Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.

Answers

Answer 1

Answer:

[tex]200 + 0.07m \leq 230[/tex]

A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.

Step-by-step explanation:

Given that:

Rent to be paid for the car in the weekend = $200

Charges to be paid per mile = $0.07

Total money available  with Divya = $230

To find:

The inequality as per her limitations and solution to the problem.

Solution:

Let the number of miles for which Divya can drive = [tex]m[/tex] miles

Charges for one mile = $0.07

Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]

Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges

Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]

These are charges must be lesser than equal to the amount of money available with Divya.

Therefore, we can write:

[tex]200 + 0.07m \leq 230[/tex]

Subtracting 200 from both the sides:

[tex]0.07m \leq 30[/tex]

Dividing both sides with 0.07:

[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]

Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.


Related Questions

The difference of y and 8.1 is 20.
Flnd the value of y.

Answers

Answer:

y = 28.1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Set Up Equation

"Difference" is subtraction

"y" is y

"8.1" is 8.1

"is" is equal

"20" is 20

y - 8.1 = 20

Step 2: Solve for y

Add 8.1 to both sides:                    y = 28.1

What does bc equal ?

Answers

Answer:

180

Step-by-step explanation:

help me plz (geometry)

Answers

i think it’s A ? i’m not completely sure tho

Answer:

I’m pretty sure it’s A

b. Betelgeuse
d. Sirius
2. Which star has a surface temperature most similar to the surface temperature of Alpha Centauri?
a Polaris
c. Procyon B
b. Betelgeuse
d. Sirius


Help me plz

Answers

Answer:

I think A..............

The temperature of the radiating layers of a star at which its continuous spectrum is produced is known as surface temperature of star.

Polaris star has a surface temperature most similar to the surface temperature of Alpha Centauri.Betelgeuse and Proxima Centauri have the same surface temperature .Sun has highest luminosity.Blue Giants type of star has a high temperature and a high luminosity.

Learn more:

https://brainly.com/question/17717852

what is the answer to -4-8×+2-15

Answers

-25x because you negative four then subtract 8x then add 2 then subtract 18 then equals to -25x

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?

Answers

Answer:

Solution in photo

Step-by-step explanation:


Round each number to the tenths place.
0.95
0.63
0.555

Answers

1
0.6
0.6

Anything 4 and below gets rounded down.
Anything 5 and up gets rounded up.
0.95= 1
0.63= 0.6
0.555= 0.6

The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio of their curved surface areas

Answers

Answer:

18.852:50.272

Step-by-step explanation:

Step one:

given

The radii of two right circular cylinders are in the ratio 3 : 4

r1= 3

r2= 4

Their heights are in the ratio 1 : 2

h1= 1

h2= 2

Step two:

The expression for the curve surface area is

CSA= 2πrh

CAS1=  2πr1h1

CAS1=  2*3.142*3*1

CAS1=  18.852

CAS2=  2πr2h2

CAS2=  2*3.142*4*2

CAS1=  50.272

The ratio of their curved surface areas

=18.852:50.272

the following box plot shows the number of hours students have spent of math this week. what information can you get from this?
a. the median number of hours spent on Math was about 2.9
b. the mean number of hours spent on Math was about 3.4
c. No students spent less than 2.27 hours on Math
d. All students spent between 2.27 and 4.54 hours on math

Answers

Answer:

A. the median number of hours spent on Math was about 2.9

Step-by-step explanation:

The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.

The given box plot shows the number of hours students have spent on math this week.

How to find the median in the box plot?

The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.

Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The vertical line represents the median, which is 2.9.

Therefore, option A is the correct answer.

To learn more about the plot box visit:

https://brainly.com/question/1523909.

#SPJ5

Can someone help me with letter D?

Answers

Answer:

1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3

Step-by-step explanation:

Answer:

1.4 times is the correct answer

Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
ANSWER: Kiran is jogging at 9.6 miles per hour.

Answers

Kiran is jogging at 9.6 miles per hour

A florist can order roses in bunches of 12 and lilies in bunches of 8. Last month she ordered the same number of roses and lilies. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations.

Answers

Answer:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Step-by-step explanation:

Given that:

Roses come in a bunch of 12 flowers and

Lilies come in a bunch of 8 flowers

Number of roses ordered is equal to the number of lilies ordered.

