A rental car company charges $29 per day to rent a car and $0.05 for every mile driven. Santiago wants to rent a car, knowing that: He plans to drive 400 miles. He has at most $100 to spend. What is the maximum number of days that Santiago can rent the car while staying within his budget?

Answers

Answer 1

Answer: He can only go 2 days

Step-by-step explanation:


Related Questions

In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit. Players are dealt a five card hand.
What is the probability that a player is dealt 4 hearts? =

Answers

The probability that a player dealt with four hearts = 0

What is probability?

Probability is defined as the prediction of the occurrence of an event in a stated set.

This can be expressed in proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

From the question given, the 6 sets include the following;

9, 10, jack, queen, king and ace.

There are no hearts given in the set of the event that occurred, therefore, the probability that a player dealt with four hearts = 0.

Learn more about probability here:

https://brainly.com/question/25870256

#SPJ1

Which expression is equivalent to the given expression?2x^2 – 14r + 24A. (2x – 12) (x - 2)B. 2(x – 3)(x – 4)C. 2(x - 5)(x - 2)D. 2(x – 8) (x + 3)

Answers

Step 1: We have the following expression:

[tex]2x^2\text{ }-\text{ 14x + 24}[/tex]

Step 2: Fon finding the equivalent expression, we have to factoring the polynomial, this way:

[tex]2(x^2\text{ - 7x + 12)}[/tex]

Step 3: Now we have to find two integer numbers that the result of adding them is - 7 and the result of multipliying them is 12

First number: -4

Second number: -3

Therefore, we have now:

2 (x - 4) (x - 3)

Step 4

An architect is designing a gazebo which base is a regular dodecagon. At what angle should he cut to frame the base?

Answers

Answer:

15

Explanation:

Note that a regular dodecagon is a 12 sided polygon with internal angles that are equal and sides of the same length.

So determine at what angle the architect should cut to frame the base, we have to divide 360 by 12 and divide the result by 2 as seen below;

[tex]\begin{gathered} \frac{360^{\circ}}{12}=30^{\circ}\text{ (degre}e\text{ per corner)} \\ \frac{30^{\circ}}{2}=15^{\circ\text{ }}(angle\text{ to be cut)} \end{gathered}[/tex]

The angle that the architect should cut to frame the base is 15 degrees

usBelow, the two-way table is given for aclass of students.FreshmenSophomoreJuniorsSeniorsTotalMale4622Female3463TotalIf a student is selected at random, find theprobability the student is a female given that it'sa junior. Round to the nearest whole percent.[?]%

Answers

[tex]\text{probability}=\frac{\text{ number of favorable cases}}{\text{ total number of }cases}[/tex]

Total number of students = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30

The probability that a student is female given that it is a junior is computed as follows:

[tex]\text{ P(}female|junior\text{)=}\frac{P(female\cap junior)}{P(junior)}[/tex]

The probability that a student is female and junior is:

[tex]P(female\cap junior)=\frac{6}{30}=\frac{1}{5}[/tex]

The probability that a student is a junior is:

[tex]P(junior)=\frac{2+6}{30}=\frac{8}{30}=\frac{4}{15}[/tex]

Finally, The probability that a student is female given that it is a junior is:

[tex]P(female|junior)=\frac{\frac{1}{5}}{\frac{4}{15}}=\frac{1}{5}\cdot\frac{15}{4}=\frac{3}{4}=0.75\text{ or 75\%}[/tex]

Hailey read 48 pages of a book this week. Blake read half as many as Hailey. How many pages did they read combined?A)24B)60C)72D)96

Answers

Step 1

From the question, Hailey reads 48 pages of a book

Blake reads half as many as Hailey.

Hence Blake reads;

[tex]Blake=\frac{48}{2}=24Pages[/tex]

The answer will be together they read;

[tex]48+24=72\text{ pages}[/tex]

Answer; Option C

I am stuck on what to do after graphing points A, B and C

Answers

Remember that the coordinates are written in the form (x,y). Plot the points with the given coordinates: A(1,6), B(1,1) and C(5,1):

Draw a right triangle using the same measures for the legs in order to construct ΔDEF, as described below:

[tex]\begin{gathered} DE=5 \\ EF=4 \end{gathered}[/tex]

The cafeteria prepares 80 meals a day for students if 3/8 of the meals are vegetarian, how many meals are are not vegetarian?

