James paid an initial fee of $6.00 for a movie rental service. Each time he rents a movie he is charged $2.00. Sarah uses a different movie
rental service that charges based on the equation y = 3x + 4, where y is the total cost and x is the number of movies rented. At what point
are the prices of the two services the same?
606

Answers

Answer 1

Answer:

We have system of equations

James's total cost: Y = 2x + 6 (1)

Sarah's total cost: Y = 3x + 4 (2)

replace y = 2x + 6 and (2) => 2x + 6 = 3x + 4 => x = 2 => y = 10

So the total cost of renting movies by James And Sarah is equal

Step-by-step explanation:


Related Questions

Which situation CANNOT be represented by this equation?
- 1x + 15 = 9

Answers

Answer: Choice B

Explanation:

The term "rising" will indicate that we should use positive 1/3 instead of negative 1/3.

Choices A and C use "decreasing" which is why they involve -1/3. This is why we can rule out these two choices.

. El equipo logístico de una empresa marítima ha comprado un nuevo buque. En
ciones técnicas se establece que el volumen máximo desplazado por el buque con máxima car-
ga es de 70,000 mº de agua salada cuya densidad es de 1027 kg/m². ¿Cuántas toneladas puede
transportar el buque si su peso sin carga es de 20,000 toneladas?​

Answers

Answer:

idontkn oww  atyou rsayin g

h

Step-by-step explanation:

Which expression is equivalent to (7^3)^-2 Please help

Answers

The correct answer is A :)

are 1/2 and 8/16 equivalent rates?

Answers

Yes, they are. 1 x 8 = 8 and 2 x 8 = 16.

Yes.

8/16 is 1/2 of 16/16

Differentiation

Please help me! ​

Answers

Answer:

[tex] \frac{dy}{dx} = - 1 \frac{5}{9} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

☆ [tex]\frac{1}{x} = x^{ - 1} [/tex]

Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, what is the value of A? Give only the numeric value of A, and do NOT give variables in your answer.

Answers

Answer:

b

Step-by-step explanation:

.....

A small town has two local high schools. High School A currently has 850 students
and is projected to grow by 35 students each year. High School B currently has 700
students and is projected to grow by 60 students each year. Let A represent the
number of students in High School A int years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.

Answers

Answer:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that [tex]S_A(t) = 850 + 35t[/tex].

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].

Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]

So after 6 years the number of students in both high schools would be the same.

Order the following from LEAST to GREATEST: -0.9, -4/5, -1/4, -1/2, -7/10

Answers

-0.9, -4/5, -7/10, -1/2, -1/4

Answer:

The answer is -0.9, -4/5, -7/10, -1/2, -1/4.

Step-by-step explanation:

-4/5 = -0.80

-7/10 = -0.7

-1/2 = -0.5

-1/4 = -0.25

2 Which expression is equivalent to -6(- + 2x)? )? 0 -4- 12x O-4+ 2x 04-12x 0 4+ 12x​

Answers

Answer:

4+12x

Step-by-step explanation:

basically just adding and subtracting

The expression which is equivalent to -6((-2/3) + 2x) is; 4 - 12x.

Equivalent expressions

The given expression is;

-6((-2/3) + 2x)

Hence, upon expansion and elimination of the parenthesis;.

= -6(-2/3) -6(+2x)

Hence, the equivalent expression is; 4 - 12x.

Read more on equivalent expressions;

https://brainly.com/question/11258067

what is the best lofi chill song for study

Answers

Answer:

"Chilling in a Quiet Park Outside the City" by Cat Paw.

Step-by-step explanation:

PLEASE HELP ME SOLVE this

Answers

Answer:

y=-12/11

Step-by-step explanation:

y-(-12/11)=0(x-(-12/13))

y+12/11=0(x+12/13)

y+12/11=0

y=-12/11

Since the slope equals 0, then the line is horizontal.

9 + 9h
=
10h + 2 is this infinite solution

Answers

Answer:

no, h=7

Step-by-step explanation:

9+9h = 10h+2

9=h+2

7=h

Four times a number plus three times the number is the same as 14 more than
5 times the number. Find the number.

Answers

Answer: Number equals 7

Step-by-step explanation:

4x+3x=5x+14

7x=5x+14

-5x  -5x

2x=14

x=7

A house is losing value at a rate of 5.4% per year. In 2009, the house was worth $331,000. Find the value of the house in 2021.

