Travis is an avid skier. He is trying to decide whether to buy ski equipment. Typically, it costs him $60 a day to rent ski equipment and buy a lift ticket. You can buy ski equipment for about $400. A lift ticket alone costs $35 for one day. Find the break-even point.
a.
4 days
b.
11 days
c.
6 days
d.
16 days

Answers

Answer 1

Answer:

D. 16 days

Step-by-step explanation:

Set up an equation where x is the number of days.

60x will represent his cost to rent the equipment.

35x + 400 will represent his cost if he buys the equipment.

Set these equal to each other and solve for x:

60x = 35x + 400

25x = 400

x = 16

So, the break even point is 16 days.


Related Questions

If point A is located at -8 on a number line and point B is located at 3 what is the distance between the two points?​

Answers

Answer:

5

Step-by-step explanation:

you just have to subtract 3 by 8 and then you get 5

Answer:

11

Step-by-step explanation:

You are finding the space between them so we are going to make them absolute values and then add them:

|-8| + |3| = 8+3 = 11

Reflect (-3, -3) over the y-axis.
Then translate the result to the left 2 units.
What are the coordinates of the final point?

Answers

Answer: (1,-3)

Step-by-step explanation:

The sand pit for the long jump has a width of 3.65 meters and a length of 9.5 meters. The cheerleaders want to cover the pit with a sign cheering on their team. How many square meters of paper will the cheerleaders need to cover the sand pit?

Answers

Answer:

34.675 square meters of paper

Step-by-step explanation:

multiply 3.65 by 9.5 to get the area or square meters

Please give the right answer and help me, i’ll give brainliest❤️

Answers

Answer: Wouldn't That be 15, Since He bought 515, Then spent 500, So 515-500=15 (If its Wrong I'm Sorry)

One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN = 1/2 PR.

The coordinates of Q are:

The coordinates of R are:

The slope of MN is:

The slope of PR is:

The line segments are (select)

MN =

PR =

Answers

Answer:

See the proof below

Step-by-step explanation:

Given the following coordinates

P(2, −1)

Midpoint of PQ M(3, 0)

We can get the coordinate point Q using the midpoint formula;

M(X,Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

3 = 2+x2/2

6 = 2+x2

x2 = 6-2

x2 = 4

Y = y1+y2/2

0 = -1+y2/2

0 = -1 + y2

y2 = 0+1

y2 = 1

Hence the coordinate of Q is (4, 1)

Next is to get the coordinate of R

Given the midpoint of QR to be N(5, 3)

(5,3) = (4+x2/2, 1+y2/2)

5 = 4+x2/2

10 = 4+x2

x2 = 10-4

x2 = 6

1+y2/2 = 3

1+y2 = 6

y2 = 6-1

y2 = 5

Hence the coordinate of R is (6,5)

Given the coordinates M(3, 0) and N(5, 3)

Slope is expressed as:

m = y2-y1/x2-x1

m = 3-0/5-3

m = 3/2

Slope of MN = 3/2

Get the slope of PR

Given the coordinates P(2, −1) and R (6,5)

Slope of PR = 5-(-1)/6-2

Slope of PR = 5+1/4

Slope of PR = 6/4 = 3/2

Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR

To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:

For MN with coordinates  M(3, 0) and N(5, 3)

MN = √(x2-x1)²+(y2-y1)²

MN = √(5-3)²+(3-0)²

MN = √2²+3²

MN = √13

Get the length of PR where P(2, −1) and R (6,5)

PR = √(6-2)²+(5+1)²

PR = √4²+6²

PR = √16+36

PR = √52

PR = √4*13

PR = √4*√13

PR = 2√13

Since MN = √13

PR = 2MN

Divide both sides by 2

PR/2 = 2MN/2

PR/2 = MN

Hence MN = 1/2 PR (Proved!)

Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter. They decide to use a random number table to sample 10 of the 78 members. Which of the following correctly labels the population?

A.) 0–78
B.) 1–78
C.) 00–78
D.) 01–78

Answers

Answer:

D

Step-by-step explanation: edge 2021

I'm solving for UW. And we're using pythagorean theorem.​

Answers

UW = 45
a squared + b squared = c squared
- 6^2 + x^2 = 9^2
- 36 + x = 81
- (subtract 36 from both sides)
- x = 45

i'm pretty sure this is right and i hope it helps you!

