1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BartSMP [9]
3 years ago
11

The students at a community center are participating in a bike riding fundraiser at a local park. A local company is donating $1

.75 per mile for each rider. The students have a choice of four different trails to ride. If they choose all four trails, how much money would one student earn for the fundraiser?
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
5 0

Answer:

This can not be properly answered, because we do not have the length of each trail.

The first step here will be find the length, in miles, for each of the four trails.

As students choose all four trails, the number of miles that each student will bike is equal to the addition of the lenght of the four trails.

Suppose this number is N.

So each student bike N miles, and the company donates $1.75 per mile. Then the amount of money that a single student is N times $1.75, or N*$1.75

You might be interested in
HELLLLLPPPPPPPPPP WITH THESE QUESTIONS
vredina [299]
What questions? Idk where the pic is
3 0
3 years ago
Dont really understand how to do this
bija089 [108]

Answers:

t_{10} = -22 \ \text{ and } S_{10} = -85

========================================================

Explanation:

t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4

and so on. This process may take a while to reach t_{10}

There's a shortcut. The nth term of any arithmetic sequence is

t_n = t_1+d(n-1)

We plug in t_1 = 5 \text{ and } d = -3 and simplify

t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8

Then we can plug in various positive whole numbers for n to find the corresponding t_n value. For example, plug in n = 2

t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2

which matches with the second term we found earlier. And,

tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}

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

The notation S_{10} refers to the sum of the first ten terms t_1, t_2, \ldots, t_9, t_{10}

We could use either the long way or the shortcut above to find all t_1 through t_{10}. Then add those values up. Or we can take this shortcut below.

Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}

The sum of the first ten terms is -85

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

As a check for S_{10}, here are the first ten terms:

  • t1 = 5
  • t2 = 2
  • t3 = -1
  • t4 = -4
  • t5 = -7
  • t6 = -10
  • t7 = -13
  • t8 = -16
  • t9 = -19
  • t10 = -22

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that S_{10} = -85 is correct.

6 0
2 years ago
Given the coordinates of A(3, 6), B(5, 2), and C(9, 4), which coordinates for D make ABCD a square?
tankabanditka [31]

Answer:

(7,8)

Step-by-step explanation:

6 0
3 years ago
Classify the triangle.<br> O obtuse<br> O equiangular<br> Oright<br> O acute
Vsevolod [243]

Answer:

right

Step-by-step explanation:

The box in the lower corner means that the angle is equal to 90 degrees, which means the angle is a right angle

The  triangle is a right triangle

8 0
3 years ago
Read 2 more answers
Find the difference in the given lengths of the polygons . (7x + 2) units (6x - 5) units .
Tom [10]

Answer:

Difference in the lengths of the polygons is (x + 7) units.

Step-by-step explanation:

Lengths of the given polygon = (7x + 2) units and (6x - 5) units

Therefore, difference in the given lengths = (7x + 2) - (6x - 5)

                                                                      = (7x - 6x) + (2 + 5)

                                                                      = x + 7

Therefore, difference in the lengths of the polygons is (x + 7) units.

7 0
2 years ago
Other questions:
  • Yani buys a certain brand of cereal that costs $10 per box. Yani changes to a super-saving brand of the same size. The equation
    11·1 answer
  • A contractor digs a hole for the basement of a new house that is 40 feet long and 10 1/2 feet deep what is the width of the hole
    14·1 answer
  • What is 13+5i really need help
    8·1 answer
  • Here is a triangular prism.
    12·1 answer
  • 2/5×1/5= please answer me ​
    11·1 answer
  • The piecewise function h(x) is shown on the graph.
    12·1 answer
  • For this parallelogram (a) choose the best name and then (b) find the value of x and y.​
    12·1 answer
  • Graph the function f(x)= -³√x+2.
    15·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! please
    14·1 answer
  • The radius of a cylindrical water tank is 5.5 ft, and its height is 8 ft. What is the volume of the tank?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!