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
Veronika [31]
3 years ago
8

The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $1400, which was to be divided equally among th

e members going. Prior to the trip, 3 members decided not to go. If the cost per person increased by $105, how many people went on the expedition?
Mathematics
2 answers:
Helen [10]3 years ago
8 0
To find the rate per person, we divide the additional $105 by the three people who backed out. The quotient would be 35. Hence, each person should pay $35. To determine how many people went to the expedition, divide the $1400 + $105 by 35, the answer is 43. Since 3 backed out, then the total number who actually went was 40.
julia-pushkina [17]3 years ago
3 0

Answer:

5 people

Step-by-step explanation:

Let

  • x = number of people
  • y = cost per person

The total cost was $1400, which was to be divided equally among the members going. Then,

y = 1400 / x [1]

Prior to the trip, 3 members decided not to go. The cost per person increased by $105.

y + 105 = 1400 / (x - 3)

(y + 105) . (x - 3) = 1400 [2]

We replace [1] in [2],

(1400/x + 105) . (x - 3) = 1400

1400 - 4200/x + 105x -315 = 1400

- 4200/x + 105x = 315

(- 4200 + 105x²)/x = 315

- 4200 + 105x² = 315 x

105x² - 315x - 4200 = 0

When we solve this quadratic equation using the quadratic formula, we get x₁ = 8 and x₂ = -5. Only the positive x has sense.

The people that went to the expedition was x - 3 = 8 - 3 = 5.

You might be interested in
What is the area of the figure?
Orlov [11]

Answer:

  90 in²

Step-by-step explanation:

The figure's area is that of four right triangles, each with legs of 6 in and 7.5 in. The area of each triangle is half the product of the leg lengths, so is ...

  triangle area = (1/2)(6 in)(7.5 in)

Then the area of 4 of those triangles is ...

  figure area = 4 · triangle area = 2(6 in)(7.5 in) = 90 in²

8 0
3 years ago
How can i find the answer to 188x31?
eduard
The answer to 188x31 is 5,828
7 0
3 years ago
It 5/2 not -5/2 and sorry for telling u the
babunello [35]
What does this mean buddy?
4 0
3 years ago
Read 2 more answers
Answer this question you get 50 points ​
Sliva [168]

Answer:

Angle YXZ = (1/2) sum of the intercepted arcs

Angle YXZ = (1/2) (41 + 63)

Angle YXZ = (1/2) (104)

Anglw YXZ = 52 degrees

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Read the sentences from a student’s essay about "The Treasure of Lemon Brown.”
Yuliya22 [10]
However because you can use however as “but”
8 0
2 years ago
Read 2 more answers
Other questions:
  • 2h − 3 = 3 Need some help
    13·1 answer
  • 1/6divid by 5 and I need help for my sis that is 2
    15·1 answer
  • Domino’s Pizza charges $5.99 per medium pizza and a $4 delivery fee. Which function best represents the total price depending on
    13·1 answer
  • A pipe consists of two concentric cylinders, with the inner cylinder hollowed out. Describe how you could calculate the volume o
    13·1 answer
  • 4x-6y=-24 2x-3y=-6 graphed
    12·1 answer
  • F(x) = x^2. What is g(x)?​
    7·2 answers
  • What is the simplest form of x^2+5x-6/x^2+9+18?
    6·2 answers
  • Lauren can spend no more then 10$ at a video game arcade. Each game in the arcade costs 0.25$
    13·1 answer
  • An arithmetic sequence is defined by its 1st term a1 = 7 and the sum of the first 10 terms s10 = 25. Find the difference d of th
    9·1 answer
  • X^2-121=0 I need help with this question.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!