Total number of flowers ordered are lesser than 100.

To find:

The possible number of combinations such that equal number of flowers are bought.

Solution:

Here, we need to find the Least Common Multiple.

[tex]12 = \underline{2 \times 2} \times 3[/tex]

[tex]8 = \underline{2 \times 2} \times 2[/tex]

LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]

Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.

i.e.

24, 48, 72, 96 ....

Here, two types of flowers are there.

Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.

48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.

Total possible combinations:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Which company has the highest charge per attendee?

Answers

Step-by-step explanation:

As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.

So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.

The length of a rectangle is 5 meters greater then the width. The perimeter is 150 meters. What is the width of the rectangle​

Answers

answer:

p=2(l+w)

150=2.5+w

150=10w

150/10=w

15=w

Someone help ill mark brainless

Answers

It’s B, because 0.9 x 25 - 4.5 = 18

Answer:

b) 18

Step-by-step explanation:

Plug in 25 for x in the equation.

ie: y=.9(25)-4.5

Then solve using a calculator.

The answer should be 18

the sum of 1 and y is greater than or equal to 3 .

Answers

Inequality Answer: 1 + y ≥ 3

I hope this helps, and Happy Holidays! :)

Sam had 75 pollywog pralines. He wanted to put them in bags of 3. How many bags
will he need?
12
25
3
30

Answers

Answer:

sam will take the 75 pollywog pralines and divide them into the three bags

75÷3 =25

Rin can type 280 words in 7 minutes. At this rate, how many words can she type in 10 minutes?

Answers

Answer:

400 words in 10 minutes

Step-by-step explanation:

If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.

Given g(x) = -
—x – 2, find g(-3).

Answers

Answer:

1

Step-by-step explanation:

negative times negative is positive so that would make it 3-2 which is 1.

If QS and TƯ
are parallel lines and
m 55°, what is m

Answers

Answer:

m is your slope. In parallel lines, your slopes are always the same and the y-intercept is always different. so ur slope is also 55.

hmu if u want me to tutor you! im a very good tutor and my fee is 50 cents per hour and every homework or test question is a dollar per page :)

Step-by-step explanation:

Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.

Answers

Answer:

The speed of the current is 2.5 miles per hour

Step-by-step explanation:

Systems of Equations

Let's call:

B = velocity of the boat

C = velocity of the current

When traveling upstream, the current is against the boat thus the relative velocity is B-C.

The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:

d=(B-C)*7=35

Dividing by 7:

B - C = 5       [1]

When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:

d=(B+C)*3.5=35

Dividing by 3.5:

B + C = 10       [2]

Subtracting [2] - [1]:

2C = 5

C = 5/2 = 2.5

The speed of the current is 2.5 miles per hour

in the recent year, 51.9 billion cans were recycled. About how many cans per this week

Answers

998076923.077 per week

Evaluate −6 − (−2). (1 point)

A.−4
B.−8
C.4
D.12

Answers

Answer:

A. -4

Step-by-step explanation:

−6 − (−2) = -6 + 2

              = -4

Hope this helped :)

What should be done to both sides of the equation in order to solve n/4 = -12.4?
A. Multiply by 4.
B. Divide by 4.
C. Multiply by -12.4.
D. Divide by -12.4.

Answers

Answer:

I think is The little (D) -12.4.

Could someone help me with this one? I'm a tad stuck. I'll give brainliest to the correct answer!

Answers

Answer: 130 or a

Step-by-step explanation: 360-230=130

Answer:

130°

Step-by-step explanation:

First step you need draw a line from X to O and line Z to O. Both of them are radius.

as we know, radius and tangent line are always perpendicular. so the degree is 90° each.

shape of XYZO is kite with total of 360°

so the arc XZ have

360 - 50 - 90 - 90 = 130°

the mean of a,b,c,and d is 9 and the mean of a,b,c,d,e and f is 12. find the mean of e and f​

Answers

Answer:

mean of e + f = 18

Step-by-step explanation:

(a + b + c + d)/4 = 9         Multiply by 4

a + b + c + d = 9 * 4 = 36

(a + b + c + d + e + f ) / 6 = 12

but a + b + c + d = 36

(36 + e + f)/6 = 12             Multiply by 6

36 + e + f = 72                 Subtract 36 from both sides

e + f = 36                         Divide by 2 to find the mean.