Answers

Meal prepared a day = 80 meals

Vegetarian meals will be

[tex]\text{vegetarian}=\frac{3}{8}\times80=\frac{240}{8}=30[/tex]

Non vegetarian meals = 80 - 30 = 50 meals

4x + 6 <2x>-1 x<-1x<2x>2

Answers

The given equation is

[tex]4x+6<2[/tex]

First, we subtract 6 on each side.

[tex]\begin{gathered} 4x+6-6<2-6 \\ 4x<-4 \end{gathered}[/tex]

Then, we divide the inequality by 4.

[tex]\begin{gathered} \frac{4x}{4}<-\frac{4}{4} \\ x<-1 \end{gathered}[/tex]Therefore, the right answer is the second choice. x < -1

Using standard normal table if the area is 0.125 what would the probability be ?

Answers

The area under a standard normal distribution, which we get on a standard normal table, is the same as the probability on that area.

Thus if the area is 0.125, the probability is 0.125, that is, 12.5%.

joeita sees on her activity tracker that it took her 58 minutes to run 6.25 hours miles assuming she runs at the same pace how far can she run in 40 minutes? round to the nearest hundredth how far can she run in m minutes

Answers

In a case whereby joeita sees on her activity tracker that it took her 58 minutes to run 6.25 hours miles  the distance she can she run in 40 minutes is  4.31 miles.

How can the number of miles be calculated?

This can be solved by the cross multiplication using the rate that given in the question.

We were told that joeita took  58 minutes  of her time to run 6.25 hours miles , then to know the distance she can cover within 40 minutes is

58 minutes  = 6.25 miles

40 minutes = X miles

Let X be the number of miles she want to cover in 40 minutes

we ca cross multiply the expression above as :

( 40 minutes *  6.25 miles ) = (58 minutes  *  X miles)

the X = 4.31 miles

Read more about distance at:

https://brainly.com/question/4931057

#SPJ1

A simple random sample of 5 months of sales data provided the following information:


Month: 1 2 3 4 5

Units Sold: 97 110 89 97 92

a. Develop a point estimate of the population mean number of units sold per month.


b. Develop a point estimate of the population standard deviation (to decimals).

Answers

Using it's concepts, the point estimates for the population are given as follows:

a) Mean: 97 units sold per month.

b) Standard deviation: 16.06 units sold per month.

What are the mean and the standard deviation of a data-set?

The mean of a data-set is given by the sum of all values in the data-set, divided by the cardinality of the data-set, which is the number of observations in the data-set.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the cardinality(number of observations) of the data-set.

In the context of this problem, the 5 observations are given as follows:

97, 110, 89, 97, 92.

Hence the mean is given by:

M = (97 + 110 + 89 + 97 + 92)/5 = 97.

Considering the mean of 97 found above, the standard deviation is given as follows:

[tex]S(X) = \sqrt{\frac{(97 - 97)^2 + (110 - 97)^2 + (89 - 97)^2 + (97 - 97)^2 + (92 - 97)^2}{5}} = 16.06[/tex]

More can be learned about the mean and the standard deviation of a data-set at https://brainly.com/question/4514629

#SPJ1

vector W has its initial point at (2,5) and its terminal point at (-4,-2)

Answers

For the given points, vector in component form equals -6i^ - 7j^ and its magnitude is 9.22

What is meant by vector?

A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

Examples of vectors include displacement, velocity, acceleration, force, and others that show both the direction and the size of a quantity. Vector: The displacement is -4 feet, while the velocity is -40 miles per hour. Negative displacement and velocity indicate that the object is travelling counterclockwise.