Answer:

6^2+x^2 = 9^2

x^2 = 9^2-6^2 = 81-36 = 45

x = √45

UW = √45 ft

Solve the inequality
8(x/4 - 6) >_ 4


Answers

Answer:

D. x[tex]\geq[/tex]26

Step-by-step explanation:

Its x >_ 26

______________

y is inversely proportional to x. What are the values of a and b?

Answers

Look at the picture attached for answers

Answer:

HEY CAN YOU HELP ME PLEASE WITH MY MATH YOU just did iv got a couple more please

Step-by-step explanation:HEY CAN YOU HELP ME PLEASE WITH MY MATH YOU just did iv got a couple more please

Please help

Type the correct answer in each box. Consider this expression.
-4x^2+2x-5(1+x)

What expression is equivalent to the given expression

___x^2+___x+___

Fill in the three blanks.

Answers

Answer: n3 when

Step-by-step explanation: just say he fell in the water

Answer:

Step-by-step explanation:

Find the value of f(x) = -3x +2
When x=2

Answers

Answer:

it is -4

Step-by-step explanation:

-3 * 2 = -6 + 2 = -4

4 hundreds = _ ones​

Answers

Answer:

4 hundred ones

Step-by-step explanation:

4 hundreds = 400

400 = 4 hundred ones.

The only difference is the plural use and singular use.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

how to calculate area when you are given volume of 182m3 and height of 2.8m

Answers

Hey there!

We simply have to do 182/2.8, and you will get the area (65m^2).

We know that the formula for area is length x width, and the formula for volume is length x width x height. In the volume formula, we can see it can also be area x height to get volume. So, we know that area x height = volume, right? And in this equation, we are given volume and height. If          V = ha, with V = volume; h = height; a = area, we can divide "h" on both sides, and we get V/h = a, or volume divided by height is area. To solve for the above equation, we can plug the numbers in the formula: 182/2.8 = a, or 65 = a.

Hope this helps! Have an amazing day, and remember, you've got this!

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

Answer:

6936 pints and 1156 cups

Step-by-step explanation:

Answer:

7514 pints

Step-by-step explanation:

i rechecked and this was correct?

the landfill revisited recent growth in the country has shown that the volume of the landfill

Answers

Answer:

56

Step-by-step explanation:

Write an exponential function for each set of points.
(0 , 1024), (1,256), (2,64). (3 , 16) and (4 ,4)

Answers

Answer:

[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]

Step-by-step explanation:

We are given that

(0,1024),(1,256),(2,64),(3,16)and(4,4)

From given data we assume an exponential function

[tex]f(x)=a^{b+x}[/tex]

where b and a are constant

[tex]f(0)=1024[/tex]

[tex]1024=a^b[/tex]...(1)

[tex]f(1)=256[/tex]

[tex]256=a^{b+1}[/tex]...(2)

Equation (1) divided by equation (2)

Then, we get

[tex]\frac{1024}{256}=\frac{a^{b}}{a^{b+1}}[/tex]

[tex]4=a^{-1}[/tex]

[tex]a=\frac{1}{4}[/tex]

Using the the value of a in equation (1)

[tex]1024=(\frac{1}{4})^{b}[/tex]

[tex]4^{5}=4^{-b}[/tex]

[tex]-b=5[/tex]

[tex]b=-5[/tex]

Therefore, the exponential  function

[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]

The sides of a rectangle are 2x + 3 and 14. What are 2 expressions that represent the area of the rectangle?

Answers

Answer:

28x+42

14(2x+3)

Step-by-step explanation:

Area of a rectangle is lenght times width

A = L * W

So

14(2x+3)

28x+42

What is an angle complimentary of 3?

Answers

Answer:

∠2

Step-by-step explanation:

∠2 + ∠3 = 90°

complimentary angles add up to 90°

Helpppppppppppppppp please

Answers

I think it’s A. Here is my sloppy writing.

PLEASE HELP THANK YOU ILL MARK BRAINLESS

Answers

Answer:

m = 3/4

Step-by-step explanation:

We have the points (-2,2) and (2,5). We can use those to calculate the slope:

m = 5 - 2 / 2 - (-2)

m = 5 - 2 / 2 + 2

m = 3/4

help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

what do u need help with

Step-by-step explanation:

??

