A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

Answer:

[tex]\huge\boxed{\sf \frac{y-5}{y-3} }[/tex]

Step-by-step explanation:

Solving it by mid-term break method:

[tex]\displaystyle =\frac{y^2-3y-40}{y^2-11y+24} \\\\= \frac{y^2 -8y+5y-40}{y^2-3y-8y+24} \\\\= \frac{y(y-8)+5(y-8)}{y(y-3)-8(y-3)} \\\\Take \ (y-8) \ and \ (y-3)\ common\\\\= \frac{(y-8)(y-5)}{(y-8)(y-3)} \\\\= \frac{y-5}{y-3} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex]\frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]

Step-by-step explanation:

We'll first factorize the quadratic equations by finding their zero-points:

[tex]y^2 - 3y - 40 = 0\\\Delta = (-3)^2 - 4\cdot 1 \cdot -40 = 9 + 160 = 169\\\sqrt{\Delta} = 13\\y = \frac{3 \pm 13}{2}\\y_1 = 8\\y_2 = -5\\y^2 - 3y - 40 = (y - 8)(y + 5)\\~\\y^2 - 11y + 24 = 0\\\Delta = (-11)^2 - 4\cdot 1\cdot 24 = 121 - 96 = 25\\\sqrt{\Delta}} = 5\\y = \frac{11 \pm 5}{2}\\y_1 = 8\\y_2 = 3\\y^2 - 11y + 24 = (y - 8)(y - 3)[/tex]

Now we can use this to simplify the whole division:

[tex]\frac{y^2-3y-40}{y^2-11y+24} = \frac{(y-8)(y+5)}{(y-8)(y-3)} = \frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]

Answer:

abkjjnjnnnnjxnjxbksbx

Step-by-step explanation:

Lol idont know sorry

Answer: in statistics deviation is the difference between the value of one number in a series of numbers and the average value of all numbers in the series (  i hope this helped)

Step-by-step explanation:

Answer:

$82.5

Step-by-step explanation:

75x 0.1 = 7.5

75 + 7.5 =

$82.5

Answer:

60%

Step-by-step explanation:

8-5=3

3/5=0.6 and 0.6 = 60%

so 3 is 60% or 5

so 5+3 is a 60% increase

Answer:

If we are talking about a triangle with two sides being of equal length: 11, then you can use Pythagorean Theorem to solve.  

Step-by-step explanation:

Imagine the sides labeled as a, b, and c. a and b are both 11. We have to find the value of c. we can do this by writing a^2+b^2=c^2. so 11^2+11^2=c^2. All that is left to do is find the square root of c^2 and you are left with your answer.

Answer:

the dimension of the rectangle is 4 cm and 6 cm respectively

Step-by-step explanation:

The computation of the dimension of the rectangle is shown below:

Given that

The perimeter of the rectangle is 20 cm

The width be x

So, the length would be 2 1 ÷ 4 x - 3 i.e.  9 ÷ 4x - 3

Now as we know that

Perimeter of the rectangle = 2 (length + width)

20 = 2 (9 ÷ 4x - 3 + x)

20 = 9 ÷ 2x - 6 + 2x

20 = 4.5x - 6 + 2x

26 = 6.5x

x = 4 cm

Now the length would be

= 9 × 4  ÷ 4  - 3

= 6 cm

Hence, the dimension of the rectangle is 4 cm and 6 cm respectively

Answer:

multiply the 150 on the other side by 'm' also

(34+116)m = 150m

Step-by-step explanation:

equations must maintain balance

Answer:

the third one

Step-by-step explanation:

Answer:

the polygon is the third one so C

Step-by-step explanation:

Edge 2022

The domain is the input value which is the x values

Because the graph continues off the page in a U shape the domain is any real number.

The bottom of the U is at x = 3 and y = 2 so the range is any number greater than or equal to 2

The answer is the first choice.

Answer:

c

Step-by-step explanation:

Answer:

guys its D

Step-by-step explanation:

Answer:

21 minutes

Step-by-step explanation:

4 goes into 14 three times which is 18 minutes. We need 2 more laps four for 6 can be 2 for 3.

Answer:

16 weeks

Step-by-step explanation:

Answer:

936cm^2

Step-by-step explanation:

18×24

+

30×7

+

18×7

+

24×7

Answer:

363cm squared

Step-by-step explanation:

Honestly, I have trouble with this stuff as well.

*keep in mind you need to use PEMDAS

Parenthessees

Exponents

Multiplication

Division

Addition

Subtraction

(24*18+7*18+24*7)/2

without the divisible of 2, this is what the triangular prism would be as a rectangular prism. all you have to do to seperate the two is divide the rectangular prism's value by 2.

Answer:

isosceles triangle?????????????????.................

Isosceles apparently lol.

Answer:

study more so you can understand

Answer:

C) 10 feet

Step-by-step explanation:

h² = 8² + 6² = 64 + 36 = 100

h = √100 = 10

Answer:

m∠1 = 108°

m∠2 = 72°

Step-by-step explanation:

By applying triangle sum theorem in the given triangle,

Sum of all interior angles = 180°

38° + 70° + m∠2 = 180°

m∠2 = 180° - 108°

        = 72°

Since, angles 1 and 2 are the linear angles,

Therefore, m∠1 + m∠2 = 180°

m∠1 + 72° = 180°

m∠1 = 180° - 72°

m∠1 = 108°

Answer:

b=8

Step-by-step explanation:

b/2+1=5

b/2=5-1

b/2=4

b=4×2

b=8

Answer:

m/3

Step-by-step explanation:

fghbzsvbftgzgbtefnysffafbydfs

Answer:

Then why are you even doing that?

Step-by-step explanation:

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]

36 number of 2/3-pint bottles can be filled from a 24-pint container

Answer:

x = 256/3

Step-by-step explanation:

3/8x - 16 = 16

Add 16 to both sides

3/8x = 32

Multiply 8 by both sides

3x = 256

Divide 3 by both sides

x = 256/3 or 85.3333333