Answers

Answer:

$169803

Step-by-step explanation:

Given data

rate of decrease = 5.4%

time = 2009-2021= 12years

P=  $331,000

Let us apply the compound interest formula

A=P(1-r)^t----------------note the minus sign because this is a decrease

A= 331000(1-0.054)^12

A= 331000(0.946)^12

A= 331000*0.513

A=$169803

Hence the value in 2021 is $169803

HELP ME PLEASEEEEEEE

Answers

Answer:

Step-by-step explanation:

cos o = adjacent side /hypothenuse = OQ / PO

In ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°. Find the length of j, to the nearest centimeter.

Answers

Answer:

874

Step-by-step explanation:

The length of j from the given triangle JKL is 550 cm.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔJKL, k = 430 cm, l = 590 cm and ∠J=117°.

Using cosine rule

j²=k²+l²-2kl.cosJ

j²=430²+590²-2×430×590·cos117°

j²=184900+348100-507400×0.4539

j²=533000-230308.86

j²=302691.14

j=√302691.14

j=550 cm

Therefore, the length of j from the given triangle JKL is 550 cm.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ2

x + 14 = 26, x =

I need help please​

Answers

x=12

hope this helps :))

Answer:

x = 12

Step-by-step explanation:

subtract 12 from the 26 and you get 14 so x = 12

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where I is length and w is width. If the length is 2/5 unit and the width is 1/5 a unit, what is the perimeter of the rectangle in units?

3/5
1
1 1/5
2 3/5​

Answers

Answer:

I think it is 1

Step-by-step explanation:

I am sorry if it is not correct



21x+6y=42
7x+2y=14

Answers

For this case we have the following system of equations:

We multiply the second equation by -3:

Thus, we observe that the second equation is equivalent to the first, if we add both we get:

The equality is fulfilled. The lines are on top of each other.

Answer:

Infinite solutions

infinite solutions

hahqjwjwowowowowk

Fill in the blank:
The function is _________ over the interval [3,1].
A. increasing
B. decreasing
C. constant ​

Answers

Answer:

increasing

Step-by-step explanation:

its increasing because it goes back up at a fast rate

a rational number is defined as any number that can be written as a fraction with a non zero denomination
true or false?!

Answers

Answer:

True

Step-by-step explanation:

opposite is irrational number

Erica watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2 3 of the movie left to watch. How much of the movie did Erica watch at night?

Answers

Answer:

1/6 of the movie

Step-by-step explanation:

If ABCD is a square, what is m

Answers

Answer:

I think m is the length of ABCD Square

plz help its timed I need to get my grades up ​

Answers

5 1/4
Explanation:
1/2 is equivalent to 2/4
10 divided by 2 is 5

Answer:

4 12/18, simplified is 4 6/9

Step-by-step explanation:

You change the fractions to improper fractions so 10 1/2 to 21/2 and 2 1/4 to 9/4. Since we can't divide, we change 9/4 to 4/9 and multiply. 21 times 4 is 84 and 2 times 9  is 18.  Since that is an improper fraction, we have to change it to a mixed number. 18 can go into 84 4 times, and 18 x 4 is 72. 84 minus 72 is 12 so the final answer is 4 12/18 (simplified 4 6/9)

Hope this helps :)

plsssssss help me

I will give u 10 points​

Answers

As x moves 3 to the right, y moves 1 up.
Therefore...
The slope is 1/3.
Hope this helps :)
Let me know if there are any mistakes!!

If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?

Answers

Answer:21.87

Step-by-step explanation:

196.83 divided by 9

Answer:

They each cost $21.87

Step-by-step explanation:

If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.

Brian wants to earn $83.49 in 5.5 days how much money would he need to earn each day to reach his goal

Answers

Answer:

15.18

Step-by-step explanation:

Divide $83.49 by 5.5

Answer:

$15.18 a day

Step-by-step explanation:Divide $83.49 by 5.5. You get 15.18. To check this, multiply 5.5 and 15.18 and you should get 83.49. Hope this helped

Which of the following correctly graphs the system of equations?

{y=x−3
y=−2x+3

Answers

The third one

This graph is the only one that shows the correct slops with the correct y intercepts (-3 and 3)

Erica buys a new backpack that has an original price of $50. She uses a coupon that saves her 20% off the original price. How much money did she save? SHOW YOUR WORK!​

Answers

First you find 10% of 50 which is 5 and then to find 20% you just double that amount, 20%= $10.
Answer: Erica saved $10.

work:
$50 by %20 is $10

2
Selecting a Colored Ball
An urn contains 3 red balls, 2 blue balls,
and 5 white balls. A ball is selected and
its
color noted. Then it is replaced. A
second ball is selected and its color
noted. Find the
probability of each of these.
Selecting 1 blue ball and then 1 white
ball

Answers

can u attach a picture? tysm!
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