It costs $22 to get a pass at a ski report, plus $5.50 each hour to rent skis. Another ski resort charges $18 for a pass and $7.20 per hour to rent skis. Find the number of hours for which the costs are the same. Round your answer to the nearest half hour.

Answers

Answer 1
set the equation for each ski resort.
ski resort 1: 5.50x +22
ski resort 2: 7.20x +18
(x represents the number of hours)
set the equations equal to find when the costs are the same
5.50x+22=7.20x+18
solve for x (subtract 5.50x from both sides, subtract 18 from both sides)
4=1.7x (divide by 1.7)
2.4=x
in 2 and a half hours the cost would be the same

Related Questions

$22 haircut; 20% tip
help..

Answers

Answer:

20% tip = $4.40; total = $26.4

Step-by-step explanation:

20 % = 0.20 ------> 22 * 0.20 = 20% of 22

20% of $22.00 = $4.40

total = $22.00 + $4.40

total = $26.40

[tex]\frac{x-c}{2} =d, for ( x)[/tex]

SHow your work!

Answers

2(x-c)/2 = 2d
x - c = 2d
x - c + c = 2d + c
x = 2d + c

Help please!! and actually try to solve it this is a test and I wanna do good

Answers

Answer:

After doing the math, I came up with B and/or C could be the answer

I think it’s gonna be 1 1 and 2 because you need to have 2 sides that are the same.

Stephen gathered data about the average rainfall in two cities. He organized his data in the given graph.
Average Rainfall
5
City A
ul.
City B
0
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Month
Click on all the true statements about the data.
A. The range of the data for City B is higher than City A.
B. The range of the data for City A is higher than City B.
O C. The median of the data for City B is higher than City A.
UD. The range of the data is the same for both City A and City B.
E. The median of the data is the same for both City A and City B.

Answers

Answer: B.The range Is Higher for city A than City B

E. The median is the same for city A and City B

According to the calculations, the correct statements are B and C.

Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:

The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.

Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.

Learn more in https://brainly.com/question/20982963

I need help asap pleaseeee

Answers

Answer: B,C

Step-by-step explanation:

Elevator A: -4x+16

Elevator B: -3x +16

The graph shows the cost of buying tickets to a concert.
What is the cost of buying 10 tickets?

Answers

It doesn’t say anything post another question

in the sequence 11, 13,15,17 the first term is and the 4th term is ?

PLS HELP

Answers

Answer:

Isnt the

Step-by-step explanation:

Isnt the first term 11

And the 4th 17 lol

2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x = 6, y = 3

Answers

Answer:

There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

[tex]2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\[/tex]

Now we will solve for y using what we got for x.

[tex]2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0[/tex]

Solution:

A: [tex](0, 3)[/tex]

Which of the following is not a function?

A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 2, 3. Column 2 is labeled y with entries 3, 4, 5, 9.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.
y = 3x² – 6x + 4
{(3, 4), (6, 5),
(7, 9), (9, 15)}

Answers

Answer:

A on edge. -

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 1, 2, 3. Column 2 is labeled y with entries 0, 3, 4, 7.

y = 3x² – 6x + 4

{(3, 4), (6, 5),

(7, 9), (9, 15)}

Step-by-step explanation:

got it right

Answer:

it is A on edge the guy before me is wrong

Step-by-step explanation:

can any one help me pls I'm not good at math:(
the graph of a function is shown on the grid​

Answers

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

Susie is solving the quadratic​

Answers

Answer:

Option (D)

Step-by-step explanation:

Standard equation of a quadratic function is,

ax² + bx + c

Comparing this function with the given quadratic function,

f(x) = 2x² - 4x - 3

a = 2, b = -4 and c = -3

By using quadratic formula to get the value of x,

x = [tex]\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

  = [tex]\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}[/tex]

  = [tex]\frac{4\pm\sqrt{16+24}}{4}[/tex]

  = [tex]\frac{-4\pm \sqrt{40}}{4}[/tex]

  = [tex]\frac{-2\pm \sqrt{10}}{2}[/tex]

Therefore, Susie made a mistake in step IV.

