2k = -7.

5. Divide -2 on both sides to get k by itself. This would simplify the equation to k = 3.5.


y=-5 8x+5y=-17 substitution

Answers

[tex]8x+5y=-17[/tex] when y is -5

Substitute for y with given value:

[tex]8x+5(-5)=-17[/tex]

[tex]8x-25=-17[/tex]

Add 25 to both sides:

[tex]8x-25+25=-17+25[/tex]

[tex]8x=8[/tex]

Divide both sides by 8:

[tex]\dfrac{8x}{8} =\dfrac{8}{8}[/tex]

[tex]\fbox{x = 1}[/tex]

Y = -17.5x + 2.7x + 14.1 - 11.9x

Answers

Answer:

y=-26.7x+14.1

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

y=−26.7x+14.1

Step-by-step explanation:

y=−17.5x+2.7x+14.1−11.9x

y=−26.7x+14.1

Solve for x:

Step 1: Flip the equation.

−26.7x+14.1=y

Step 2: Add -14.1 to both sides.

−26.7x+14.1+−14.1=y+−14.1

−26.7x=y−14.1

Step 3: Divide both sides by -26.7.

x=−0.037453y+0.52809

Solve for y:

y=−26.7x+14.1

A rectangular con lot of land is 0.4 kilometer long and 0.07 kilometer wide. What is its area in square kilometers?

Answers

Answer: 0.28 Km^2

Step-by-step explanation:

A= L x W

=0.4x0.7

=0.28

HELP
i been trying for a while and cant get it

Answers

The ordered pair for the function y = -(x/3) + 2 is (-3, 3), (0, 2), (3, 2) and (6, 0)

What is an equation?

An equation is used to show the relationship between numbers and variables.

The standard form of a linear equation graph is:

y = mx + b

Where m is the slope of the line and b is the y intercept.

Given the function:

y = -(x/3) + 2

At x = -3:

y = -((-3)/3) + 2 = 3

At x = 0:

y = -(0/3) + 2 = 2

At x = 3:

y = -(3/3) + 2 = 1

At x = 6:

y = -(6/3) + 2 = 0

The value of y when x = -3 is 3

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i need help with B) C) and D)
Please Help me!!!

Answers

Answer:

b is the right answer

Step-by-step explanation:

ASAP
HELP JUST THE ANSWER

Answers

Answer:

40:15 simplified is, (i divided by 5) 8:3

Ratio is when you have a number to a number just put them together but put a colon between them to make it a ratio, thats all ;D. It's basically a fraction.

But you can also simplify ratios just like fractions because they are fractions!

Answer:

D. 8:3

Step-by-step explanation:

40/15

Simplify:

8/3

Need this for a homework assignment, have been stuck for an hour and a half.

Answers

ANSWER: ###### ####

An object is placed at a certain distance on the principal axis of a concave mirror. The image is formed at a distance of 30cm from the mirror. Find the object distance if radius of curvature R=15cm.​

Answers

Answer:

Object distance, u = -6 cm

Step-by-step explanation:

Given that,

The radius of curvature, R = 15 cm

The radius of the mirror, f = -7.5 cm

We need to find the object's distance from the mirror. The mirror's formula is used to find the object distance such that,

[tex]\dfrac{1}{f}=\dfrac{1}{u}+\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{f}-\dfrac{1}{v}\\\\\dfrac{1}{u}=\dfrac{1}{(-7.5)}-\dfrac{1}{30}\\\\u=-6\ cm[/tex]

So, the object distance is 6 cm.

Match each object which the characteristics.

Answers

Answer:

Ray goes with horizon

Line goes with a broom handle

Parallel lines goes with rows of seats on a plane

Line segment goes with a sun ray

Point goes with cookie crumb

Perpendicular lines goes with the letter T

Step-by-step explanation:

Not sure how to explain it

help!!
[tex]\sqrt{400-400}[/tex]
Thanks!!
have a nice day!