Vector in component form -

(-4 -2)i^ + (-2-5)j^

= -6i^ - 7j^

Magnitude of the vector equals =

√(-6)² + (-7)² = √85 = 9.22

To learn more about vectors from given link

https://brainly.com/question/15519257

#SPJ10

Complete Question -

Vector w has its initial point at (2, 5) and its terminal point at (-4, -2). Write the vector in component form and find its magnitude.

Write the given equation of a line that passes through two given points (-2,-1) and (0,-5)

Answers

Answer:

y2-y1 x2-x1

Step-by-step explanation:

-5-(-1)

--------

0-(-2)

-4

---

2

-2

----

1

Use point slope form to write the lines with the given slope and point in slope intercept form.m= -1(-5,-4)

Answers

The slope point form is

[tex]y-y1=m(x-x1)[/tex]

m is the slope

x1, y1 are the coordinates of a point on the line

The slope of the line is -1

m = -1

point (-5, -4) lies on the line

x1 = -5 and y1 = -4

Let us substitute them in the form above

[tex]y-(-4)=-1(x-\lbrack-5\rbrack)[/tex]

Remember (-)(-) = (+)

[tex]y+4=-1(x+5)[/tex]

The equation of the line in the slope-point form is y + 4 = -1(x + 5)

help meeeeeee pleaseee !!!!

Answers

1)  The Linear equation that models the average price of a new home is;

y = -800x + 294000.

2) The prediction of the average price of a new hom in the year 2014 is; $256000

How to solve the equation in slope intercept form?

We are told that the average price in the year 2004 was $294000

We are told that y is the average price in a home in the year x, where x = 0 represents the year 2004. Thus, this means that the y-intercept is $294000.

Since the line must pass through the points (0, 294000) and (7, 288400), it means that;

Slope = (288400 - 294000)/(7 - 0)

Slope = -5600/7

Slope = -800

Now, we know that the general formula for equation in slope intercept form is; y = mx + c

where; m is slope and c is y-intercept.

Thus;

1) Linear equation is; y = -800x + 294000.

2) For the average price of a new home in the year 2014, this means that x = 2014 - 2004 = 10 years

Thus;

y = -800(10) + 294000

y = $256000

Read more about Slope intercept form at; https://brainly.com/question/1884491

#SPJ1

The following two right triangles are similar.If side DE = 45, side HI = 36, and side DF = 30, what is the length of side HJ?A)21B)24C)20D)19

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

The following two right triangles are similar.If side DE = 45, side HI = 36, and side DF = 30, what is the length of side HJ?

Step 2:

The details of the solution are as follows:

Since side DE = 45, side HI = 36, and side DF = 30.

Then, the length of side HJ =

[tex]\begin{gathered} Using\text{ Similar triangles, we have that:} \\ \frac{DF}{DE}=\frac{HJ}{HI} \\ Then,\text{ we have that:} \\ \frac{30}{45}=\frac{HJ}{36} \\ cross-multiply,\text{ we have that:} \\ 30\text{ x 36 = 45 x HJ} \\ Divide\text{ both sides by 45, we have that:} \end{gathered}[/tex][tex]HJ=\frac{30\text{ x 36}}{45}[/tex]

[tex]HJ\text{ = }\frac{1080}{45}[/tex][tex]HJ\text{ = 24 \lparen OPTION B \rparen}[/tex]

Complete the instructions to move from one point to another along the line
y = 2/3x + 1

___ ___ unit(s), then right 9 units.

Answers

Answer:

Step-by-step explanation:

the equation is written in slope intercept form

y= mx + b with m= slope and b= y-intercept

so in your equation

y=2/3x + 1,

the slope is 2/3 and the y-intercept is (0,1)

slope is also known as rise/run

so to move from one point to another, starting at (0,1) (since you know that point is on the line) you would move up 2 units and to the left 3 units.

hope this helped!

ERROR ANALYSIS In Exercise 30, describe and correct the error in finding the inverse of the functionf(x)=1/7x^2, x>=0y=1/7x^2x=1/7y^27x=y^2+-√7x=y

Answers

Given the function

[tex]\begin{gathered} f(x)=\frac{1}{7}x^2 \\ x\ge0 \end{gathered}[/tex]

To find the inverse, we must recall that the domain of the function becomes the range of the inverse function and vice-versa.

