A summer camp wants to hire counselors aides to fill its staffing needs at minimum cost


Answer 1


8 counselors and 12 aids

Step-by-step explanation:

minimum number of staff to run camp = 20

Ratio of counselors to aids to work together = 2:3

To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4

minimum number of counselors needed = 4 x 2 = 8 counselors

minimum number of aids needed = 4 x 3 = 12 aids

Related Questions

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A quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates. Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories. At the .05 level of significance, is there sufficient evidence that the average calorie content of a 12-ounce can is greater than 120 calories? Assume that the number of calories per can is normally distributed.
In the formula N = L(1 - d), find the value of N, when L = $2,500 andd = 0.03.Pls help fast
Combine like terms to create an equivalent expression. 1/7 - 3 (3/7n - 2/7)

Can someone Help plz!!



It's c

Step-by-step explanation:

The length of BC is 14.

Because according to pytheorem

H = p +b


What is x in this problem? someone please help


This is because both of those angles are equal, so you would divide 42 by 2 and get 21

Suppose you are climbing a hill whose shape is given by the equation z = 900 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (120, 80, 764). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend descend Correct: Your answer is correct.




Step-by-step explanation:

In order to solve this problem, we are going to use some principles of vector calculation. The concepts we are going to use are Partial derivatives, gradient vector, velocity vector, direction vector, and directional derivative.

The gradient vector is a vector that describes how is the 'slope' in the space of a multivariable function at a specified point; it is built as a vector of partial derivatives. The vector velocity is a vector that describes the direction and speed of the movement of a body, if we make the velocity a unitary vector (a vector whose norm is 1), we obtain the direction vector (because we are not considering the real norm of the vector, just direction). Finally, the directional derivative is a quantity (a scalar) that describes the slope that we get on a function if we make a displacement from a particular point in a specific direction.  

The problem we have here is a problem where we want to know how will be the slope of the hill if we stand in the point (120, 80, 764) and walk due south if the hill has a shape given by z=f(x,y). As you see, we have to find the directional derivative of z=f(x,y) at a specific point (120, 80, 764) in a given displacement direction; this directional derivative will give us the slope we need. The displacement direction 'u' is (0,-1): That is because 'y' axis points north and our displacement won't be to the east either west (zero for x component), just to south, which is the opposite direction of that which the y-axis is pointing (-1 for y component). Remember that the direction vector must be a unitary vector as u=(0,-1) is.

Let's find the gradient vector:

z=900-0.005x^2-0.01y^2\n(\partial z)/(\partial x)=-0.005*2*x=-0.01x\n(\partial z)/(\partial y)=-0.01*2*y=-0.02y\n \nabla (z)=(-0.01x,-0.02y)

Evaluate the gradient vector at (120,80) (764 is z=f(120,80); you may confirm)

\nabla (z(120,80))=(-0.01*120,-0.02*80)=(-1.2,-1.6)

Finally, find the directional derivative; if you don't remember, it can be found as a dot product of the gradient vector and the direction vector):

D_(u,P_0)= \nabla (z)_(P_0)\cdot u\nD_(u,P_0)= (-1.2,-1.6)\cdot (0,-1)=1.6

As you see, the slope we find is positive, which means that we are ascending at that displacement direction.

Charlotte had $86. She spent $15 on a ticket to the zoo and then her mom gave her $24. How much money does Charlotte have now?



she had 86 so she spent 15 and this mean subtracting 15,and her mom gave her 24 so we add 24
She would have 95$
Have a great day hope it helps

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show this graphically.f(x) = e^x - 1
g(x) = In(x + 1)


Step-by-step explanation:

We need to show whether

f^(-1)(x) = g(x)


g^(-1)(x) = f(x)

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

f(x) = e^x - 1

we can also write it as:

y = e^x - 1

now all we have to do is to make x the subject of the equation.

y+1 = e^x

ln((y+1)) = x


now we'll interchange the variables


this is the inverse of f(x)


and it does equal to g(x)


Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

Simplify the quotient show the work 5 divided by nine


1.8 that is the best answer



Step-by-step explanation:

A quotient is a quantity produced by the division of two numbers.

5 / 9 = 0.555555556

0.555555556 = 0.56