Please please PLEASE hurry! 95 points!
Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400
Let y represent the total fee (in dollars) of a trip where they climbed xxx vertical meters.
Complete the equation for the relationship between the total fee and vertical distance.

Answers

Answer 1

Answer:

Step-by-step explanation:

The formula is F(d) = 100+0.10d.

We must find the cost per meter to write the function. We know that the cost to climb a 3000 meter mountain was 400:

400=100+3000(x)

Subtract 100 from each side:

400-100 = 100+3000x-100

300 = 3000x

Divide both sides by 3000:

300/3000 = 3000x/3000

0.10 = x

This is the cost per meter.  Using this, we have the formula

F(d) = 100+0.10(d)

Answer 2

Answer:

T(x) = 0.1x + 100

Step-by-step explanation:

Total fee is $400Initial one off fee is $100Fee for each meter = x

Considering all the given and the vertical distance of 3000 m we get below equation

400 = 100 + 3000x

Solving, we find the fee for each meter:

400 -100 = 3000x300 = 3000xx = 300/3000x = 0.1 dollar per meter

So the equation for total fee including climbing x meters is:

T(x) = 0.1x + 100

Related Questions

determine the measure of angle a. PLEASE HELP ASAP!
a.64 degrees
b.45 degrees
c.88 degrees
d.42 degrees

Answers

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

[tex](9x+6)+(74)+(16x)=180\\[/tex]

Let’s solve for x:

Combine LIke Terms:

[tex](9x+16x)+(74+6)=180[/tex]

Add:

[tex]25x+80=180[/tex]

Subtract 80 from both sides:

[tex]25x=100[/tex]

Divide both sides by 25:

[tex]x=4[/tex]

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

[tex]\angle A=9x+6[/tex]

Substitute 4 for x and evaluate:

[tex]\angle A=9(4)+6=36+6=42\textdegree[/tex]

Hence, our answer is D.

A satellite travels 12 miles in 15 minutes at a constant speed. What is the satellite’s speed in mile per hour?

Answers

Answer: 46 mph

Step-by-step explanation: 15*4=60 so 12*4=46

I hope this helps!

Cuáles son los métodos de integración

Answers

Answer:

Spanish:

Los diferentes métodos de integración incluyen:

Integración por sustitución.

Integración por partes.

Integración mediante identidades trigonométricas.

Integración de alguna función particular.

Integración por fracción parcial

Step-by-step explanation:

English:

The different methods of integration include:

Integration by Substitution.

Integration by Parts.

Integration Using Trigonometric Identities.

Integration of Some particular function.

Integration by Partial Fraction.

jess makes salad dressing by mixing lemon juice and olive oil in the ratio 2:5 by volumr.me. shes uses 0.5 litres of lemon juice. work out how much olive oil she uses to make the salad dressing.

Answers

Answer:

its 2.5 liters of olive oil because .5 times 5 equals 2.5 needed to satisfy ratio.

y= 2x-4
6r - 3y = 12

Answers

You plug the (2x-4) in for y to look like 6r-3(2x-4)=12. then when you solve and subtract the 12 from the other 12 you’re left with 6r-6x=0. divide the 6 out and the answer is r=x all real numbers.

What is the slope of the line that passes through the points (-6, -10) and (3,-13)? Write your answer in simplest form.

Answers

Answer:

We must use slope formula* to solve this.

[tex]\frac{-13 - (-10)}{3 - (-6)}\\\\\frac{-3}{9} = -\frac{1}{3}[/tex]

m** = [tex]-\frac{1}{3}[/tex]

*Slope Formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

**m is the symbol for slope.

Can someone help me on this? Will mark brainleist if they get it right!

Answers

Answer:

2.5

Step-by-step explanation:

2500 ÷ 1000

*Sorry if this is wrong*

I will brainlist HELP

Answers

Answer:

x = 7

y = 10

Step-by-step explanation:

<K and <NLK are marked as being equal.

That means that KN and LN are equal.

So LN = 6

y - 4 = 6

y = 4 + 6 = 10

For the same reason LN = LM

That means that x + 3 = 10

x = 10 - 3

x = 7

11) Which of the following is zero of the polynomial x^3+x^2+x+1

1
-1
both options 1 and 2
None

please answer​

Answers

Answer:

The correct answer is option 2: -1

Step-by-step explanation:

In order to check if a number is zero of a function or not, the numer is put into the function in plave of variable. If the answer is zero thent he number is zero of the function and if the answer is not zero the given number is not a zero of the function.

Given function is:

[tex]x^3+x^2+x+1[/tex]

Putting x=1

[tex]=(1)^3+(1)^2+1+1\\=1+1+1+1\\=4[/tex]

1 is not zero of the function.

Putting x = -1

[tex]=(-1)^3+(-1)^2+(-1)+1\\=-1+1-1+1\\=0[/tex]

-1 is zero of the given function.

