A rental car company is running two specials. Customers can pay $50 to rent a compact car
for the first day plus $6 for each additional day, or they can rent the same car for $20 the
first day and $12 for every additional day beyond that. Nora notices that, given the number
of additional days she wants to rent the car for, the two specials are equivalent. How many
additional days does Nora want?
Write a system of equations, graph them, and type the solution

Answers

Answer 1

Answer:

After 5 additional days it will be equal

Step-by-step explanation:

1st special: 6x + 50

2nd special: 12x + 20

6x + 50 = 12x + 20

Subtract 20 from both sides;

6x + 30 = 12x

Subtract 6x from both sides;

30 = 6x

Divide both sides by 6;

x = 5


Related Questions

Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.

Answers

Answer:

Picture?

Step-by-step explanation:

Answer:

heres the picture

Step-by-step explanation:

please help me in math ​

Answers

there are two ways you can do this. Go through each of the nth terms separately and find the one that matches or you can find the nth term with the sequence itself.

so you find the size difference inbetween each term which is -5 so you know there will be -5n in your formula so then you need to make n= 1 (for the first term) so that equals -5 but you want -3 so you need to find what + -5 equals -3 which is 2.

So now you know your answer is 2-5n

Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?

Answers

Given:

Original price of a blouse = $21.99

Sale = 25% off

To find:

The cost of blouse during the same before tax.

Solution:

Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.

[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]

[tex]\text{Price of blouse during sale}=16.4925[/tex]

Approximate the value to the nearest cent (2 decimal places).

[tex]\text{Price of blouse during sale}\approx 16.49[/tex]

Therefore, the cost of blouse during sale is $16.49.

Answer:

16.49

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(5,5) and (1,1)

Answers

Answer:

(3,3)

Step-by-step explanation:

x=(5+1)/2=3

y=(5+1)/2=3

Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?

Answers

Answer: y= 9

Step-by-step explanation:

A = (4, 2)
B = (- 1, y)

We know that the slope is -7/5 which is rise/run

Thankfully the run is 5 which is the exact distance from 4 to -1 so we would need to apply -7 to 2 which would be 5
The answer is
B = (- 1, 5)

The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?

Answers

6.75 is the answer hope it helps

Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.

Answers

Answer:

They intersect at one point

Step-by-step explanation:

I took the test and got 100%

Answer:

They have to intersect at one point

Step-by-step explanation:

Find three consecutive even integers suche
that one half of their sum is between 15
and 21.

Answers

9514 1404 393

Answer:

  10, 12, 14   and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question

Step-by-step explanation:

If x is the middle one, then their sum is 3x. You want ...

  15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21

  30 < 3x < 42

  10 < x < 14

The only even integer in that range is 12, so the three integers are ...

  10, 12, 14 . . . . . half their sum is 18

__

We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.

write the polynomial in standard form 3-3m+4m^{2} -1/2m^{6}

Answers

Answer:

[tex]3-3m+4m^2-\frac{1}{2} m^6[/tex]

Step-by-step explanation:

The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each player in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.

Answers

Answer:

Step-by-step explanation:

Estimates are rough guesses based on current or previous prices. Therefore, it is impossible to conclude whether or not Trenton has actually raised enough money, especially if no actual price for the jackets has been provided. That being said an estimation is usually a close enough representation of the actual value, which would mean that the chances of having raised enough money (if that is what the estimates say) are pretty high.

SAMB DOGRUS
4(2x-1)+3(2x+5)
4(2x - 1) + 3(2x+5)

Answers

Answer:

14x + 1

Step-by-step explanation:

4(2x-1)+3(2x+5) = 2x*4 - 1*4  + 2x*3 + 5*3

                          = 8x - 4 + 6x + 5

                          = 8x + 6x -4 + 5  {Combine like terms}

                          = 14x + 1

Ok, I think it is 14x+11

So what you should likely do first is distribute the 4 to the (2x-1), as well as distributing the 3 to the (2x+5). Then, you should end up with 8x-4+6x+15 once you have completed the distribution. After that, you should combine like terms so, 8x+6x to get 14x and then 15-4 to get 11 >>(NOTE: this can also be written as -4+15 which also gets 11, it just may be easier to see this as a subtraction problem in this sense), as a result you have 14x+11.

(I have work shown below)
Hope this helps!! :)

Which of the following is part of the solution to the trigonometric inequality img included over the interval img included radians?

Answers

Answer:

C: pi/4<x<5pi/4

Step-by-step explanation:

I just did the test

The solution of the trigonometric inequality will be equal to π / 4.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,

3 - tanx ≥ 4 - 2tanx

2tanx - tanx ≥  4 - 3

tanx ≥ 1

tanx ≥  tan(π/4)

x ≥ (π/4)

Therefore, the solution of the trigonometric inequality will be equal to π / 4.

To know more about trigonometry follow

https://brainly.com/question/25275758

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Select the correct answer. Which equation, when solved, gives 8 for the value of x?​

Answers

The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.

[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]

[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]

[tex]-\frac{1}{4}x=-2[/tex]

[tex]x=8[/tex]


The manager of a garden store decides to hold a Buy 3, Get 1 Free sale on vegetable plants. The sale is held for one week and a total of 636
vegetable plants were sold (not including the ones given away for free). If each plant cost the store $2.90, how much money did the store lose
by giving away the free plants?

Answers

Answer:

the shop lost $922.20 by giving away free vegetable plants.

Step-by-step explanation:

you would start by dividing 636 by two to see how many free vegetable plants were given away.