(e + f)/2 = 36/2

mean of e + f = 18

(05.01)A picture is 5 inches wide and 8 inches tall: A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches. A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? 40 in2 250 in2 100 in2 81.9 in2

Answers

Answer:

B. 250 in²

Step-by-step explanation:

Dimensions of the picture:

5 in and 8 in

Area of the picture:

5*8 = 40 in²

Scale factor = 2.5

Enlarged picture's area:

40*2.5*2.5 = 250 in² (scale factor affects both dimensions)

Option B is correct

The area of the picture after it is enlarged is 250 inches².

Given that,

The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.

A photographer wants to use a scale factor of 2.5 to enlarge a picture.

Based on the above information, the calculation is as follows:

Here, the dimensions of the picture are 5 in and 8 in

Hence, the area of the picture is,

5 × 8 = 40 in²

Since, Scale factor = 2.5

So, the enlarged picture's area would be,

40 × 2.5 ×2.5

= 250 in²

To learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ6

How do you know from a graph if a relationship is a direct variation?

Answers

Answer:

A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2

Step-by-step explanation:

the points (-5,4)and (1,r) lie on a line with slope -1. Find the missing coordinates r.

Answers

Answer:

R has to be -2

Step-by-step explanation:

So to find a slope the formula is written as

Y2-Y1/ X2 -X1

We know X1 and X2 and Y1.

If we plug those in and put Y2 as the variable ”r”

You’ll get

[tex]\frac{r-4}{1+5}[/tex]

Now make that equal to -1 since thats the slope

If you solve the equation it should get you -2

1. 100= 125x^2 find x using logarithms

Answers

Answer:

Step-by-step explanation:

Answer:

x =2√55,−2√55

Decimal Form:  x=0.89442719…,−0.89442719…

Step-by-step explanation:

Other Questions
Choose all the answers that apply.Binary fission _____.is the type of reproduction used by bacteriaoccurs in organisms that do not have a membrane bound nucleusis a type of sexual reproduction creates identical copies of the parent cellis a type of asexual reproduction How do you know from a graph if a relationship is a direct variation? Ken just purchased new furniture for his house at a cost of $16,700. The loan calls for weekly payments for the next 6 years at an annual interest rate of 11.17 percent. How much are his weekly payments would the co2 molecules be able to leave faster if the cell had a smaller volume or larger volume The length of a rectangle is 5 meters greater then the width. The perimeter is 150 meters. What is the width of the rectangle Sugar crystals enter a dryer at the rate of 1000 kg h-1 and at 20% w.b. moisture content. They leave the dryer at 3% w.b. moisture content. If the drying process requires 3000 kJ kg-1 of water removed, estimate the amount of heat required per hour and the rate of dry crystals out of the dryer. what is the central claim of Sugar Changed the World Given g(x) = -x 2, find g(-3). Which Country suffered the most economically as a result of World War 1? Meiosis occurs in a series of different phases and creates genetically unique reproductive cells.Which process helps make meiotic cells genetically different and occurs during prophase I, but not during prophase II?fertilizationindependent assortmentcrossing overchromosome replication Mario owns a store that sells skateboard equipment. Mario understands that people are most likely to notice his headline text in a text ad.What should Mario include in his headline a second plan is ready if the first one failshighlight the dependent clause100 points plz helps Please helppppp me with this the mean of a,b,c,and d is 9 and the mean of a,b,c,d,e and f is 12. find the mean of e and f Sam had 75 pollywog pralines. He wanted to put them in bags of 3. How many bagswill he need?1225330 A student walks 15 km in 3 hours. What is the students average speed? A :45 km/hB :5 km/h12 : km/h18 : km/h the following box plot shows the number of hours students have spent of math this week. what information can you get from this? a. the median number of hours spent on Math was about 2.9b. the mean number of hours spent on Math was about 3.4c. No students spent less than 2.27 hours on Math d. All students spent between 2.27 and 4.54 hours on math Evaluate u+xy for u=17 x=4 and y=8 Which visual aid would help a group of veterinary students study a dogs anatomy?a group of pictures of dogs in various posesa diagram that labels different bones in a dogs bodya line graph that shows how a dogs bones grow over timea bar graph comparing the sizes of bones of different dog breeds If there is a scarcity of supply in potatoes and many people want to buy, the prices is likely to be