At Nolan's Car Rentals, customers will pay $60 to rent a mid-sized car for the first day, plus $5 for each additional day. At Westford Rent-a-Car, the price for a mid-sized car is $50 for the first day and $10 for every additional day beyond that. Find the solution to the system.

Answers

Answer 1

Answer:

2, 70

Step-by-step explanation:

It is given that :

At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.

Therefore this gives the equation :

y = 5x +60 ..........(1)

At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.

So the equation will be :

y = 10x + 50.......(2)

Solving (1) and (2), we get

 5x + 60 = 10x + 50

⇒ 60 - 50 = 10x - 5x

⇒ 10 =  5x

∴ x = 2

Now putting the value of x = 2 in equation (1), we get

y = 5x +60

y = 5(2) +60

y = 70

Therefore, (x, y) = (2, 70)


Related Questions

Simplify: (2x + 8)(7x2 - 9x - 5)

Answers

Answer:

-18x^2 -54x + 72

Step-by-step explanation:

(2x+8)(7x2-9x-5) simplifies to -18x2−54x+72

(10 − 343) − 2 × 6 simplify the operation using the order of operations

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex][tex]\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex]

[tex]\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Three angles of a quadrilateral are 75,120, 90,then the fourth angle..​

Answers

Answer:

75

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

Step 1: Set up

75 + 120 + 90 + ∠4 = 360

Step 2: Solve

Add:                                                                                                                   285 + ∠4 = 360[Subtraction Property of Equality] Subtract 285 on both sides:                   ∠4 = 75

PLZ HELP PLZ HELP

SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONG


Length of student desk

Height of classrom'

Width of classroom door

Height of building
Length of a movie ticket

Answers

Answer:

c

Step-by-step explanation:

A hot air balloon is at an altitude of

100 1/5 yards. The balloon's altitude decreases

by 10 4/5 yards every minute. Determine the

number of minutes it will take the balloon to reach an altitude of 57 yards.

Answers

Answer:

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Step-by-step explanation:

Initial altitude:

100 1/5 yards = 100 + 0.2 = 100.2 yards.

Decrease per minute:

10 4/5 yards = 10 + 0.8 = 10.8 yards.

So, after t minutes, the height of the ballon is given by:

[tex]h(t) = 100.2 - 10.8t[/tex]

Number of minutes it will take the balloon to reach an altitude of 57 yards.

This is t for which [tex]h(t) = 57[/tex]. So

[tex]h(t) = 100.2 - 10.8t[/tex]

[tex]57 = 100.2 - 10.8t[/tex]

[tex]10.8t = 43.2[/tex]

[tex]t = \frac{43.2}{10.8}[/tex]

[tex]t = 4[/tex]

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

WILL MARK BRAINLEST PLS HELP ME Find the area of the circle. Round to the nearest tenth. Use 3.14 for it.
32 m
The area of the circle is about
m2.

Answers

Answer:

[tex]804.3m^2[/tex]

[tex]\pi *16^2=804.24772[/tex]

Lily and Matthew are walking from home to school. Matthew has to return a library book on the way and follows the sidewalk. Lily walks directly to school. Assume the path they take forms a right triangle. Use the lengths in the diagram to determine how far Lily walks. Round your answer to the nearest tenth of a mile. Show your work and explain how you determined your answer. 20 points btw

Answers

I think it’s 0.1875 ❤️

What is the mean and range of 15 20 18 22 22 28 29

Answers

Answer:

Mean = 22

Range = 14

Step-by-step explanation:

pls give brainliest

Write the expression
a2b3c2d in expanded
form.

Answers

Answer:

a*2+b*2+c*2+d

Step-by-step explanation:

If i's meant to be Pythagorean theorem, a*a+b*b=c*c

In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?

Answers

Do you have answer choices?

4 (k - 6) = 6 (-4 - 5k)
a) 10
b) 0
c) -2
d) 8

Answers

Step-by-step explanation:

step 1. what is the question? solve for k? okay.

step 2. 4(k - 6) = 6(-4 - 5k)

step 3. 4k - 24 = -24 - 30k

step 4. 34k = 0

step 5. k = 0.

8m/3 if m = 12
Evaluate

Answers

The answer would be 32 because when you plug in the value for m, it becomes 8(12/3) then divide the 12 by 3, then multiply 8 by 4.

Simplify (3x − 5) + (3x + 6)

Answers

Answer:

6x+1

Step-by-step explanation:

3x+3x=6x

-5+6=1

Answer:

6x+1

Step-by-step explanation:

First remove the parentheses

the combine like terms!

6x+1

Hoped it help!

How long will it take me to read 125 pages if I can read 20 pages in 30 minutes?

Answers

Answer:

187.5

Step-by-step explanation:

A sum amount
to rupees 34476 in two and a half years at 4% CI. the sum is ​

Answers

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = [tex]2\dfrac{1}{2}=2.5[/tex] years

To find:

The principal value.

Solution:

Formula for amount is

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we  get

[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]

[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]

[tex]34476=P\left(1.04\right)^{2.5}[/tex]

[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]

Now,

[tex]P=31256.0090[/tex]

[tex]P\approx 31256[/tex]

Therefore, the value of sum or principal value is Rs.31256.

2 numbers have a product of 50 and also have a sum of 14 what are the two numbers x •x and x+x

Answers

Answer:

32 and 18

Step-by-step explanation:

This is a question of simultaneous equation.

Let's say the two numbers are x and y.

ATQ,

x+y =50 ——I

x-y=14——II

On adding I and II,

We get 2x=64

Implying x=32

Putting the value of x in equation I,

32+y=50

y=50–32

=18.