Hence,

The correct answer is option 2: -1

What is the measure of Zx in the diagram shown below?
A
23°
B
33°
С
113°
157°

Answers

Answer:

Since that is a right angle it is going to equal 90 degrees. Since you know that the first angle is 67 degrees subtract 67 from 90 and get 23 degrees.

Step-by-step explanation:

answer the question for good boy stars

Answers

Answer:

its-5.5°C

explanation

combine it

Answer:

the answer is br-br

Step-by-step explanation:

that is answer bro

What is the solution to the inequality 75 > x/15?
______________________________________
A) x 1,125

C) x 5
______________________________________

Answers

Answer:

75 > x/15

Step-by-step explanation:

Step 1: Mulitply the 15 on both sides in order to get the x by it self.

Step 2: Simplify. 75 x (15) >x/15 x (15)

Step 3: The 15 on the right hand side cancels out leaving the x by itself.

Final Answr: 1125 > x which translates to x < 1125

 The solution to the inequality is: A) (x > 1125)

To solve the inequality 75 > x/15, we need to find the range of values for x that satisfy the inequality.

First, we can start by isolating x on one side of the inequality. To do that, we can multiply both sides of the inequality by 15 (since 15 is a positive number, we don't need to reverse the inequality sign):

75 * 15 > x

Now, simplify the left side of the inequality:

1125 > x

So, the solution to the inequality is x < 1125, which means all values of x that are less than 1125 will satisfy the inequality.

Visually, if we plot the graph of y = x/15 and y = 75, we'll see that y = x/15 is a straight line with a positive slope of 1/15 passing through the origin, and y = 75 is a horizontal line parallel to the x-axis at the y-coordinate of 75. The solution to the inequality is the region below the line y = 75, which corresponds to the values of x that are less than 1125.

In real-world terms, this inequality represents a scenario where 75 is greater than some fraction of x divided by 15. To satisfy the inequality, x must be less than 1125. For example, if x represents the number of items sold in a store, this inequality would indicate that the store must sell fewer than 1125 items to meet the condition. The store's sales would need to be less than 1125 * 15 = 16,875 to maintain the inequality's validity. Beyond this point, if the store sells more items, the inequality would no longer hold true.

To know more about inequality:

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twice the greater of two integers odd integers is 13 less than 3 times the lesser number. find the integers. what are the integers to this riddle?

Answers

Answer:

17 and 19

Step-by-step explanation:

n= lesser integer       n+2= greater integer

2(n+2) = 3n -13

2n +4  = 3n-13

n= 17

lesser number =17

The other greater  number = 19 (they are odd,so skipping 18)

19 x 2 = 38

17x3 - 13 =51-13 = 38

There are 20 students. Two-fifths of the students are girls. How many students are girls?

Answers

Answer:

There are 8 girls.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

20 divided by 5 = 4.

4x2=8

help
i dunno it
please please

Answers

Answer:

it takes 24 days

Please help me with this :((

Answers

Answer:x=5 or F

Step-by-step explanation:(8x+6)/(5x-2)=2, because it is the midsegment, cross multiply, and you get 2x=10, so x=5

what is the slope of the line ? please

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

4y - 9 - 6y = 2(y + 5) - 3 solve for y

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{y = - 4}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4y - 9 - 6y = 2(y + 5) - 3}[/tex]

Subtract like terms : 6y from 4y

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2(y + 5) - 3}}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2 *y + 2 *5 \: - 3}}[/tex]

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 10 - 3}}[/tex]

Subtract 3 from 10

[tex] \longrightarrow{ \sf{ - 2y - 9 = 2y + 7}}[/tex]

Move 2y to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y - 9 = 7}}[/tex]

Move 9 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2y - 2y = 7 + 9}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{ - 4y =7 + 9}}[/tex]

Add the numbers : 7 and 9

[tex] \longrightarrow{ \sf{ - 4y = 16}}[/tex]

Divide both sides by -4

[tex] \longrightarrow{ \sf{ \frac{ - 4y}{ - 4} = \frac{16}{ - 4}}} [/tex]

Remember : Dividing a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \boxed{ \sf{y = - 4}}}[/tex]

------------------------------------------------------------

Let's check whether the value of y is -4 or not.

Verification

L.H.S : [tex] \sf{4y - 9 - 6y}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{4 * (- 4 )- 9 - 6 * (- 4)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 - ( - 24)}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 - 9 + 24}}[/tex]

[tex] \dashrightarrow{ \sf{ - 16 + 15}}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

R.H.S :[tex] \sf{2(y + 5) - 3}[/tex]

plug the value of y and simplify

[tex] \dashrightarrow{ \sf{2( - 4 + 5) - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 *1 - 3}}[/tex]

[tex] \dashrightarrow{ \sf{2 - 3 }}[/tex]

[tex] \dashrightarrow{ \sf{ - 1}}[/tex]

∴ L.H.S = R.H.S

The value of y is -4

And we're done!

