The question is incomplete:
Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p
=
s^2+9s-142, where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000?
Answer:
s>42
Reyna needs to sell more than 42 T-shirts.
Step-by-step explanation:
Given that you have to find the amount of T-shirts that should be sold to earn a profit of more than $2,000, you have to find the amount required to earn $2,000 by replacing p with 2,000 and solving for s:
s^2+9s-142=2000
s^2+9s-2142=0
(s+
)^2-2142-()^2=0
(s+)^2=2142+()^2
(s+)^2=2142+
(s+)^2=
s+=
s=
s=
s=
s=42
According to this, Reyna needs to sell more than 42 T-shirts to earn a profit of more than $2,000.
Hello!
1. 2=e-1
First, you switch sides.
Then, you add 1 from both sides of an equation.
Add by the numbers.
, is the correct answer.
_____________________________________________
2. r-3=1
First, you add by 3 both sides of an equation.
Add by the numbers.
, is the correct answer.
__________________________________________________
3. z-6.3=2.1
First, you add by 6.3 both sides of an equation.
Add by the numbers.
, is the correct answer.
____________________________________________________
4. t-9.25=5.5
First, you add by 9.25 both sides of an equation.
Simplify.
, is the correct answer.
____________________________________________________
5. k-32.9=16.5
First, you add 32.9 both sides of an equation
Add by the numbers.
, is the correct answer.
______________________________________________________
Hope this helps!
Have a nice day! :)
:D
-Charlie
Thank you!
Answer:
<u><em>Ms. Felix would spend $491.75 on her order.</em></u>
Step-by-step explanation:
First, let's identify the components of this word problem that we'll need to solve it. We know that Staples charges $28 for 8 boxes of pencils, and $47 for 4 pencil sharpeners. Before we do anything else, we'll find the unit price of the pencils and pencil sharpeners to make it easier for us. Let's begin with the boxes of pencils. 28 ÷ 8 = $3.50 per box of pencils. As for the pencil sharpeners, 47 ÷ 4 = $11.75 per sharpener. Now that we know the basic costs, let's use them to solve our problem at hand. We'll multiply the number of items ordered by the base cost of the item.
Boxes Of Pencils:
70 × $3.50= $245.00
Sharpeners:
21 × $11.75= $246.75
Now that we know the cost of the two seperate items Ms. Felix ordered, let's add them to get our final answer.
<h3>$245 + $246.75 = $491.75</h3><h3 />
Our final answer would be $491.75.
In short, to convert two fractions to have the same denominator, we simply multiply one by the denominator of the other, so in this case, we'll multiply 1/3 by 5, top and bottom, and 1/5 by 3, top and bottom, thus
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![\bf \cfrac{15x^{\frac{1}{3}}}{y^{\frac{1}{5}}}\qquad \begin{cases} \frac{1}{3}=\frac{1\cdot 5}{3\cdot 5}\\ \qquad \frac{5}{15}\\\\ \frac{1}{5}=\frac{1\cdot 3}{5\cdot 3}\\ \qquad \frac{3}{15} \end{cases}\implies \cfrac{15x^{\frac{5}{15}}}{y^{\frac{3}{15}}}\implies 15\cdot \cfrac{x^{\frac{5}{15}}}{y^{\frac{3}{15}}}\implies 15\cdot \cfrac{\sqrt[15]{x^5}}{\sqrt[15]{y^3}} \\\\\\ 15\sqrt[15]{\frac{x^5}{y^3}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B15x%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%7By%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%7D%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0A%5Cfrac%7B1%7D%7B3%7D%3D%5Cfrac%7B1%5Ccdot%205%7D%7B3%5Ccdot%205%7D%5C%5C%0A%5Cqquad%20%5Cfrac%7B5%7D%7B15%7D%5C%5C%5C%5C%0A%5Cfrac%7B1%7D%7B5%7D%3D%5Cfrac%7B1%5Ccdot%203%7D%7B5%5Ccdot%203%7D%5C%5C%0A%5Cqquad%20%5Cfrac%7B3%7D%7B15%7D%0A%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7B15x%5E%7B%5Cfrac%7B5%7D%7B15%7D%7D%7D%7By%5E%7B%5Cfrac%7B3%7D%7B15%7D%7D%7D%5Cimplies%2015%5Ccdot%20%5Ccfrac%7Bx%5E%7B%5Cfrac%7B5%7D%7B15%7D%7D%7D%7By%5E%7B%5Cfrac%7B3%7D%7B15%7D%7D%7D%5Cimplies%2015%5Ccdot%20%5Ccfrac%7B%5Csqrt%5B15%5D%7Bx%5E5%7D%7D%7B%5Csqrt%5B15%5D%7By%5E3%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A15%5Csqrt%5B15%5D%7B%5Cfrac%7Bx%5E5%7D%7By%5E3%7D%7D)