The answer is 32 and 18

Jacob bought 9 bags of balloons. Each bag has 25 balloons. He fills all the balloon and puts 5 balloons in each bunch. How many bunches can he make please help me

Answers

45
9 x 25 = 225
225 divided by 5= 45
So Jacob can make 45 bunches
Hopefully I’m right :)

Is 4x-10y=2 equal to 4x-3y=0?

Answers

Answer:

No it is not

Step-by-step explanation:

2/5× = ?


I don't understand how to answer this​

Answers

Answer:

10

Step-by-step explanation:

2x5 is basically 1x5= 5x2=10

This figure is made up of a rectangle and parallelogram. What is the area of this figure.

Answers

Answer:

area of the parallelogram=6

area of the rectangle=20

total area=26 square units

HELP PLEASE WILL LEAVE GOOD REVIEW.

Answers

Answer:

Step-by-step explanation:

He needs 2.5 cm of ribbon left or in easier words 6 cm..-

Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)

Answers

Answer: 1 hour 38 minutes

Step-by-step explanation:

From 11:51 AM to 12:00 PM (noon)

9 minutes

from 12:00 PM to 1:00 PM

1 hour

1:00 PM to 1:29 PM

29 minutes

______________________________

9 minutes + 1 hour + 29 minutes

1 hour 38 minutes

Solve the inequality.
-3.25y <-61.75

Answers

Step-by-step explanation:

-3.25y < -61.75

-3.25y < -61.75

-3.25. -3.25

whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.

y > 19 , S.S= [ 20,21,22,23.....]

The length of Juan’s math book is 10.5 inches. What is the approximate length of her book in centimeters?

Answers

Answer:

27 cm

Step-by-step explanation:

Write the equation in standard form using integers.

Answers

Answer:

it would be:

3x-4y=-8

Step-by-step explanation:

Simplify
3^-2 × -2^3​

Answers

Answer:

[tex]\huge\boxed{\boxed{\color{silver} \sf- \frac{8}{9}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] {x}^{ - n} < = > \frac{1}{ {x}^{n} } [/tex]let's solve:

[tex] {3}^{ - 2} \times { - 2}^{3} [/tex]

[tex] \frac{1}{ {3}^{2} } \times - 2 \times - 2 \times - 2[/tex]

[tex] \frac{ 1}{9} \times - 8[/tex]

[tex] - \frac{8}{9} [/tex]

Step-by-step explanation:

3^-2 × -2^3

1/3²×-2³

1/9×-8

-8/9

A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.

Answers

Answer:

The answer is "0.30%"

Step-by-step explanation:

To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.

There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.

The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.

[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]

[tex]\to 0.00309597523 \approx 0.30 \%[/tex]

Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.

Answers

First attachment = 3
Second attachment = -7
Third attachment = 25

SOLVEEEEEE XXXXXXXxx

Answers

Answer:

25 degrees

Step-by-step explanation:

The total angle sum of a triangle is 180 degrees

since the two sides are equal...

(x) + (x) + (4x + 30) = 6x + 30 = 180

==> x = 25 degrees

a new sweater cost $15.99 . if the sweater is on sale for 1/4 its about how much would you save? need help ASAP​

Answers

Answer:

$4.00   If it's for sale for 1/4 off, then it's $12.00

Step-by-step explanation:

15.99 x 0.25 = 3.99

Answer:

3.9975

Step-by-step explanation

that is the amswer just round or do whatever you need

Other Questions
what was Thomas Edison first major invented? Solve the equation below. Simplify if necessary.-4/7v = -8 2/3Show how you did it please :) what slope equation is parallel to y=5x-10 Find the average rate of change over the interval (-1, 2] (x=-1 and x=2). 5. At the end of the text, Jacobs writes about a woman who begged her toget her a newspaper. Why does Jacobs likely include this story in thetext?O A To demonstrate the conflicting and often incorrect informationreceived by slavesOB To condemn the illiteracy and lack of education enforced byslaveholdersOC To correct the woman who thought America had a queenOD To bemoan the lack of available newspapers and literature in theSouth 100POINTS! EXPLAIN YOUR ANSWER OR I REPORT The characteristics of the pre-Columbian Native American religions and how religion relates to the Native American view of the private ownership of land. What positive aspect of the primary system does professor Garraty describe? A girl stands on a bathroom scale. In metric units, the scale indicates that her weight is 42Newtons. This means the force of gravity is pulling her feet onto the scale with a force of 42Newtons. With what force does the scale push back up against her feet? what is 4300x300 if you dont know it just try what is 15.4+5.4 its very hard for me to learn after all home school kriti is singing a prayer song in present continuous Which of the following statements is TRUE?A. Rods help you see in bright light.B. Rods help you see colors.C. Rods help you see in dim light.D. Rods help you see detail. Is nitric acid a strong or weak acid. Explain your answer. If the hotel has no vacancy, you can stay with ____. 2Na(s) + Cl2(g) 2NaCl(s)Which of the following choices shows the correct Lewis electron-dot diagram for a molecule of chlorine, Cl2? True or False: Competition occurs between individuals of thesame species that use the same resources? write 5/6 as a decimal Which approach to foreign policy involves sending ambassadors to other countries?IsolationDiplomacyInterventionImperialism THIS IS REALLY IMPORTANT, I WILL MARK BRAINLIEST IF U HELP ME!!!!!!!!!!1Intentionality is an important concept with respect to using technology with and around young children. Often, this requires a lot of planning. How do you think busy teachers or parents can make sure that their students or children have intentional experiences with technology whenever possible? Try to think of ideas that do not take up much time but can have a lasting impact.