Answers

[tex] \huge \boxed{\mathfrak{ \: hi \: \: james}}[/tex]

[tex] \huge \mathcal{Answer}࿐[/tex]

[tex]\longmapsto \sqrt{400 - 400} [/tex]

[tex]\longmapsto\sqrt{0} [/tex]

[tex]\longmapsto0[/tex]

Answer:

[tex]\sqrt{400-400} =0[/tex]

Step-by-step explanation:

hope it helps...

thanks...

have a great day!!

find the slope. please help

Answers

i believe it would be 5/2

Use the picture of the circle below to find the area of the circle. Use 3.14 for π and show your work.

Answers

Answer:

254.34 in^2

Step-by-step explanation:

To calculate the Area of Circle is πr^2

r is the radius of the circle

In this problem, the diameter is given which is 18 in. To find the radius you have to divide the diameter by 2.

18/2 = 9 in is our radius

Area of Circle = π9^2

                       = 3.14*81

                       = 254.34 in^2                    

 

there is nothing that tells me what to do. or what to solve for​

Answers

Step-by-step explanation:

I think it's wrongly labelled

but lemme adjust it and get you back on track

this is a quadrilateral which angles sum upto 360°.

this hold when <D=84°,<N=74° <M=82 and <L=3x+20

84+74+82+3x+20=360

3x+260=360

3x=100

x=100/3

x=33. 3°

ANSWER SOON PLS Which of these sets of ordered pairs would define a line with a negative slope? A. (2, 3) and (7, 6) B. (2, 3) and (-4, -1) C. (5, 5) and (0, 1) D. (3, 6) and (5, 1)

Answers

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

If someone could pls help me with this that would be great!!

Answers

What is the bottom number of the shed

A new surgery is successful 70% of the time , if the results of 8 such surgeries are randomly sampled, what is the probability that more than 5 of them are successful?

Answers

Answer:

P (x>5) = 0.5324014=0.523

Step-by-step explanation:

Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3

Number of surgeries= n= 8

Applying the binomial distribution

( p+q) ^n= nC x p^x . q^n-x

More than 5 means  6,7, and 8

( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3

                =56* 0.16807*0.027

                       = 0.254121

( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2

                =  28* 0.1177* 0.09

                    = 0.296604

( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1

                =  8* 0.0824* 0.3

                  = 0.19776

( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0

                =  1* 0.05765* 1

                  =0.05765

Adding the above all probabilities  gives

P (x>5) = P (x=6) + P(x=7) + P(x=8)

               = 0.296604+0.19776+0.05765

                   = 0.5324014

A designer is planning a trail mix box that is shaped like a rectangular prism. The front of the box must have the width and height shown. Volume of the box must be 162 cubic inches. What must be the depth, d, of the box?

Answers

Answer:

The box must be 2.4 in deep.

Step-by-step explanation:

Front dimensions are 9 in by 7.5 in.  Find the area of the front:  it is

A = (9 in)(7.5 in) = 67.5 in^2.  One way to complete this work would be to divide the given volume by this area, 67.5 in^2.  

A slightly different approach follows:

The volume must be 162 in^2.  Given V = (width)(height)(depth),

                                   V

(depth) must be -----------------------

                            (width)(height)

In this particular case,

                                162 in^3

(depth) must be ----------------------- = 2.4 in

                              (7.5 in)(9 in)

The box must be 2.4 in deep.

Which undefined term can contain parallel lines?
line
plane
point
ray

Answers

last option, ray contains parallel lines

HELP!!! I WILL GIVE YOU 24 POINTS!!!THINK SMaRTER| Sense or Nonsense? . Emilio and Julia used different ways to find ‡ + 4. Emilio used a rodel to find the quotient. Julia used a related multiplication equation to find the quotient. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.

Answers

Answer:

24

Step-by-step explanation:

24 it's could be ok. I think 24 is good.

Answer: I think it's nonsense??? Not quite sure...

Step-by-step explanation:

What does * mean after a word?

Answers

that usually means that word has a definition that will be given at the bottom of the page or in the glossary depending on what type of book or excerpt of text you have.

hope this helps!

Which properties are best used prove a quadrilateral is a square?

a) Adjacent sides are perpendicular.

b) Diagonals are congruent.

c) Diagnonals are congruent and perpendicular.

d) Opposite sides are parallel and congruent.

Answers

Answer:

a, b, c, & d

Step-by-step explanation:

e:f =2:5 f:g=3:4 work out e:g in simpliest form

Answers

After a work out, the simplest form of e:g is 3:10.