We are already given the domain of f, all the real numbers equal or greater than zero.

The domain of the function is exactly the same because x squared is always positive or zero, thus the domain and range of the inverse should be x≥0.

Once we find the inverse function, we'll use this concept.

Step 1: Substitute f(x) for y:

[tex]y=\frac{1}{7}x^2[/tex]

Step 2: Swap the variables:

[tex]x=\frac{1}{7}y^2[/tex]

Step 3: Solve for y:

[tex]y=\pm\sqrt[]{7x}[/tex]

But as said above, the range of this function cannot include the negative numbers, thus the inverse function is:

[tex]f^{-1}(x)=\sqrt[]{7x}[/tex]

A printer takes 5 seconds to print 3 pages. How many pages can it print in 125 seconds? Enter the answer in the box.

Answers

Answer:

75?

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

3 divided by 5

0.6x125

Dm³ + n = rwhat does D equal?

Answers

[tex]Dm^3+n=r[/tex][tex]Dm^3=r-n[/tex][tex]D^{}=\frac{r-n}{m^3}[/tex]

Sophie records the total number of cans of cat food she uses after different numbers of days. She wants to know if the number of cans of cat food she uses is proportional to the number of days. After 3 days – 6 cans After 4 days - 8 cans After 9 days – 18 cans 1. Complete the table # of Days (x) 3 4 (fill in the questions marks) # of Cans (y) 6 8 18 # of Days (x) # of Cans (y) = 2 3 2 2 8-2 4 니 2. Is the number of cans of cat food used proportional to the number of days? Explain. 3. How many cans of cat food will Sophie use after 12 days?

Answers

The number of cans is proportional to the number of days, because each day it uses 2 c

y= 3x - 5 y= -6x + 4

Answers

The given system of equation:

y = 3x - 5 (1)

y = -6x + 4 (2)

We can solve the system of equation by using elimination method :

Elimination Method: In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

Subtract the equation (1) & (2)

[tex]\begin{gathered} y-y=3x-5-(-6x+4) \\ 0=3x-5+6x-4 \\ 0=9x-9 \\ 9x=9 \\ x=\frac{9}{9} \\ x=1 \end{gathered}[/tex]

So, we get x = 1

Substitute the value of x in the equation (1)

[tex]\begin{gathered} y=3x-5 \\ y=3(1)-5 \\ y=3-5 \\ y=(-2) \end{gathered}[/tex]

y = (-2)

So, the solution of the system of equations are : (x,y) = (1,-2)

Answer: (x,y) = (1,-2)

Write and solve an equation. Do not forget to label your variable or your units

Answers

Mr. Thompson weighs 260 pounds and he loses 4 pounds each month.

The equation will be :

w = 260 - 4m

where w is the weight after m months

when w = 220 pounds, the number of months will be :

220 = 260 - 4m

4m = 260 - 220

4m = 40

m = 40/4

m = 10

The answer is 10 months

What is the value of x?

4x=5x-12

Enter your answer in the box.

X=

Answers

Answer:

12

Step-by-step explanation:

First, get all of the x values to one side of the equation so that we can solve for x. One way to do this is subtract 5x from both sides.

Now we have this:

4x - 5x = -12.

Simplify:

-x = -12.

We need positive x, so divide both sides by -1.

x = 12.

Hope this helps! :)

HELPDetermine the equation of the line shown in the graph:y = −1y = 0x = −1x = 0

Answers

in this problem we have a vertical line

The equation of a vertical line is equal to the x-coordinate of the point that passes through it

so

in this case

the equation of the line is

x=-1

A wheel on Ivan's bicycle is 1.1 m in diameter. Ivan races the bicycle for 165 m. How many times does the wheel turn as the bicycle travels this distance?Use the value 3.14 forn. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answers

The radius(r) of the wheel is;

[tex]r=\frac{diameter}{2}=\frac{1.1}{2}=0.55m[/tex]

The perimeter(P) of the wheel is given by the formula below:

[tex]P=2\pi r=2\times3.14\times0.55=3.454m[/tex]

The distance travelled by Ivan is 165m.

