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
sashaice [31]
3 years ago
11

At a summer camp there is one counselor for every 5 campers. Determine whether there is a direct variation between the number of

campers, y, and the number of counselors, x. If so, find the equation of direct variation and you will get 20 points
Mathematics
1 answer:
adell [148]3 years ago
5 0
Campers = y and counselors = x.....1 counselor to 5 campers

y = kx
k = y/x
k = 5/1

y = 5x

lets check..
y = 5x....lets say u have 2 counselors...sub in 2 for x
y = 5(2)
y = 10....so when there is 2 counselors, there are 10 campers

y = 5x...lets say u have 3 counselors...sub in 3 for x
y = 5(3)
y = 15...so when there are 3 counselors, there are 15 campers

2/10 reduces to 1/5
3/15 reduces to 1/5

so yes, this is a direct variation with ur equation being y = 5x

You might be interested in
When f(x) = 2x 2 + 3, find f(-3).<br> -15<br> 21<br> 39
notsponge [240]

Answer:

21

Step-by-step explanation:

f(x) = 2x^2 + 3

f(-3) = 2(-3)^2 + 3

f(-3) = 2(9) + 3

f(-3) = 18 + 3

f(-3) = 21

6 0
3 years ago
The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili
Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

\lambda= 4.5

Formula:

P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}

a) No accidents occur in one week.

P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111

b) 5 or more accidents occur in a week.

P( x \geq 5) = 1-\displaystyle \sum P(x

c) One accident occurs today.

The mean number of accidents per day is given by

\lambda = \dfrac{4.5}{7} = 0.64

P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747

5 0
3 years ago
Keaton's dinner bill at a local restaurant before tax and tip was $25.85 if he wants to leave 15% of the bill for tip and there'
Ksju [112]
Bill = $25.85

Tips = 15% x $25.85 = $3.88

Tax = 6.25% x $25.85 = $1.62

Total amount = $25.85 + $3.88 + $1.62 = $31.35

------------------------------------------------------
Answer: He will spend $31.35 in total.
------------------------------------------------------
8 0
3 years ago
E is the midpoint of DF, DE= 73 – 3, and EF = 4.: +3.
Damm [24]

Answer:

i don't really understand what you are asking me

Step-by-step explanation:

4 0
3 years ago
Identify each shape as translation, rotation and reflection​
Wewaii [24]
1 reflection, 2 rotation,
7 0
3 years ago
Other questions:
  • Please help!
    6·2 answers
  • I want the answer for this sol 2 ( p - (-3) ) + 4 (-3 - 3) + 6 (3 - p)
    5·1 answer
  • What is the length of AC?<br><br> 3 ft<br> 4 ft<br> 9 ft<br> 18 ft
    11·1 answer
  • 17. A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds? Round your answer to the ne
    10·1 answer
  • Find all solutions by transforming the system to reduced echelon form and back substituting. (If there are an infinite number of
    5·1 answer
  • The table shows the values of a function f(x).
    5·1 answer
  • Find the slope, or rate of change, from the graph. <br><br> answer please correct answers
    5·1 answer
  • Please solve this I need help<br> +
    13·1 answer
  • What is the solution set to the given inequality?<br> 6(x-2) 2 8 + 8x
    7·1 answer
  • Identify a transformation of the function f(x) = x^2 by observing the equation of the function g(x) = (x - 6)^2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!