What is a ratio?

Ratio is an expression which shows the relationship between two numbers or variables. It can generally be expressed in two forms, viz; a:b or a/ b.

To work out the simplest form of e:g as required in the question,

e/ f = 2/ 5

2f = 5e ........... 1

f/g = 3/ 4

3g = 4f ........... 2

From equation 1,

f = 5e/2

substitute the value of f in equation 2

3g = 4(5e/2)

3g = 10e

Therefore, e:g is given as;

3/ 10 = e/ g

3:10 = e: g

Thus in its simplest form, e:g = 3:10

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The probability of winning a coupon at the grocery store checkout is 2/25. What is the probability of not winning?

Answers

23/25 is the answer, I think all ya gotta do is subtract bud lol

The probability of not winning the coupon at the grocery store given the probability of winning the coupon is 23/25.

What is the probability?

Probability determines the likelihood of the occurence of an event. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of not winning the coupon = 1 - probability of winning

1 - 2/25 = 23/25.

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Solve the inequality. Graph the solution. -3y<-14

Answers

Answer:

y > 14/3

Step-by-step explanation:

-3y<-14

Divided both sides by -3. Because divided by a negative number, the < will switch to the >

y > 14/3

A soft drink company is conducting research to select a new design for their can. A sample of 9 participants has been selected. Instead of a typical taste test with two different sodas, they give each participant the same soda twice. One drink is served in a predominantly red can, the other in a predominantly blue can. The order the two cans are used is chosen randomly. Participants are asked to rate each drink on a scale of 1 to 10. The mean difference between the rating of the red and blue can for the 9 participants is -0.56 with standard deviation 2.19. Researchers would like to determine whether or not the mean difference in ratings between the red and blue can is 0.
The p-value for this hypothesis test is 0.4676. Select the correct decision below.
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. Reject the alternative hypothesis.
d. Accept the null hypothesis.

Answers

Answer:

Option B

Step-by-step explanation:

The p value is greater than 0.05.

Hence there are not enough evidences to reject the null hypothesis.

Basically no effect is observed when p>0.05

Hence, the test results are  statistically significant

Option B is correct

Solve the following system of equations.
5x - 4y= -16
2x+9y=-17

Answers

Answer:

Im kind of confused if I rewrite or find the y and x intercept to this equation but I hope this helps.

if you can please give me brainliest.

Maisy and Oliver converted some pounds (£) into euros (€) at two different shops. Maisy converted £40 into €47.20 at shop A. Oliver converted £83 into €96.28 at shop B. Byron converted some pounds at one of these shops and received €68.44. What is the smallest amount that he could have converted?​

Answers

The smallest amount that Byron could have converted is £73.44.

What is exchange rate?

An exchange rate is the rate at which one currency can be exchanged for another currency. It is the value of one country's currency against another country's currency. Exchange rates fluctuate based on supply and demand for a particular currency, as well as economic and political factors.

Exchange rates are typically quoted as the value of one currency in terms of another currency. For example, an exchange rate of 1.2 US dollars (USD) to 1 Euro (EUR) means that 1 EUR can be exchanged for 1.2 USD.

There are two types of exchange rates, Floating and Fixed exchange rate.

According to question :-

To determine the smallest amount that Byron could have converted, we can use the exchange rate from shop A, which is €47.20 for £40.

If we divide the amount of euros he received (€68.44) by the exchange rate (€47.20 for £40), we get:

€68.44 ÷ €47.20/£40 = £73.44

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Plz, help me with this question!

Answers

Answer:

Rectangle

Step-by-step explanation:

If the base is a square that means the cross-section can also be a square.

25 less than the sum of a number and 5 results in 15 what is the number

Answers

The number is 35.

What is an equation?

An equation is a statement of equality between two expressions. It uses the equal sign (=) to show that the expressions on either side of the sign have the same value.

For example 2x+3=5y-7z, and x+y=5 are examples of equations.

In solving your problem,

25 less than the sum of a number and 5 results in 15, can be written as an equation like this:

let x be the number we want to find.

x + 5 =15+25 (25 less than the sum of x+5)

x + 5 = 40

then

x=40-5

x=35

So the number is 35.

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