Option (D) is the answer.

The heights of two elevators can be modeled by linear functions. At time t = 0. Elevator A is 16 feet above ground floor.
It descends at a rate of 4 feet per minute. The height of Elevator B is shown in the graph.
Which of the following statements are true? Select all that are true.

Answers

Answer:

Option B: Elevator A descends at a faster rate than elevator B

Option C: Elevator A will reach the ground first

Step-by-step explanation:

Elevator A: -4x+16

Elevator B: -3x +16

Option B: Elevator A descends at a faster rate than elevator B

Option C: Elevator A will reach the ground first

The calculation is as follows:

For Elevator A: -4x+16

And,  

Elevator B: -3x +16

Therefore the above statements are true.

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a=zm+z solve for m please help!!!!!

Answers

Answer:

(a-z)/z = m

Step-by-step explanation:

a = zm+z

Subtract z from each side

a-z = mz+z-z

a-z = mz

Divide by z

(a-z) /z = mz/z

(a-z)/z = m

In the diagram, line l and line m are parallel,. Identify the relationship between the angles in the diagram.

∠3and∠5



A
Complementray Angles

B
Vertical Angles

C
Corresponding Angles

D
Supplementary Angles

Answers

Answer:

I completed my angel is a line what's the angels has to be alive but B is not an angel cuz it's her Reddit Iran has to be the right has not as Justin Bieber allusions in the Seas Angel against a little angel has to be a line but you got to put it up one line up so that's how you can do it $8 and a symbol

Step-by-step explanation:

i hope it work

find the measures of 1 and 4 if 2 = 119 and = 61

Answers

Answer:

1 = 61

4 = 119

Step-by-step explanation:

Alternate angles

Answer:

1 = 61 and 4=119

Step-by-step explanation:

If 2=119 then the other side of the angle which is 1 has to equal the sum of 180-119

if you reflected 2 across the x and y axis or in other words swapped places with the angel diagonal from it, this should answer the same thing as 2 hence why 2 equals 4 equals 119

3 would equal 1 which equals 61 as they both make 180 when paired with the angle directly next to it

what is the value of x in the triangle 50° and 55° in the bottom with x at the top 50 on the left 55 on the right

Answers

So, we know that the internal angles of a triangle add up to 180 degrees, yes?  

60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.

Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!  

Hope I helped!!  :)

YALL HELP PLEASE THANK U

Answers

Answer:

I am not getting this question

Step-by-step explanation:

Given Vertex (5,4) and focus (8,4)

It can be easily noticed that focus and vertex lie on the same horizontal line y = 4

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.

(y−k)^2=4a(x−h)

a=8-5=3 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 3

(y−4)^2=4⋅3⋅(x−5)

(y−4)^2=12(x−5)

is the equation of the parabola.

i neeed thiss pleaseeeeeee!!!!!!

Answers

2 the answer is two I think

the sum of renting bowling shoes for $6 and $3 per game

Answers

3x +6b = x
b is the number of bowling shoes you rent

Answer:

9

Step-by-step explanation: 6+3=9

The rent is $9

What is the slope of the line represented by the equation y = 4/5x - 3

Answers

Answer:

the slope 4/5x and the y intercept is -3

Step-by-step explanation:

Are the two given triangles similar? Show your work to support your answer.
Helpppp please

Answers

Yes they’re both right angles and to get either triangle you divide or multiply by 1/2 or 2

PLS HELP ME 80 - 4^2 ÷ 8

Answers

Answer:

I think it's 79

Step-by-step explanation:

.... Hi don't be mad if you get wrong

Answer:

80 - 16 ÷ 8   80 - 2= 78

Step-by-step explanation:

What is an equation of the line that passes through the points (0, 3) and (5,−3)?

Answers

Answer:

y = -6/5x + 3

Step-by-step explanation:

y = mx + c (or b, depending on where you're from)

Slope = m = -6/5

y = -6/5x + c

You can sub (0, 3) and (5, -3) into y = -6/5x + c and they both have the same answer where c = 3

Therefore, the equation is y = -6/5x + 3

Hop this helps

code.
-3x + 4y = -8
8x - y = 16
Solving systems by substitution

Answers

Answer:

The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].