------------------------------------------------------------

Rules for solving an equationIf any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the terms with the variable to left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Best regards! :D

~TheAnimeGirl

Help pls I'm gonna be screwed if you don't get this pls pls pls anyone who knows math well pls help me I'm gonna cry it's over due please:( :(

Just last two please

Answers

Answer:

WRONG ALL

Step-by-step explanation:

3. Should be:

[tex] - 4 \frac{7}{8} \times \frac{2}{3} \\ \\ - \frac{39}{8} \times \frac{2}{3} \\ \\ \frac{ -13}{4} [/tex]

4. Should be:

[tex] - 3 \frac{1}{5} + - \frac{2}{3} \\ \\ - 3 \frac{3}{15} - \frac{10}{15} \\ \\ - 3 \frac{7}{15} [/tex]

I hope this helps you :)

answer the question under here yo

Answers

n + 110 = 180

to solve for n, it would be

n = 180 - 110 <3

if i misunderstood the question mbmb

What is the equation of the line parallel to 8x−16y=−14 and passing through (3,0)?
6x−12y=18
6x+12y=18
12x−6y=−18
12x+6y=18

Answers

Answer:

2y = x - 3

Step-by-step explanation:

Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.

Given the following data;

Points (x, y) = (3, 0)

Equation is 8x - 16y = -14

To find the equation of the line?

First of all, we would have to determine the slope of the line;

y = mx + c ......equation 1

8x - 16y = -14

Rearranging the equation, we have

16y = 8x + 14

Dividing through by 16, we have;

y = 8/16(x) + 14/16

y = 1/2(x) + 7/8

Therefore, the slope, m is 1/2

*To find the intercept*

Since the line is parallel we would use, m = 1/2

Substituting the values into equation 1, we have;

y = mx + c for x = 3 and y = 0

0 = 1/2(3) + c

c = -3/2

Re-writing the equation of line;

Slope, m = 1/2

Intercept, c = -3/2

y = 1/2(x) + (-3/2)

Multiplying all through by the lowest common denominator "2"

2y = x - 3

Amanda made $276 for 12 hours of work, At the same rate, how many hours would she have to work to make $115

Answers

Answer:

5 hours

Step-by-step explanation:

276/12= 23

115/23= 5

5 hours
276 divided by 12 = 23
115 divided by 23 = 5

For the following pairs of equations explain why the equations are NOT equivalent.

Answers

If you were to make both x's equivalent, you'd have to multiply the first equation by 2 to get rid of the coefficient, 1/2. However, you'd have to multiply 2 onto -8 as well, therefore the equation would turn into x - 16 = 18. That is not equivalent to x - 8 = 18.

HELP WILL GIVE BRAINLIEST

Answers

Answer:

A. 2000 square inches

B. 53.1 square inches

In the diagram below, find the value of x to the nearest hundredth

Answers

Answer:

x = √324 = 18

Step-by-step explanation:

x shows up only in the second problem, so I'll focus on that problem.

This is a right triangle because one of the three angles is 90 degrees.

Thus, the Pythagorean Theorem applies:  x^2 + 24^2 = 30^2, or

x^2 = 900 - 576 = 324

Then x = √324 = 18

Parker the dog is 2 feet 6 inches long. There are 2.54 centimeters in 1 inch. How many centimeters is Parker the dog?​

Answers

Answer:

Parker the dog is 76.2 centimeters long.

Step-by-step explanation:

Parker the dog is 2 feet 6 inches long. There are 2.54 centimeters in 1 inch. How many centimeters is Parker the dog?​ 2 feet = 12 inches. 2(12) + 6 = 30

30(2.54) = 76.2.

Please let me know if you have anymore questions.

Good Luck! :)

1 foot = 12 inches

1 inch = 2.54 centimeters

1 foot = 30.48 centimeters

2 x 30.48 =  60.96

6 x 2.54 = 15.24

60.96+15.24=76.20

Parker the Dog is 76.20 centimeters tall.

Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7

Answers

Answer:

12, 43/63

Step-by-step explanation:

Answer: 12 43/63

Step-by-step explanation: it was correct on my test

Answer quick please!

Answers

I think the answer is 22 I added all the sides and multiply 2/3

h(t) = -10+ - 6
h()= -44​

Answers

Answer:

-44

Step-by-step explanation:

What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?

Answers

Answer:

55

Step-by-step explanation:

the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 5y² + 4x

To calculate the value of expression at x = 2.5 and y = 3

Substitute the value of x and y in the expression:

=> 5y² + 4x

=> 5* 9 + 4 * 2.5

=> 45 + 10

=> 55

therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.

Learn more about expression here:

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