Which of the following rational numbers is equal to that? please help quickly

Answers

Answer:

31/9. you have to count by nines, get three whole numbers which are not fractions, and you are left with 4. and a whole 3 plus 0.4 = 3.4 hope that helps homie

Determine the measure of ∠Q, rounded to the nearest tenth of a degree.

Question 9 options:


A)
22.8°


B)
73.5°


C)
36.1°


D)
66.0°

Answers

In the given triangle the measure of ∠Q is (B) 73.5°.

What is a triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

So, let's use the Sine rule in the calculation as follows:

q/sin q = r/sin r15/sin q = 12/sin 50.1 (Cross multiply)12 × sin q = 15 × sin 50.1 (divide both sides by 12)sin q = 15 sin 50.1/12q = sin⁻¹(15 sin 50.1/12) ≈ 73.5° (Rounded off)

Therefore, in the given triangle the measure of ∠Q is (B) 73.5°.

Know more about triangles here:

https://brainly.com/question/28889256

#SPJ1

For a hypothesis test of H0: p = 0.35 against the alternative, Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?

a. The finding is significant at α = 0.05, but not at α = 0.01.
b. The finding is significant at α = 0.01, but not at α = 0.05.
c. The finding is significant at both α = 0.05 and α = 0.01.
d. The finding isn't significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p.

Answers

Answer:

c? sorry if it's wrong...

The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

For a hypothesis test of H₀, p = 0.35 against the alternative,

And, Hₐ: p > 0.35, the z test statistic is found to be 2.45.

Now, We get;

P(z < 2.45) = 0.9929

Hence, Significant is,

⇒ 1 - 0.9929 = 0.0071

Thus, Significant at both 0.05 and 0.01 because both are greater than 0.0071.

So, The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

Learn more about the probability visit:

https://brainly.com/question/13604758

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Using the formula A = 6s2, solve when s = 2?

Answers

Answer:

When s=2, A=24

Step-by-step explanation:

We are given the formula [tex]A = 6s^2[/tex]

We need to solve and find value of A , when s=2

So, putting value of s in the given formula we can find value of A

The formula given is:

[tex]A=6s^2\\Put\:s=2\\A=6(2)^2\\A=6(4)\\A=24[/tex]

So, by putting s= 2, We get A=24

Find the value of x for the right triangle.

Answers

Answer:

x= 4.5

Step-by-step explanation:

Please see the attached picture for the full solution.

The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
y-intercept of f(x) is 90. Write the equation of the cubic polynomial in standard
form.

Answers

Answer:

[tex]P(x)=-5x^3-40x^2-45x+90[/tex]

Step-by-step explanation:

Equation of a Polynomial

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

[tex]P(x)=a(x-x1)(x-x2)(x-x3)[/tex]

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

[tex]P(x)=a(x+6)(x+3)(x-1)[/tex]

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

[tex]P(x)=-5(x+6)(x+3)(x-1)[/tex]

We must write it in standard form, so we have to multiply all of the factors as follows:

[tex]P(x)=-5(x^2+6x+3x+18)(x-1)[/tex]

[tex]P(x)=-5(x^2+9x+18)(x-1)[/tex]

[tex]P(x)=-5(x^3-x^2+9x^2-9x+18x-18)[/tex]

[tex]P(x)=-5(x^3+8x^2+9x-18)[/tex]

[tex]\boxed{P(x)=-5x^3-40x^2-45x+90}[/tex]

To ensure that the mass of an average grain of rock salt stays the same, what should you multiply the first factor 1.2 by so that 10 negative 2 becomes 10 negative 4

Answers

Answer:

Step-by-step explanation:

[tex]1.2 X 100=120.\\[/tex]

Answer:

The mass of an average grain of rock salt is 1.2 x 10^-2. In part A, you multiplied 10^-2 by 10^-2 to get 10^-4. So, multiply the first factor, 1.2 , by 10^2, or 100.

The first factor will then be 1.2 x 100 = 120.

Step-by-step explanation:

Edmentum answer

how to solve percents

Answers

Answer:

45%=45%100...................

Answer:

divide then multiply

Step-by-step explanation:

like u got 2 wrong answer of 20 so divide 2/20 then multiply by 100 that gives u 10

Fernando borrowed $38 to go to the country fair. He won $42 at the horse races, and then spent $12 trying to win a large stuffed animal. What is his financial situation now??

Answers

$68

Add 38 with 42 then subtract by 12 to find the total sum.

$38+$42=$80

$80-12=$68

Total: $68.

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