So, the number(n) of times the wheel is:

[tex]n=\frac{165}{3.454}=\text{ 47.77}\approx\text{ 47.8}[/tex]

Hence, the correct answer is 47.8

Gerard compares the offers at two different banks to decide where he should open a savings account. A. Draw a representation to show how much would be in the first savings account if Gerard's initial deposit were d dollars.

Answers

Explanations:

Given the following parameters

An initial deposit of Gerard is "d" dollars

For the savings with 5% interest, the interest on "d" dollars will be expressed as;

[tex]\begin{gathered} \text{Interest = 5\% of d} \\ \text{Interest = 0.05d} \end{gathered}[/tex]

Get the total savings plus interest in the first account

[tex]\begin{gathered} \text{Balance}=\text{Initial deposit + Interest} \\ \text{Balance=d+0.05d} \\ \text{Balance=1.05d} \end{gathered}[/tex]

Hence the $1.05d will be in the first savings account if Gerard's initial deposit were d dollars

For the other account:

Initial deposit = "d" dollars

Interest = $100

Since the interest will be added to the first deposit, hence;

[tex]\text{Balance=(d+100)dollars}[/tex]

In Tabulated form:

In the lab, Jane has two solutions that contain alcohol and is mixing them with each other. She uses 400 milliliters less of Solution A than Solution B. Solution A is 12% alcohol and Solution B is 20% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 176 milliliters of pure alcohol?

Answers

Using the concept of volume, 700 milliliters of Solution B was used.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

When dealing with unknowns, the first step is to represent the unknowns using variables, draw up equations based on the available data, and then solve those equations to account for the unknowns.

Volumes of solutions A and B are here which is unknown.

Put these factors in place for us

Let x = the amount of solution A that was mixed in milliliters.

Let y= the amount of solution B that was mixed in milliliters.

The amount of volume utilized for A is 400 ml less than the amount used

for B.

This can be expressed mathematically as y - x = 400.

Or,

- x + y = 400 [1]

The ratios of alcohol in A and B are provided to us.

A contains 12% alcohol, hence its real alcohol content is 12% of x ml.

= 0.12x (12% = 12/100 = 0.12)

Similar to A, B has an alcohol content of 0.20x.

If x of A and y of B are combined, the total alcohol by volume is 0.12x + 0.20y.

and it is said that this amount is 176 ml.

Our second equation is therefore set up as 0.12x + 0.20y = 176 [2].

We create an equation containing only the other term by using both equations and removing either the x or y terms.

We should remove the x term from both equations to create a single equation that just contains the y term because the question only asks us to compute the volume of Solution B that was used.

Review the equations now:

- x + y = 400 [1]

0.12x + 0.20y = 176 [2]

x's coefficients should all be the same:

Increase [1] by 0.12

=> -0.12x + 0.12y =

= 0.12 x 400

=> 0.12x + 0.12y = 48 [3]

By adding [2] and [3], the x word is removed.

0.12x + 0.20y = 176+( -0.12x) + 0.12y = 48

0x + 0.32 y = 224

=> 0,32y = 224

Subtract 0.32 from both sides to get[tex]\frac{0.32y}{0.32}[/tex] = [tex]\frac{224}{0.32}[/tex]

==> y = 700

Therefore, 700 cc of Solution B was utilized.

To learn more about volume visit :

brainly.com/question/13338592

#SPJ10

In baseball, Ken gets on base 60% of the time he bats. If Ken bats 5 times, how many times did he get on base?

Answers

Assuming Ken gets the same percentage as usuall in these 5 times, we can calculated how many times he did get on base by calculating 60% of 5.

To do this we transform 60% into decimal my dropping the percentage sign and dividing it by 100 and then we multiply the decimal by 5:

[tex]\frac{60}{100}\cdot5=0.6\cdot5=3[/tex]

So, Ken got on base 3 times.

