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laiz [17]
1 year ago
7

Piper works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on t

op of her base salary equal to 15% of her total sales for the week. How much would Piper make in a week in which she made $2050 in sales?
Mathematics
1 answer:
gavmur [86]1 year ago
3 0

Piper would make $557.5 in a week in which she made $2050 in sales

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the given parameters are:

Guarantee fee = $250 per week

Commission = 15%

Let the total sales be x and the total amount be y

So, we have:

y = Guarantee fee + Commission * x

This gives

y = 250 + 15% * x

The total sales is $2050

This gives

y = 250 + 15% * 2050

Evaluate

y = 557.5

Hence, Piper would make $557.5 in a week in which she made $2050 in sales

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

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A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio
Tatiana [17]

Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

   x (liters of 25% solution)

   y (liters of 50% solution)

 

Our system of equations will consist of two equations:

   Equation #1 (total volume of solution)

   Equation #2 (total concentration of acid)

 

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

   Equation #1:  x + y = 10

 

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

   Equation #2:  (0.25)(x) + (0.50)(y) =

                            (0.40)(10)

 

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

   x + y = 10

         y = 10 - x

 

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

   0.25(x) + 0.50(10 - x) = 0.40(10)

   0.25x + 5 - 0.50x = 4

   -0.25x = 4 - 5

   -0.25x = -1

          x = (-1)/(-0.25)

          x = 4 (liters of 25% solution)

 

Now we'll plug our value for x into Equation #1 and solve for y:

   4 + y = 10

         y  = 10 - 4

         y = 6 (liters of 50% solution)

 

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

   0.25(4) + (0.50)(6) = 0.40(10)

   1 + 3 = 4

         4 = 4 (our answers are correct)

8 0
2 years ago
Inside a square with side length 10, two congruent equilateral triangles are drawn such that they share one side and each has on
Sphinxa [80]

Answer:

5 length

Step-by-step explanation:

The diagram attached shows two equilateral triangles ABC & CDE. Since both squares share  one side of the square  BDFH of length 10, then their lengths will be 5 each. To obtain the largest square inscribed inside the original square BDFH, it makes sense to draw two other equilateral triangles AGH & EFG at the upper part of BDFH with length equal to 5.

So, the largest square that can be inscribe in the space outside the two equilateral triangles ABC & CDE and within BDFH is the square ACEG.

4 0
3 years ago
HELP ASAP!!! WILL MARK BRAINLIEST!
Levart [38]

Answer:

outlier

Step-by-step explanation:

6 0
2 years ago
Thirty-three college freshmen were randomly selected for an on-campus survey at their university. The participants' mean GPA was
Ivan

Answer: \pm0.1706

Step-by-step explanation:

Given : Sample size : n= 33

Critical value for significance level of \alpha:0.05 : z_{\alpha/2}= 1.96

Sample mean : \overline{x}=2.5

Standard deviation : \sigma= 0.5

We assume that this is a normal distribution.

Margin of error : E=\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. E=\pm (1.96)\dfrac{0.5}{\sqrt{33}}=\pm0.170596102837\approx\pm0.1706

Hence, the  margin of error is \pm0.1706

7 0
3 years ago
A(n)=-14+3(n-1)(2)<br> find A(9)
Romashka [77]

Answer: 34

Step-by-step explanation:

Substitute n with 9

-14+3(9-1)(2)

-14+3(8)(2)

= 34

7 0
2 years ago
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