Step-by-step explanation:

We are given a system of equations:

[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]

We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.

[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]

Now, we've solved for y. So, we can substitute this into either equation and solve for x.

[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]

Now, we substitute our value for x into one of the original equations and solve for y.

[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]

Therefore, the solution to our system of equations is:

[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]

plz, answer the question in the photo.

Answers

Answer:

I'm pretty sure its 1 1/8

Step-by-step explanation:

the answer is H. -11/18

please show work
Write the point-slope form of the equation of the line through the given points.
3) through: (4,5) and (0,2)

Answers

Answer:

y - 5 = 3/4 (x - 4) so A

Step-by-step explanation:

It's would be A because the original equation is Y - Y1 = m (X - X1)

Since a coordinate is (x, y) the Y1 = 5 and the X1 = 4

If you plug those in the equation, it will give you y - 5 = m(x - 4)

Now, to figure out the slope, you have to know how you get can to the points (4, 5) from (0, 2). Slope is change in y / change in x. so to get from 0 to 4 for x, you add 4, and 2 to 5 for y, you add 3. Meaning the slope is 3/4. The m in the equation is the slope, so if you plugin the slope, the equation would be

y - 5 = 3/4 (x - 4)

8x=24
Solve the equation for x

Answers

Answer:

x=3

Step-by-step explanation:

Divide both sides by 8.

Answer:

3

Step-by-step explanation:

8x3=24..............

Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?

Answers

Answer:

85 in intreset and 935 totoal

Step-by-step explanation:

Answer:

A = $935.00

I = A - P = $85.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 850(1 + (0.05 × 2)) = 935

A = $935.00

The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.

Answer:

85

Step-by-step explanation:

Rewrite 7/2+ 14/25 as a single decimal.

Answers

Answer:

4.06

Step-by-step explanation:

7/2+14/25 Change into decimals

3.5+0.56 Add together

=4.06

Look at the rectangle and the square
Ada says that the length of diagonal SQ is two times the length of diagonal OM.
Is Ada correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals

Answers

Answer:

NO. Ada is not correct.

Step-by-step explanation:

Using Pythagorean Theorem, find the length of the diagonal of the rectangle and the square, respectively.

✔️Diagonal of the Rectangle:

[tex] a^2 + b^2 = c^2 [/tex]

Where,

a = 8 in.

b = 16 in.

c = hypotenuse (longest side of a right ∆)

Plug in the values into the equation

[tex] 8^2 + 16^2 = c^2 [/tex]

[tex] 64 + 256 = c^2 [/tex]

[tex] 320 = c^2 [/tex]

Take the square root of both sides

[tex] \sqrt{320} = \sqrt{c^2} [/tex]

[tex] 17.9 = c^2 [/tex] (nearest tenth)

Length of diagonal SQ = 17.9 in

✔️Diagonal of the Rectangle:

[tex] a^2 + b^2 = c^2 [/tex]

Where,

a = 8 in.

b = 8 in.

c = hypotenuse (longest side of a right ∆)

Plug in the values into the equation

[tex] 8^2 + 8^2 = c^2 [/tex]

[tex] 64 + 64 = c^2 [/tex]

[tex] 128 = c^2 [/tex]

Take the square root of both sides

[tex] \sqrt{128} = \sqrt{c^2} [/tex]

[tex] 11.3 = c^2 [/tex] (nearest tenth)

Length of diagonal OM = 11.3 in.

SQ is not two times the length of OM.

Therefore, Ada is not correct.

Answer:

No Ada is not correct

Step-by-Step Explanation:

The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it. 

This would be the Rectangle:

a^2+b^2=c^2

8^2+16^2=c^2

64+256+c^2

320=c^2

√320

17.8

This would be the Square: 

a^2+b^2=c^2

8^2+8^2=c^2

64+64=c^2

128=c^2

√128

11.3

Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM. 

I hope this helped :3

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