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AlladinOne [14]
3 years ago
11

Mrs. Bonilla is a saleswoman at a furniture store. Her commission on rugs is 10% and her commission on furniture is 15%. Her goa

l is to make $5000 in commissions next month.
If she sells $12,500 worth of furniture, what must be the total value of the rugs she sells?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
<span>so here is how you can answer this: 

Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get, 

Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values, 
 
5000 =.1 * x + .15 * 12500.

Now it's a matter of finding for x. You should get, 

 x = $31,250.</span>
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x does not appear here.  That could cause a problem.  

Unsure of what you mean by "x minus one upon X whole cube."  Would you please go back to the original question and ensure that you have copied it down precisely.  Without "x" in your equation, there's nothing to solve for.


8 0
2 years ago
Find csc 0, sin 0, and cot 0, where is the angle shown in the figure. Give exact values, not decimals approximations. (LISTING B
professor190 [17]

Answer:

see explanation

Step-by-step explanation:

first fill out all sides of the triangle (use pythagorean theorem).

9^2 = 4^2+x^2

x^2 = 81-8 --> x^2 = 73 --> x = √73

csc theta --> hyp/opp

sin theta --> opp/hyp

cot theta --> adj/opp

hyp = 9, adj = 4, opp = √73

csc = 9/√73 --> 9√73/73

sin = √73/9

cot = 4/√73

6 0
3 years ago
I am thinking of a number x. what algebraic expression represents 7 less than three times this number?
sammy [17]

Step-by-step explanation:

Answer: 3x-7

Explanation: x times 3

(3x)

subtracted by 7

(3x-7)

Is this what you are looking for?

8 0
3 years ago
What is 2.23 as a fraction
Bezzdna [24]
2.23 as a fraction would be 2 and 23/100. Since the "3" is in the hundred<em>th</em>s place, the fraction has to be over 100. The 2 in front of the decimal point (.) is the whole number. That means 2.23 as a fraction would be 2 and 23/100. 
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Read 2 more answers
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
2 years ago
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