If ken gets on base 60%, and he bats 5 times then he got on base 3 times

A store sells cat food in 4-pound bags. The cat food cost 2 dollars per pound.

Answers

Here is the completed table:

Number of bags purchased           Total weight                  Total Cost

1                                                                 4                                  8

2                                                                8                                  16

3                                                                 12                               24

4                                                                  16                              32

5                                                                   20                             40

What is the total weight and the total cost?

One bag of cat food weighs 4 pounds. This means that as the bag increases by 1, the weight of the bag increases by 4.

Weight of 1 bag of cat food = 4

Weight of 2 bags of cat food = 4 x 2 = 8

Weight of 3 bags of cat food = 4 x 3 = 12

Weight of 4 bags of cat food = 4 x 4 = 16

Weight of 5 bags of cat food = 4 x 5 = 20

The cost of cat food is $2 per pound.

Cost of a bag of cat food = number of bags bought x weight of one bag x cost per pound

Cost of 1 bag of cat food = 1 x 4 x 2 = 8

Cost of 2 bags of cat food = 2 x 4 x 2  = 16

Cost of 3 bags of cat food = 3 x 4 x 2  = 24

Cost of 4 bags of cat food = 4 x 4 x 2  = 32

Cost of 5 bags of cat food = 5 x 4 x 2  = 40

To learn more about cost, please check: https://brainly.com/question/25717996

#SPJ1

Other Questions
What is the density of a sample if its mass is 44.3g and its volume is 22.1cm? 7th grade students were asked to choose theirfavorite color. The table shows the fraction ofstudents that choose each color. What DECIMALshows the difference between the most and leastfavorite colors?ColorFractionRed Yellow Blue Green5/181/64/91/9 What is the US GDP for the first quarter and second quarter of 2020? What is the personal consumption expenditures for the first quarter and second quarter of 2020? What is the CO2 that is produced from cellular respiration used for? (Which process uses it?) How did immigration to American change in the latter half of the 19th century, and what was the response to that change? Please help which best explains an effect of the Diaspora on Jewish people? When doing a chin-up, a student lifts her body with a force of 400N and a distance of 0.25 meters in 2 seconds. What is the power delivered by the students biceps? in a five paragraph literary essay response to executive order in 9066 and mericans Which element does the "X" inthe isotope notationrepresent?14X6A. CB. OC. SiD. N Where art thou, Muse, that thou forget'st so longTo speak of that which gives thee all thy might?Spend'st thou thy fury on some worthless song,Darkening thy power to lend base subjects light?Return, forgetful Muse, and straight redeem5In gentle numbers time so idly spent;Sing to the ear that doth thy lays esteemAnd gives thy pen both skill and argument.Rise, resty Muse, my love's sweet face survey,If Time have any wrinkle graven there;10If any, be a satire to decay,And make Time's spoils despised every where.Give my love fame faster than Time wastes life;So thou prevent'st his scythe and crooked knife.What is the best paraphrase of line 9?Wake up, dear sleepyhead!Fame is fleeting, and so is life.Get up and look at his lovely face.Make him famous before he gets old. Which of these is a measure of the average kinetic energy of the moleculesof a material?O Option 1O temperatureO thermal energyO bonding energy Please answer this question with an explanation. Thank you. :) how was life for Philip Diehl the man who invented ceiling fans solve x=y+4, where x=3 a balloon has a volume of 1.20 L at 24.0 C. The balloon is heated to 48.0 C. Calculate the new volume of the balloon. Both bonds payable and notes payable are obligations that usually arise from borrowing money. This statement is?. please hurry. I need help on all three questions. please show working clearly. A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $1,253.07, and the tax rate in the area is 7.1%, what was the pre-tax subtotal? describe five occupations you want to do, and how you prepare for your dream job. And list the average salary, and then, combine your family cost per month, make a reasonable saving plan. True or False: indigestion, the process of chewing is preformed by your teeth.