636 / 2 = 318

this shows us how many free vegetable plants were given for free, so then to find how much money the store lost giving them away for free, you would multiply 318 by 2.9

318 x 2.9 = 922.2

Therefore the shop lost $922.20 by giving away free vegetable plants.

Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)

x = 1 1/2
x = -1 1/2
x = 1 1/4
x = -1 1/4

Answers

Answer:

A. x = 1 1/2

Step-by-step explanation:

Answer:

A. x = 1 1/2

Step-by-step explanation:

WILL GIVE BRAINLIEST
Select all the correct answers.

Which relations represent functions?

Answers

Answer:

First and third relations represent functions.

Step-by-step explanation:

First and third relations are one-to-one and many-to-one respectively, therefore these are functions.

Second and fourth relations are one - to - many, thus they are not functions.

Answer:

first and third

Step-by-step explanation: just took the test like 5 secs ago

Which equation is equivalent to y – 6 = –12(x + 4)?
A. y = –6x – 48
B. y = 6x – 48
C. y = –12x – 42
D. y = –12x – 54

Answers

Answer:

Y-6 = -12 (x+4) Y = -12x - 48 + 6 Y = -12x - 42 answer is c

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[tex]y - 6 = - 12(x + 4)[/tex]

[tex]y - 6 = - 12x - 48[/tex]

Add sides 6

[tex]y - 6 + 6 = - 12x - 48 + 6[/tex]

[tex]y = - 12x - 42[/tex]

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The correct answer is (( C )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??

Answers

Step-by-step explanation:

1. 4/8=1/2

2.3/9=1/3

3.9/12=3/4

4.3/6=1/2

Can you show me the answers step by step please?

Answers

Answer:

3490

Step-by-step explanation:

Please help!! I’m stuck on this one haha

Answers

Answer:

Ready to help soon as we know what that "one" is

Answer:

hahaha where is the pic

Step-by-step explanation:

Find two possible next terms of a sequence 2, 8, ____, ____ that is neither geometric nor arithmetic.

Answers

9514 1404 393

Answer:

one possible pair of next terms: 0, 1a second possible pair of next terms: 14, 32

Step-by-step explanation:

The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.

The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.

Any pair of numbers can be used that is not (14, 20) or (32, 128).

The next two terms could be 0 and 1, or they could be 14 and 32.

  2, 8, 0, 1 . . . is a sequence of no particular type

  2, 8, 14, 32 . . . is a sequence of no particular type

what is the interior of a decagon

Answers

Answer:

Decagon Definitions A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° 144 ° and they all add up to 1,440° 1,440 °.

Step-by-step explanation:

really hope this helps, Good luck ^w

In geometry a decagon is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is 1440.

EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer: its is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

7 (3 - 0.5k) 3k - 5​

Answers

Your answer is going to be 63k-10.5k square 2 -5

Step-by-step explanation:

63k -10.5k square 2-5 and you have you answer

Please help me i'm not very good at math :))

Answers

Answer: (1, 5)

Explanation:

You really just have to input all the variables into the inequality and see if it is accurate.

(2, 4)

4 > 2(2)     4 > 4  no, it is equal to, not greater than

4 > 3         yes

(0, 3)

3 > 2(0)     3 > 0  yes

3 > 3         no, again, equal to

(4, 6)

6 > 2(4)    6 > 8 no

6 > 3         yes

(1, 5)

5 > 2(1)   5 > 2 yes

5 > 3                yes

the diagram shows a right-angle triangle.

Answers

Answer:

Step-by-step explanation

The shortest length of the right-angled triangle is 4 cm.

What is a right-angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.

Given is, the diagram shows a right-angle triangle.

We have area of the right-angle triangle = 18 cm²

We know that area of a right-angle triangle = 1/2(base)(height)

18 =  1/2(x - 1)(x + 4)

36 = (x - 1)(x + 4)

x² + 4x - x - 4 = 36

x² + 3x - 4 = 36

x² + 3x - 4 - 36 = 0

x² + 3x - 40 = 0

x² - 5x + 8x - 40 = 0

x(x - 5) + 8(x - 5) = 0

x + 8)(x - 5) = 0

x = -8 or 5

we can only use positive numbers because length can't be negative,

Thus, x = 5

The shortest side is definitely one of the 2 legs. The hypotenuse of a triangle is the longest side.

Therefore,

height = x - 1 = 5 - 1 = 4 cm

base = x + 4 = 5 + 4 = 9 cm

Hence, the shortest length of the right-angled triangle is 4 cm.

learn more on right-angled triangle here:

brainly.com/question/2292567

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a(b + c) = a • b + a • c, where a, b, and c are real numbers

Use the distributive property to simplify the expression.
8(3 + 4) = 24 +

Answers

Answer:

a(b + c) = a • b + a • c

=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32

Step-by-step explanation:

Answer:

The answer for the blank is 32

Step-by-step explanation:

help me please , the question is in the picture .

Answers

Answer: 4.2x10^5=420000

Step-by-step explanation: its a positive five so you go in the positive direction from the decimal but if it was a negative you could go the other way (hope this helps)

to increase an amount by 19% multiple by?

Answers

To increase an amount by 19% you need to multiple the amount by 1.19

Answer:

1.19

Step-by-step explanation:

The original full amount is 100%.

When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.

To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19

Answer: 1.19

Write the equation in point-slope form
of the line that passes through the point
(4, -7) and has a slope of -1/4.

Answers

Answer:

first i know but idk then

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